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no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{-webkit-flex:9;-ms-flex:9;flex:9;text-align:left;padding:21px 37px 10px 0px;font-size:16px;font-weight:700;} @media (min-width:768px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption 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no-repeat 6px;background-position:center;padding:16px 0 16px 0;min-width:62px;max-width:62px;} @media (min-width:768px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:16px 0 17px 0;min-width:52px;max-width:52px;}} @media (min-width:992px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 18px 19px 21px;}} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .cRDvIO .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .cRDvIO ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .cRDvIO ol li{margin:10px 0;padding-left:10px;word-break:normal;} .cRDvIO ol li a{word-break:break-all;} .cRDvIO ol li .reflinks{display:block;} .cRDvIO ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .cRDvIO ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .cRDvIO ol li .reflinks .sep{color:#000000;} .cRDvIO .table-wrapper{width:auto;overflow-x:auto;} .cRDvIO .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .cRDvIO .table-wrapper::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(0,0,0,.5);-webkit-box-shadow:0 0 1px rgba(255,255,255,.5);} @media (min-width:768px){.cRDvIO .table-wrapper{overflow-x:auto;width:auto;-webkit-break-word:word-break;break-word:word-break;margin:0 auto;}} @media (min-width:992px){.cRDvIO .table-wrapper{width:auto;}} @media (min-width:1324px){.cRDvIO .table-wrapper{width:auto;}} @media (min-width:320px){.cRDvIO{margin-bottom:33px;padding:0;}} @media (min-width:992px){.cRDvIO{padding:0;margin-bottom:100px;}} @media (min-width:1325px){.cRDvIO{margin-bottom:100px;}} .cRDvIO .owl-stage{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .cRDvIO .floats-partial-middle--thumbs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .cRDvIO .floats-partial-middle--thumbs .partial-carousel-dot svg{fill:#4D8A17;} .cRDvIO .floats-partial-middle--thumbs .partial-carousel-dot strong{color:#4D8A17;font-weight:500;} .cRDvIO .floats-partial-middle--thumbs .partial-carousel-dot.active strong{color:#007B8B;} .cRDvIO 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src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iMTgiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAxOCAyMiI+PGRlZnM+PGNsaXBQYXRoIGlkPSJhIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjNBMywzLDAsMCwxLDMsMGg4YS45OTEuOTkxLDAsMCwxLC41NzMuMTgxbDAsMCwuMDA4LjAwNmEuOTU1Ljk1NSwwLDAsMSwuMTIyLjFsNiw2YTEuMDI1LDEuMDI1LDAsMCwxLC4xLjEyMmwuMDA2LjAxLDAsMEExLDEsMCwwLDEsMTgsNi45NzVWMTlhMywzLDAsMCwxLTMsM1pNMiwzVjE5YTEsMSwwLDAsMCwxLDFIMTVhMSwxLDAsMCwwLDEtMVY4SDExYTEsMSwwLDAsMS0xLTFWMkgzQTEsMSwwLDAsMCwyLDNaTTEyLDZoMi41ODdMMTIsMy40MTRaTTgsMTdWMTVINmExLDEsMCwwLDEsMC0ySDhWMTFhMSwxLDAsMSwxLDIsMHYyaDJhMSwxLDAsMCwxLDAsMkgxMHYyYTEsMSwwLDAsMS0yLDBaIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgzIDEpIi8+PC9jbGlwUGF0aD48L2RlZnM+PGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoLTMgLTEpIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjNBMywzLDAsMCwxLDMsMGg4YS45OTEuOTkxLDAsMCwxLC41NzMuMTgxbDAsMCwuMDA4LjAwNmEuOTU1Ljk1NSwwLDAsMSwuMTIyLjFsNiw2YTEuMDI1LDEuMDI1LDAsMCwxLC4xLjEyMmwuMDA2LjAxLDAsMEExLDEsMCwwLDEsMTgsNi45NzVWMTlhMywzLDAsMCwxLTMsM1pNMiwzVjE5YTEsMSwwLDAsMCwxLDFIMTVhMSwxLDAsMCwwLDEtMVY4SDExYTEsMSwwLDAsMS0xLTFWMkgzQTEsMSwwLDAsMCwyLDNaTTEyLDZoMi41ODdMMTIsMy40MTRaTTgsMTdWMTVINmExLDEsMCwwLDEsMC0ySDhWMTFhMSwxLDAsMSwxLDIsMHYyaDJhMSwxLDAsMCwxLDAsMkgxMHYyYTEsMSwwLDAsMS0yLDBaIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgzIDEpIi8+PGcgY2xpcC1wYXRoPSJ1cmwoI2EpIj48cmVjdCB3aWR0aD0iMjQiIGhlaWdodD0iMjQiIGZpbGw9InJnYmEoMCwwLDAsMCkiLz48cmVjdCB3aWR0aD0iMjQiIGhlaWdodD0iMjQiIGZpbGw9IiNmZmYiLz48L2c+PC9nPjwvc3ZnPg==" height="24"><span class="text">提交</年代p一个n></span><span class="sc-htoDjs kNoiZu sc-dqBHgY cQgXqt fileArrow icon-colored undefined icon-themeable" title="" font-size="16"></span></a> <div class="sc-krDsej ewCAZX hide__submenu journalSubmenuCheck" id="journalnav__submenu"> <button class="sc-itybZL kdvWPs journalSubmenuCheck"><span class="sc-htoDjs gvAGTV sc-fzsDOv hAFFGk journalSubmenuCheck icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span></button> </div> <div class="sc-dTdPqK lkWWFY hide__submenu journal__nav__desktop" id="journalnav__submenudesktop"> <div order="0" class="sc-kUaPvJ ehYbwJ"> <div class="sc-gPWkxV legory"></div> <div class="sc-gPWkxV legory"></div> </div> <div class="sc-jVODtj epgILe"></div> <span class="sc-fONwsr kCfRMJ"></span> </div> </nav> </div> <div class="sc-nrwXf byflLi breadcrumb__wrapper journal_article__BreadCrumbStyle-sc-12fk6zy-2 bjwAQR article"> <a class="sc-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/ijap/" aria-label="International Journal of Antennas and Propagation">国际期刊的天线和传播</一个>/<一个cl作为年代=”年代c-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/ijap/contents/year/2012/" aria-label="2012">2012年</一个>/<年代p一个ncl作为年代=”年代c-bhlBdH UVThf">文章</年代p一个n> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 dDyxFF threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-eKZiaR dzZrgS section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</gydF4y2Babutton> <div class="sc-bEjcJn jLUVhb static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-cbkKFq prcY sc-bGbJRg dVCLgr left_section_menu"> <p>在这一页上</pgydF4y2Ba> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#abstract" aria-label="">文摘</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#introduction" aria-label="">介绍</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#conclusions" aria-label="">结论</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#acknowledgments" aria-label="">确认</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#references" aria-label="">引用</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#copyright" aria-label="">版权</一个></span> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-chbbiW mBGSe article_header_class"> <div class="sc-kxynE fgGykB"> <span class="sc-cooIXK gQxyld">特殊的问题</年代p一个n> <h2 class="sc-fcdeBU bVtmCk">天线设计和系统技术的进步为下一代蜂窝系统</gydF4y2Bah2> <a class="sc-htpNat bUhGXt link sc-gmeYpB hSHJbi" href="//www.newsama.com/journals/ijap/si/150639/" aria-label="">把这个特殊的问题</一个> <hr class="sc-clNaTc ktFfKO"> </div> <p class="sc-kZmsYB bkiEfx article_type">研究文章|<gydF4y2Ba!-- -->开放获取</pgydF4y2Ba> <div class="sc-RcBXQ ztvYg article_citation"> 体积<gydF4y2Ba!-- --> 2012年<gydF4y2Ba!-- --> <span class="sc-fZwumE cUsFHx">|</年代p一个n>文章的ID<gydF4y2Ba!-- --> 983092年<gydF4y2Ba!-- --> <span class="sc-fZwumE cUsFHx">|</年代p一个n> <a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2012/983092" aria-label="Doi-link">https://doi.org/10.1155/2012/983092</一个> </div> <div class="sc-LKuAh lcOiDF article_full_citation"> <div class="sc-hzNEM gsmOCv isHide"> <p>Ling-yun徐、张小飞Zong-ze徐,苗<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> ”<年代p一个ncl作为年代=”一个djust-article-svg-size">关节2 d-doa和频率为l型阵列使用迭代最小二乘方法估计</年代p一个n>”,<gydF4y2Ba!-- --><i>国际期刊的天线和传播</我>,<gydF4y2Ba!-- --> 卷。<gydF4y2Ba!-- -->2012年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 文章的ID<gydF4y2Ba!-- -->983092年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 8<gydF4y2Ba!-- -->   页面<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 2012年<gydF4y2Ba!-- -->。<gydF4y2Ba!-- --> https://doi.org/10.1155/2012/983092</pgydF4y2Ba> </div> <button class="sc-hSdWYo etauus sc-iBEsjs kPshFw" color="">显示引用</gydF4y2Babutton> </div> <h1 class="sc-iRbamj jZOxOO sc-iSDuPN jMdfPj article_title adjust-article-svg-size heading-title">关节2 d-doa和频率为l型阵列使用迭代最小二乘方法估计</gydF4y2Bah1> </div> <div class="sc-jrIrqw eHMFfo article_authors"> <hr class="sc-cEvuZC XkrFe hr__author"> <span class=""><b>Ling-yun徐</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-hjRWVT irNWJI icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a>,<年代up>1<gydF4y2Ba!-- -->,<gydF4y2Ba!-- -->2</年代up></span> <span class="">张小飞<gydF4y2Ba!-- -->,<年代up>1</年代up></span> <span class="">Zong-ze徐<gydF4y2Ba!-- -->,<年代up>1</年代up> 和</年代p一个n> <span class="">苗族余<年代up>2</年代up></span> <div class="sc-fHxwqH dMuGGA isHide"> <p><sup>1</年代up><span>电子信息工程学院、南京航空航天大学,南京210016年,中国</年代p一个n></p> <p><sup>2</年代up><span>210007年南京通信技术研究所、南京,中国</年代p一个n></p> </div> <button class="sc-hSdWYo etauus sc-iQtOjA kfDwZY" color="">显示更多</gydF4y2Babutton> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</gydF4y2Bab>Jung-Chieh陈</d我v> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年5月19日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">修改后的</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年7月20日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年7月24日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年9月12日</年代p一个n> </div> </div> </div> <article class="sc-jtRlXQ cRDvIO article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>我们引入一个迭代最小二乘方法(ILS)估算2 d-doa基于l型阵列和频率。迭代盲降发现方向矩阵和延时矩阵,然后2 d-doa和频率可以通过最小二乘法获得。无需谱峰搜索和匹配,该算法和双参数自动运行的很好。此外,我们的算法具有更好的性能比传统的ESPRIT算法和传播算子方法。有用的仿真实验验证了该算法的行为。</pgydF4y2Ba> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>天线阵列已经使用在许多领域,如雷达、声纳、移动通信,等等,<一个href="#B1">1</一个>- - - - - -<一个href="#B6">6</一个>]。信号的到达方向和频率估计侵犯一个数组的传感器已收到相当大的阵列信号处理领域的关注。例如,这些参数可用于定位手机和分配在太空飞行员音调的时分多址(SDMA)系统。此外,精确估计这些参数有助于达到更好的信道估计,从而提高了系统性能(<一个href="#B7">7</一个>]。均匀线性阵列波估计的到来已经被广泛的研究,和它们包含最大似然(ML) [<一个href="#B8">8</一个>)、多信号分类算法(音乐)(<一个href="#B9">9</一个>,<一个href="#B10">10</一个>),通过旋转不变技术估计信号参数(ESPRIT) [<一个href="#B11">11</一个>,<一个href="#B12">12</一个>),传播算子方法(PM) (<一个href="#B13">13</一个>),等等。</pgydF4y2Ba> <p>毫升方法通常适用但可能计算的。ESPRIT和音乐算法是基于信号子空间和有更好的参数估计性能。音乐/ ESPRIT的主要优点是高分辨率的估计到达方向(DOAs)和频率,而计算工作量毫升方法相比显著降低。音乐需要多个维谱峰搜索,搜索仍需要大量的计算。ESPRIT的主要计算的优势是,它可以消除固有的搜索过程。ESPRIT方法需要(EVD)交叉谱矩阵特征值分解和奇异值分解(圣)接收到的数据。文献[<一个href="#B13">13</一个>)提出了传播算子方法估计均匀线性阵列的角度和频率。传播算子方法具有较低的复杂度,但其参数的估计性能小于ESPRIT算法。与均匀线性阵列相比,l型阵列可以识别2 d-doa和非常接近实际情况<一个href="#B14">14</一个>,<一个href="#B15">15</一个>]。因此我们提出一个新颖的iterative-based角度和频率估计算法和l型阵列可以实现更好的性能比ESPRIT (<一个href="#B11">11</一个>)和传播算子方法(<一个href="#B13">13</一个>]。该算法可以获得自动配对2 d-doa和频率估计。这个方法是一个迭代的算法,不需要EVD或圣言,只需要更少的迭代收敛性。有用的仿真实验验证了该算法的行为。</pgydF4y2Ba> <p>本文的其余部分的结构如下。部分<一个href="#sec2">2</一个>开发数据模型。部分<一个href="#sec3">3</一个>处理算法的问题。部分<一个href="#sec4">4</一个>给出了仿真结果,部分<一个href="#sec5">5</一个>总结了我们的结论。</pgydF4y2Ba> <p><span class="statement" id="head1"><span class="statement-title"><i class="statement-title">表示</我></span><br>我们表示<年代vg height="14.5" id="M1" style="vertical-align:-2.21957pt;width:21.35px;" version="1.1" viewbox="0 0 21.35 14.5" width="21.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5)"> <g transform="translate(72,-60.4)"> <text transform="matrix(1,0,0,-1,-71.95,62.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ⋅</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.739357" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.05,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> </text> </g> </g> </svg>复杂的结合,<年代vg height="16.5" id="M2" style="vertical-align:-2.21957pt;width:23.387501px;" version="1.1" viewbox="0 0 23.387501 16.5" width="23.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5)"> <g transform="translate(72,-58.8)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ⋅</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.739357" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.05,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>矩阵的转置,<年代vg height="16.5" id="M3" style="vertical-align:-2.21957pt;width:26.1625px;" version="1.1" viewbox="0 0 26.1625 16.5" width="26.1625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5)"> <g transform="translate(72,-58.8)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ⋅</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.739357" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.05,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>矩阵的共轭转置。<年代vg height="14.2" id="M4" style="vertical-align:-2.73372pt;width:51.724998px;" version="1.1" viewbox="0 0 51.724998 14.2" width="51.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2)"> <g transform="translate(72,-60.64)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.693665" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.695105" y="0"> ⋅</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.270962" y="0"> }</t年代p一个n> </text> </g> </g> </svg>是构造一个对角矩阵。</年代p一个n></p> <h4 id="data-model">2。数据模型</gydF4y2Bah4> <p>我们考虑一个l型阵列传感器<年代vg height="10.6875" id="M5" style="vertical-align:-0.0pt;width:49.112499px;" version="1.1" viewbox="0 0 49.112499 10.6875" width="49.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.592682" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.932903" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>不同的位置如图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig1/" target="_blank">1</一个>。一个统一的线性数组包含<年代vg height="10.325" id="M6" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>元素位于<年代vg height="10.325" id="M7" style="vertical-align:-0.0pt;width:11.6125px;" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在,另均匀线性阵列包含<年代vg height="10.325" id="M8" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>元素位于<年代vg height="10.325" id="M9" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在。我们假设<年代vg height="10.325" id="M10" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>窄带不相关的信号来源影响l型阵列<年代vg height="14.7125" id="M11" style="vertical-align:-3.2316pt;width:153.9375px;" version="1.1" viewbox="0 0 153.9375 14.7125" width="153.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.72,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.48,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.98,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.821095" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.072594" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.286346" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.537846" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.330093" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="78.543846" y="0"> </t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="14.5875" id="M12" style="vertical-align:-3.2316pt;width:37.387501px;" version="1.1" viewbox="0 0 37.387501 14.5875" width="37.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.89,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.64,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-47.38,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的仰角和方位角是吗<我>k</我>分别th来源。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.001" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.001.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> l型阵列的结构。</t一个ble> </div> </div> </div> <p>接收到的信号<年代vg height="10.325" id="M13" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>元素<年代vg height="10.325" id="M14" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在显示<年代p一个ncl作为年代=”equation" id="EEq1"> <svg height="16.5375" id="M15" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,148.4,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.65,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.6,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.716271" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.38,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.7,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.955269" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.29549" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,246.03,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,252.99,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="221.13" y="0.63"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="225.2935" y="0.63"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.545" y="0.63"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="17.424999" id="M16" style="vertical-align:-3.13504pt;width:186.0125px;" version="1.1" viewbox="0 0 186.0125 17.424999" width="186.0125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.425)"> <g transform="translate(72,-58.06)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.567434" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.607822" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.771324" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.67,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.8,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.240437" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.441685" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-1.84,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,3.03,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.240437" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.441685" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.032684" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.233932" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,45.78,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,53.65,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.240437" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,70.05,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是源矩阵,<年代vg height="14.6" id="M17" style="vertical-align:-3.13504pt;width:32.799999px;" version="1.1" viewbox="0 0 32.799999 14.6" width="32.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.05,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是收到了加性高斯白噪声,<年代vg height="14.9125" id="M18" style="vertical-align:-3.21404pt;width:238.8625px;" version="1.1" viewbox="0 0 238.8625 14.9125" width="238.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9125)"> <g transform="translate(72,-60.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.14,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.191385" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.69,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.37,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.16,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-11.28,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,1.99,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.86,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,19.01,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.89,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.51,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,44.82,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,55.04,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,59.91,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,73.19,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,78.06,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,90.21,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,95.08,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> …</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="17.737499" id="M19" style="vertical-align:-3.21404pt;width:157.27499px;" version="1.1" viewbox="0 0 157.27499 17.737499" width="157.27499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.7375)"> <g transform="translate(72,-57.81)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.39,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.17,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-42.3,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.03,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.16,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.01,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-1.15,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> ℂ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,31.51,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7957602" y="0"> ×</t年代p一个n> <tspan style="font-size: 8.75px; " x="14.39704" y="0"> </t年代p一个n> </text> </g> </g> </svg>是<年代vg height="10.325" id="M20" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在方向矩阵,<年代vg height="17.549999" id="M21" style="vertical-align:-3.2316pt;width:334px;" version="1.1" viewbox="0 0 334 17.549999" width="334" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.55)"> <g transform="translate(72,-57.96)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.39,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.17,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.93,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.66,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.41,61.23)"> <tspan style="font-size: 12.50px; 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style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,60.93,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,66.17,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,78.32,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,83.57,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.943245" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.66,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,128.74,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.96,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.2,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,157.47,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,162.72,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.87,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.11,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.43,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.825" id="M22" style="vertical-align:-3.2316pt;width:294.58749px;" version="1.1" viewbox="0 0 294.58749 14.825" width="294.58749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-67.78,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.64,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.4,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.13,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.88,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-15.73,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-10.49,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.470051" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.885052" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.04855" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.613106" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.476772" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.728271" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.330093" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.81987" y="0"> c</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.371201" y="0"> o</t年代p一个n> <tspan style="font-size: 12.50px; " x="94.622704" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.64987" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,99.22,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,106.55,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.37,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.61,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,145.55,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,150.79,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6645794" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>接收到的信号<年代vg height="10.325" id="M23" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>元素<年代vg height="10.325" id="M24" style="vertical-align:-0.0pt;width:11.6125px;" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在被表示为<年代p一个ncl作为年代=”equation" id="EEq2"> <svg height="17.15" id="M25" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.15" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.15)"> <g transform="translate(72,-58.28)"> <text transform="matrix(1,0,0,-1,148.63,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.88,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.84,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.62,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.46,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.955269" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.307991" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.8,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,252.75,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="221.37" y="1.12"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="225.53349" y="1.12"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.785" y="1.12"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="19.887501" id="M26" style="vertical-align:-4.74141pt;width:420.41251px;" version="1.1" viewbox="0 0 420.41251 19.887501" width="420.41251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8875)"> <g transform="translate(72,-56.09)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.61,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.191385" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.16,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.32,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-17.1,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-12.23,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,1.04,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.92,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,18.07,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,22.94,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,38.57,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.41,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,53.62,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,58.5,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,71.77,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,76.64,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,88.79,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,93.67,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.09,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.93,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.14,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.01,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,165.28,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,173.15,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,185.3,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,193.17,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.790329" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> ℂ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.82,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="11.710176" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="17.705296" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="22.081297" y="0"> )</t年代p一个n> <tspan style="font-size: 8.75px; " x="24.995712" y="0"> ×</t年代p一个n> <tspan style="font-size: 8.75px; " x="30.596992" y="0"> </t年代p一个n> </text> </g> </g> </svg>是<年代vg height="10.325" id="M27" style="vertical-align:-0.0pt;width:11.6125px;" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设在方向矩阵和<年代vg height="19.674999" id="M28" style="vertical-align:-4.74141pt;width:299.97501px;" version="1.1" viewbox="0 0 299.97501 19.674999" width="299.97501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.675)"> <g transform="translate(72,-56.26)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.86,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.64,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.4,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.13,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.89,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.74,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.5,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,30.88,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,36.13,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,49.4,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,54.64,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,66.79,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,72.03,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,87.73,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,92.61,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,102.82,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.06,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.34,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.58,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.73,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,143.97,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="17.799999" id="M29" style="vertical-align:-3.2316pt;width:115.6125px;" version="1.1" viewbox="0 0 115.6125 17.799999" width="115.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8)"> <g transform="translate(72,-57.76)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.62,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7957602" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="14.79088" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.96,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.74,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.5,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-17.23,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-11.99,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,0.16,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.41,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,13.73,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.825" id="M30" style="vertical-align:-3.2316pt;width:287.28751px;" version="1.1" viewbox="0 0 287.28751 14.825" width="287.28751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.41,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.17,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.89,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.65,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.5,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.26,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.470051" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.885052" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.04855" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.613106" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.476772" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.728271" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.330093" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.81987" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="87.68354" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="91.15937" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.57437" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,93.38,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,100.7,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127.53,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,132.77,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,139.71,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6645794" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.6" id="M31" style="vertical-align:-3.13504pt;width:32.799999px;" version="1.1" viewbox="0 0 32.799999 14.6" width="32.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.05,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是高斯白噪声。</pgydF4y2Ba> <p>l型阵列天线的接收信号可以表示为<年代p一个ncl作为年代=”equation" id="EEq3"> <svg height="62.637501" id="M32" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 62.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,62.6375)"> <g transform="translate(72,-21.89)"> <text transform="matrix(1,0,0,-1,86.93,43.82)"> <tspan style="font-size: 12.50px; " x="36.34" y="-13.08"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.34" y="-2.23"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.34" y="8.6099997"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.34" y="19.4"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.959999" y="-10.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.5770578" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.740557" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.293329" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.15,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,128.89,29.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.15,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.02,56.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.690001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.48"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1000004" y="13.08"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.139999" y="0"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.139999" y="10.85"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.139999" y="21.690001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.139999" y="32.48"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.76" y="2.45"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,175.81,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,167.02,29.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.05,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.12,56.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.690001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.48"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.71" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.649165" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.812664" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.726103" y="13.08"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.677771" y="13.08"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.01799" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.13316" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.296658" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.210098" y="13.08"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.836929" y="13.08"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.877319" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="88.90448" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.856148" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="100.01965" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="103.93309" y="13.08"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.87225" y="13.08"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.21247" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="133.32764" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.49113" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="141.40457" y="13.08"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="147.65608" y="13.08"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="293" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="297.16351" y="13.08"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="303.41501" y="13.08"> )</t年代p一个n> </text> </g> </g> </svg></span>的方向矩阵<年代vg height="10.9125" id="M33" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和噪声矩阵<年代vg height="13.45" id="M34" style="vertical-align:-2.21957pt;width:26.7125px;" version="1.1" viewbox="0 0 26.7125 13.45" width="26.7125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.104103" y="0"> )</t年代p一个n> </text> </g> </g> </svg>所示如下:<年代p一个ncl作为年代=”equation" id="eq4"> <svg height="62.637501" id="M35" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 62.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,62.6375)"> <g transform="translate(72,-21.89)"> <text transform="matrix(1,0,0,-1,128.97,43.82)"> <tspan style="font-size: 12.50px; " x="24.540001" y="-13.08"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.540001" y="-2.23"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.540001" y="8.6099997"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.540001" y="19.4"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.16" y="-10.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,168.16,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.37,29.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,168.4,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,173.47,56.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.690001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.48"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.709999" y="0"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.709999" y="10.85"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.709999" y="21.690001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.709999" y="32.48"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.339996" y="2.45"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.71" y="13.08"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.84103" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.956196" y="13.08"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.119698" y="13.08"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.033134" y="13.08"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.659966" y="13.08"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.83,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,266.79,54.45)"> <tspan style="font-size: 12.50px; " x="-15.98" y="25.01"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.83,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,266.79,29.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.24" y="-27.450001"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.24" y="-16.6"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.24" y="-5.7600002"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.24" y="5.0300002"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0734386" y="0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.950001" y="-14.37"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="207.33" y="-14.37"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="211.4935" y="-14.37"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="217.745" y="-14.37"> )</t年代p一个n> </text> </g> </g> </svg></span> <svg height="14.9125" id="M36" style="vertical-align:-3.21404pt;width:18.049999px;" version="1.1" viewbox="0 0 18.049999 14.9125" width="18.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9125)"> <g transform="translate(72,-60.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="16.8125" id="M37" style="vertical-align:-4.74141pt;width:17.4625px;" version="1.1" viewbox="0 0 17.4625 16.8125" width="17.4625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.8125)"> <g transform="translate(72,-58.55)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>范德蒙矩阵。延迟的信号(<一个href="#EEq3">3</一个>),<年代vg height="12.725" id="M38" style="vertical-align:-4.74141pt;width:13px;" version="1.1" viewbox="0 0 13 12.725" width="13" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.725)"> <g transform="translate(72,-61.82)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-66.42,63.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>可以表示为<年代p一个ncl作为年代=”equation" id="EEq4"> <svg height="50.1875" id="M39" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.1875)"> <g transform="translate(72,-31.85)"> <text transform="matrix(1,0,0,-1,115.66,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.5900002" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.44" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.129105" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.469326" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,153.66,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,158.44,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.330002" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.375051" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.189999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.866604" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.219326" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.19,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,229.96,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.09" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.939999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.629105" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.969326" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,290.46,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.24,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-127.48" y="21.99"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="-115.45211" y="21.99"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-106.42495" y="21.99"> Φ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.37,33.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.14,36.63)"> <tspan style="font-size: 12.50px; " x="44.419998" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.967772" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.307991" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.279999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="56.9566" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.309326" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,276.98,33.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,281.76,34.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="192.36" y="-14.69"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="196.5235" y="-14.69"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="202.77499" y="-14.69"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="19.674999" id="M40" style="vertical-align:-4.74141pt;width:274.375px;" version="1.1" viewbox="0 0 274.375 19.674999" width="274.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.675)"> <g transform="translate(72,-56.26)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.41,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.16,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.306553" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.734055" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.897552" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-6.7,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.096865" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.26,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,20.88,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,24.75,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,28.8,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.58,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.088112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,63.53,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,67.16,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,71.02,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,75.08,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,105.65,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.088112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.6,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.36,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,139.23,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,143.29,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>我们假设信道状态信息是恒定的<年代vg height="10.325" id="M41" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>符号。阵列天线的接收信号可以表示为<年代p一个ncl作为年代=”equation" id="EEq5"> <svg height="17.15" id="M42" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.15" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.15)"> <g transform="translate(72,-58.28)"> <text transform="matrix(1,0,0,-1,162.35,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,171.37,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.63,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> Φ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,210.23,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,215.01,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.58,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,253.36,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="220.75999" y="1.12"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="224.92349" y="1.12"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.175" y="1.12"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="16.85" id="M43" style="vertical-align:-4.74141pt;width:453.76251px;" version="1.1" viewbox="0 0 453.76251 16.85" width="453.76251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.85)"> <g transform="translate(72,-58.52)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.45,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.2,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.231054" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.394552" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-17.89,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-10.24,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.63,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.41,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.391912" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,37.89,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,45.54,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,62.41,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,67.19,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.184162" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.34766" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,113.46,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,124.97,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,141.84,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,146.62,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.528246" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.996136" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.159637" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.023304" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.186802" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.72,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.6,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.228414" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.391912" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.91,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.79,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.020664" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.184162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,273.9,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.63,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>延时矩阵定义为<年代p一个ncl作为年代=”equation" id="EEq6"> <svg height="125.15" id="M44" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 125.15" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,125.15)"> <g transform="translate(72,28.12)"> <text transform="matrix(1,0,0,-1,78.56,18.81)"> <tspan style="font-size: 12.50px; " x="25.049999" y="-38.080002"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="-26.290001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="-14.5"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="-2.71"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="9.0799999"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="20.870001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="32.669998"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.049999" y="44.389999"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.440001" y="-10.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.00312" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.880001" y="-35.639999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="97.510002" y="-35.639999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.62997" y="-35.639999"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="168.23947" y="-35.639999"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,115.56,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.096865" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,139.52,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,143.14,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,147.01,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,158.63,29.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,164.2,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.088112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.15,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.78,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.64,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,207.2,29.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.092562" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.86,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.096865" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,257.82,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,263.58,34.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,267.45,32.25)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.63,4.43)"> <tspan style="font-size: 12.50px; " x="-16.389999" y="25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.639999" y="0"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.872734" y="0"> ⋱</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.36947" y="0"> ⋮</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,114.8,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.088112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.75,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.38,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,146.25,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,157.87,-20.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,163.43,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.096865" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,187.39,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.01,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.88,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,207.2,-20.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.1,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.088112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,257.05,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,262.82,-15.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,266.68,-17.76)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,272.33,56.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="11.79"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="23.58"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="35.369999"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="47.16"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="58.950001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="70.739998"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="82.470001"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1000004" y="38.080002"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.127886" y="38.080002"> ℂ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,302.28,23.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="8.1131039" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="14.108224" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="18.484224" y="0"> )</t年代p一个n> <tspan style="font-size: 8.75px; " x="21.39864" y="0"> ×</t年代p一个n> <tspan style="font-size: 8.75px; " x="26.99992" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,337.15,18.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="136.97" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.1335" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="147.38499" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>方程(<一个href="#EEq5">6</一个>)也表示<年代p一个ncl作为年代=”equation" id="EEq7"> <svg height="17.15" id="M45" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.15" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.15)"> <g transform="translate(72,-58.28)"> <text transform="matrix(1,0,0,-1,97.5,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,106.53,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,114.78,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,145.72,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.59,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.669619" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.009838" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,206.11,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,210.89,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.166139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.755939" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.796329" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.047829" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.249077" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.500576" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.714329" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.305328" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.506577" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.709023" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.06175" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.31325" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="263.23001" y="1.12"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="267.39349" y="1.12"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="273.64499" y="1.12"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="14.6875" id="M46" style="vertical-align:-3.20526pt;width:35.737499px;" version="1.1" viewbox="0 0 35.737499 14.6875" width="35.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ⋅</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.739357" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是提取<我>米</我>th行矩阵的参数,构造一个对角矩阵。</pgydF4y2Ba> <h4 id="iterative-least-squares-method">3所示。迭代最小二乘方法</gydF4y2Bah4> <p>它可以看到从(<一个href="#EEq7">8</一个>),如果方向矩阵<年代vg height="10.9125" id="M47" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="10.475" id="M48" style="vertical-align:-0.0pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 10.475" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.475)"> <g transform="translate(72,-63.62)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> </g> </g> </svg>得到,那么估计2 d-doa立即和频率跟踪基于l型阵列的几何图形。因此本节的重点是估算<年代vg height="10.9125" id="M49" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="10.475" id="M50" style="vertical-align:-0.0pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 10.475" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.475)"> <g transform="translate(72,-63.62)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <h5 id="sec3.1">3.1。盲降成本函数</gydF4y2Bah5> <p>成本函数可以通过最小二乘准则,给出了构造<年代p一个ncl作为年代=”equation" id="EEq8"> <svg height="52.799999" id="M51" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.799999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,52.8)"> <g transform="translate(72,-29.76)"> <text transform="matrix(1,0,0,-1,64.48,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.53" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.379999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.407166" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.608414" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,104.97,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,111.93,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.734535" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.948284" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,166.76,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,184.92,47.62)"> <tspan style="font-size: 12.50px; " x="32.110001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.43" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.68,63.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.39,41.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,239.14,33.89)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,254.54,49.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.54" y="1.5700001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,270.11,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,277.67,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,307.92,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,312.69,47.62)"> <tspan style="font-size: 12.50px; " x="24.82" y="-1.5700001"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.82" y="1.59"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,344.05,54.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="12.08"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,351.23,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.89" y="-0.13"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="127.0535" y="-0.13"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="133.30499" y="-0.13"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="18.7875" id="M52" style="vertical-align:-3.68167pt;width:25.4375px;" version="1.1" viewbox="0 0 25.4375 18.7875" width="25.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,60.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.87,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.0100002"> </t年代p一个n> </text> </g> </g> </svg>弗罗贝尼乌斯范数表示。有趣的是,如果任意两个子集<年代vg height="22.5" id="M53" style="vertical-align:-6.78668pt;width:93.662498px;" version="1.1" viewbox="0 0 93.662498 22.5" width="93.662498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.5)"> <g transform="translate(72,-54)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.228414" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.229855" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.83,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.06,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-13.19,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="10.38"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="10.38"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="10.38"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="11.2375" id="M54" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 11.2375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2375)"> <g transform="translate(72,-63.01)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是固定的,其余参数子集可以很容易地获得通过最小化(<一个href="#EEq8">9</一个>)。</pgydF4y2Ba> <p>首先,解决<年代vg height="10.9125" id="M55" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="11.2375" id="M56" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 11.2375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2375)"> <g transform="translate(72,-63.01)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。回想一下,<年代vg height="14.8125" id="M57" style="vertical-align:-3.13504pt;width:124.4375px;" version="1.1" viewbox="0 0 124.4375 14.8125" width="124.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.8125)"> <g transform="translate(72,-60.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.12,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-20.66,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-15.79,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,15.47,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.34,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="17.424999" id="M58" style="vertical-align:-3.13504pt;width:125.025px;" version="1.1" viewbox="0 0 125.025 17.424999" width="125.025" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.425)"> <g transform="translate(72,-58.06)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.618887" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-40.46,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.59,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.51,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-20.64,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,9.23,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.1,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,21.26,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="16.7125" id="M59" style="vertical-align:-4.74141pt;width:237.83749px;" version="1.1" viewbox="0 0 237.83749 16.7125" width="237.83749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7125)"> <g transform="translate(72,-58.63)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.07,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.29,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.370506" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.622005" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.097839" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.649174" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.064171" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.065613" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,13.95,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,18.82,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,44.64,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,49.51,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.233215" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,89.91,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,97.78,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> }</t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="17.799999" id="M60" style="vertical-align:-3.2316pt;width:213.675px;" version="1.1" viewbox="0 0 213.675 17.799999" width="213.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8)"> <g transform="translate(72,-57.76)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.79,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.54,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.904297" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.944685" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.03,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="19.096865" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-1.07,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,2.81,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.68,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 6.25px; " x="3.0572281" y="0"> −</t年代p一个n> <tspan style="font-size: 6.25px; " x="7.339848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,18.14,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.453708" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.494097" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.745598" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.959347" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.21085" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.003098" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.21685" y="0"> </t年代p一个n> </text> </g> </g> </svg>。然后(<一个href="#EEq8">9</一个>)可以写成<年代p一个ncl作为年代=”equation" id="EEq9"> <svg height="120.525" id="M61" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 120.525" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,120.525)"> <g transform="translate(72,24.42)"> <text transform="matrix(1,0,0,-1,44.56,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.902856" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.8,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.51,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,69.26,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,86.74,58.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.99"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.98"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="26.85"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.54" y="13.42"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,102.31,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,109.87,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.6,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.21,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.73,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,137.36,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,143.62,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.86,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,155.02,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,160.26,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.57,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,184.81,58.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.99"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.98"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="26.85"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.35,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="39.290001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,56.47,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.8,9.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.51,-13.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,69.26,-20.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,86.74,-6.56)"> <tspan style="font-size: 12.50px; " x="36.360001" y="-1.7763568e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> t</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> r</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.64" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.093227" y="9.7399998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,132.13,-9.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,139.69,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,155.42,9.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.03,-13.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.55,-20.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,167.18,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,173.44,-9.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.68,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,184.84,-9.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.17,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.516462" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.56,-9.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.8,-16.3)"> <tspan style="font-size: 12.50px; " x="18.610001" y="-9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,246.44,-1.39)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="8.3000002"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,258.14,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,273.88,9.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,269.49,-13.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,270,-20.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,285.64,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,290.5,-1.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.43,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,306.41,-1.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.81999999" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,313.57,-6.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.516462" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,336.34,-1.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,345.27,-16.3)"> <tspan style="font-size: 12.50px; " x="23.799999" y="-9.7399998"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.2644835" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="122.6" y="-36.959999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="126.7635" y="-36.959999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="133.015" y="-36.959999"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="139.26649" y="-36.959999"> )</t年代p一个n> </text> </g> </g> </svg></span>我们的梯度<年代vg height="13.4875" id="M62" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>关于<年代vg height="16.8375" id="M63" style="vertical-align:-4.18579pt;width:33.237499px;" version="1.1" viewbox="0 0 33.237499 16.8375" width="33.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.8375)"> <g transform="translate(72,-58.53)"> <text transform="matrix(1,0,0,-1,-71.95,62.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-64.97,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.81999999" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.9,62.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> </text> </g> </g> </svg>等于零,一个获得<年代p一个ncl作为年代=”equation" id="EEq10"> <svg height="50.662498" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.662498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.6625)"> <g transform="translate(72,-31.47)"> <text transform="matrix(1,0,0,-1,109.81,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,116.06,52.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127.07,38.08)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,139.73,63.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.34,41.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.86,34.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.49,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,157.74,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,162.98,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,169.15,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.47,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.516462" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.86,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.1,38.08)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.35" y="-9.7399998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.32,52.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,230.02,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.62,52.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.54,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,265.57,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,270.35,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,275.21,52.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,287.61,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="180.25999" y="-0.79000002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="184.42349" y="-0.79000002"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="190.675" y="-0.79000002"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="196.9265" y="-0.79000002"> )</t年代p一个n> </text> </g> </g> </svg></span>为<年代vg height="13.55" id="M65" style="vertical-align:-2.29482pt;width:115.3px;" version="1.1" viewbox="0 0 115.3 13.55" width="115.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.334438" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.535686" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.126686" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.340439" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="74.542885" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.88311" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="12.8875" id="M66" style="vertical-align:-1.76814pt;width:94.537498px;" version="1.1" viewbox="0 0 94.537498 12.8875" width="94.537498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.8875)"> <g transform="translate(72,-61.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.745598" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.997097" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.198345" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.789345" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.003098" y="0"> </t年代p一个n> </text> </g> </g> </svg>。上述方程收益率<年代p一个ncl作为年代=”equation" id="EEq11"> <svg height="46.262501" id="M67" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.2625)"> <g transform="translate(72,-34.99)"> <text transform="matrix(1,0,0,-1,106.25,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,112.5,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.42,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.33,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,147.19,61.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.893953" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.96,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.36,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.64,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.57,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,227.6,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,232.38,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,237.24,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1499996"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,246.17,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.166139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.743437" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.783825" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.035324" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.249077" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.500576" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.714329" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.292824" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.506577" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.709023" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.04925" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.30074" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-10.5" y="22.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.260043" y="22.440001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.780346" y="22.440001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.031845" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.245598" y="22.440001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.497097" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.698345" y="22.440001"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.289345" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.503098" y="22.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.03038" y="22.440001"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="221.7" y="10.86"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="225.86349" y="10.86"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="232.11501" y="10.86"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="238.3665" y="10.86"> )</t年代p一个n> </text> </g> </g> </svg></span>让<年代vg height="17.887501" id="M68" style="vertical-align:-3.13504pt;width:342.53751px;" version="1.1" viewbox="0 0 342.53751 17.887501" width="342.53751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8875)"> <g transform="translate(72,-57.69)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.8018718" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.965371" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.079338" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.718672" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.75906" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.922558" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.86,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.98,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.83,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.71,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.233215" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,52.11,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,59.98,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.277466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.440965" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,78.58,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,85.29,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.016582" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.056973" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.22047" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127.54,66.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,136.47,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.966331" y="0"> ⊕</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.269524" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.433022" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.384689" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.81,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.74,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.9,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="19.424999" id="M69" style="vertical-align:-4.74141pt;width:203.25px;" version="1.1" viewbox="0 0 203.25 19.424999" width="203.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.425)"> <g transform="translate(72,-56.46)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.115167" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.229134" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.855965" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.896355" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.059853" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.63,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-15.71,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-6.68,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-1.9,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,2.96,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.89,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.15,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.0200005"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,52.07,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.1,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,65.88,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,70.74,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.0200005"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,79.67,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,83.83,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="11.725" id="M70" style="vertical-align:-1.49226pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 11.725" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.725)"> <g transform="translate(72,-62.62)"> <text transform="matrix(1,0,0,-1,-71.95,64.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⊕</t年代p一个n> </text> </g> </g> </svg>表示阿达玛的产品。然后(<一个href="#EEq11">12</一个>矩阵形式)可以改写<年代p一个ncl作为年代=”equation" id="EEq12"> <svg height="16.5375" id="M71" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,117.32,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.229374" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.392874" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.50684" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.146172" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.186562" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.226231" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.389729" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="67.5037" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.742691" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.921333" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="98.498634" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.53902" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.79052" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.00427" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.25577" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="133.46953" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="148.04802" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="153.26178" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="163.46422" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="174.80444" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="181.05594" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="350.54999" y="0.63"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="354.7135" y="0.63"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="360.965" y="0.63"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="367.21649" y="0.63"> )</t年代p一个n> </text> </g> </g> </svg></span>因此,估计的<年代vg height="16.6" id="M72" style="vertical-align:-4.74141pt;width:40.775002px;" version="1.1" viewbox="0 0 40.775002 16.6" width="40.775002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.29,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> </g> </g> </svg>可以很容易地计算<年代p一个ncl作为年代=”equation" id="EEq13"> <svg height="46.724998" id="M73" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.724998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.725)"> <g transform="translate(72,-34.62)"> <text transform="matrix(1,0,0,-1,100.56,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,110.43,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,117.29,60.87)"> <tspan style="font-size: 12.50px; " x="140.8" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="147.99001" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.342621" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.370506" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.622005" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.097839" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.649174" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.152172" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.15361" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.055992" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.21949" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="87.333458" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="91.496956" y="0"> }</t年代p一个n> <tspan style="font-size: 12.50px; " x="100.97423" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.01462" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.26611" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.74195" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.29329" y="0"> g</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,273.62,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,284.49,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.469999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.75" y="7.1054274e-015"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0299997" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.193499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.307467" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-94.269997" y="22.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-84.692703" y="22.440001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="-72.652313" y="22.440001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="-66.40081" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-61.187061" y="22.440001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="-54.935562" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-49.734314" y="22.440001"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="-35.143314" y="22.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-29.929562" y="22.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-19.727114" y="22.440001"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="-8.3868933" y="22.440001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="-2.1353929" y="22.440001"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="183.38" y="10.68"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.5435" y="10.68"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="193.795" y="10.68"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="200.04649" y="10.68"> )</t年代p一个n> </text> </g> </g> </svg></span>其次,让<年代vg height="10.9125" id="M74" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="21.487499" id="M75" style="vertical-align:-5.97523pt;width:75.862503px;" version="1.1" viewbox="0 0 75.862503 21.487499" width="75.862503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.4875)"> <g transform="translate(72,-54.81)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="9.5699997"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="9.5699997"> 1</t年代p一个n> </text> </g> </g> </svg>是固定的。分化的<一个href="#EEq8">9</一个>)对<年代vg height="11.2375" id="M76" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 11.2375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2375)"> <g transform="translate(72,-63.01)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>收益率的估计<年代vg height="14.7375" id="M77" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 14.7375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7375)"> <g transform="translate(72,-60.21)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> </g> </g> </svg><span class="equation" id="EEq14"> <svg height="56.099998" id="M78" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 56.099998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,56.1)"> <g transform="translate(72,-27.12)"> <text transform="matrix(1,0,0,-1,75.03,48.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.03"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,75.68,53.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,88.08,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="9.7299995"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.68,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.39,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,109.14,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,124.54,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.57,50.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="8.29"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.49,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.59,49.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1199999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.6,44.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.860001" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.199982" y="9.7399998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.37,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.08,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.83,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.23,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,235.11,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,241.97,44.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,270.95,50.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,279.87,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,298.97,49.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1199999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,309.98,44.99)"> <tspan style="font-size: 12.50px; " x="17.860001" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,336.11,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,346.98,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="120.89" y="-1.46"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.0535" y="-1.46"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="131.30499" y="-1.46"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.5565" y="-1.46"> )</t年代p一个n> </text> </g> </g> </svg></span>第三修复<年代vg height="21.487499" id="M79" style="vertical-align:-5.97523pt;width:75.862503px;" version="1.1" viewbox="0 0 75.862503 21.487499" width="75.862503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.4875)"> <g transform="translate(72,-54.81)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="9.5699997"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="9.5699997"> 1</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="11.2375" id="M80" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 11.2375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2375)"> <g transform="translate(72,-63.01)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。让的梯度(<一个href="#EEq8">9</一个>)对<年代vg height="10.9125" id="M81" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>等于零,我们有<年代p一个ncl作为年代=”equation" id="EEq15"> <svg height="52.799999" id="M82" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.799999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,52.8)"> <g transform="translate(72,-29.76)"> <text transform="matrix(1,0,0,-1,114.61,63.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,114.32,41.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,115.07,33.89)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,132.55,45.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.817166" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,156.25,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,163.11,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.669619" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.022343" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.16,44.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.94,45.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.76,52.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,240.69,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.75,52.62)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1300001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,261.76,47.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.342621" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.370506" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.622005" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="206.11" y="-0.13"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="210.2735" y="-0.13"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="216.52499" y="-0.13"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="222.7765" y="-0.13"> )</t年代p一个n> </text> </g> </g> </svg></span>使估计的<年代vg height="10.9125" id="M83" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg><span class="equation" id="EEq16"> <svg height="56.099998" id="M84" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 56.099998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,56.1)"> <g transform="translate(72,-27.12)"> <text transform="matrix(1,0,0,-1,73.69,47.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.73" y="12.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.680497" y="3"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,105.98,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,105.68,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,106.44,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.84,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.87,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,135.64,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.6,50.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.52,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.59,49.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1199999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.6,44.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.860001" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.212484" y="9.7399998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.37,60.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.08,38.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.83,31.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.23,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,235.11,41.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,241.97,44.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.893953" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,275.82,50.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,284.75,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.82,49.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1199999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,305.83,44.99)"> <tspan style="font-size: 12.50px; " x="17.860001" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,331.96,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,342.83,44.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.04" y="-1.46"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="129.20351" y="-1.46"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.455" y="-1.46"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.7065" y="-1.46"> )</t年代p一个n> </text> </g> </g> </svg></span>基于上述分析,ILS算法总结如下。</pgydF4y2Ba> <p>让初始值<年代vg height="20.125" id="M85" style="vertical-align:-3.25793pt;width:132.1375px;" version="1.1" viewbox="0 0 132.1375 20.125" width="132.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.125)"> <g transform="translate(72,-55.9)"> <text transform="matrix(1,0,0,-1,-71.14,62.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.58,59.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> </text> <g> <path d="m -42.54,70.71 9.03,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,-42.54,59.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> ℂ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.19,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.2904158" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="16.086176" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="22.081297" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="26.457296" y="0"> )</t年代p一个n> <tspan style="font-size: 8.75px; " x="29.371712" y="0"> ×</t年代p一个n> <tspan style="font-size: 8.75px; " x="34.972992" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="20.1625" id="M86" style="vertical-align:-3.25793pt;width:99.650002px;" version="1.1" viewbox="0 0 99.650002 20.1625" width="99.650002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.1625)"> <g transform="translate(72,-55.87)"> <text transform="matrix(1,0,0,-1,-65.65,62.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.03"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65,56.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.65,59.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> </text> <g> <path d="m -44.61,70.71 6.95,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,-44.61,59.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ℂ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-13.34,64.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.669024" y="0"> ×</t年代p一个n> <tspan style="font-size: 8.75px; " x="12.270304" y="0"> </t年代p一个n> </text> </g> </g> </svg>的元素<年代vg height="16.0625" id="M87" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 16.0625" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.0625)"> <g transform="translate(72,-59.15)"> <g> <path d="m -71.95,70.71 9.03,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,-71.95,59.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="16.4" id="M88" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 16.4" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.4)"> <g transform="translate(72,-58.88)"> <g> <path d="m -71.95,70.71 6.95,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,-71.95,59.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>等于1。对于迭代索引<年代vg height="12.8875" id="M89" style="vertical-align:-1.76814pt;width:71.262497px;" version="1.1" viewbox="0 0 71.262497 12.8875" width="71.262497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.8875)"> <g transform="translate(72,-61.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.643654" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.857405" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.108906" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.31015" y="0"> …</t年代p一个n> </text> </g> </g> </svg>,做以下三个步骤。</pgydF4y2Ba> <p><span class="statement" id="step1"><span class="statement-title"><i class="statement-title">步骤1。</我></span>计算<年代vg height="16.6625" id="M90" style="vertical-align:-4.74141pt;width:59.8125px;" version="1.1" viewbox="0 0 59.8125 16.6625" width="59.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6625)"> <g transform="translate(72,-58.67)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.43,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.21,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq13">14</一个>)使用<年代vg height="19.887501" id="M91" style="vertical-align:-3.2316pt;width:28.4px;" version="1.1" viewbox="0 0 28.4 19.887501" width="28.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8875)"> <g transform="translate(72,-56.09)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="18.4625" id="M92" style="vertical-align:-3.2316pt;width:25.799999px;" version="1.1" viewbox="0 0 25.799999 18.4625" width="25.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.4625)"> <g transform="translate(72,-57.23)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65,57.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,因为<年代vg height="13.55" id="M93" style="vertical-align:-2.29482pt;width:115.3px;" version="1.1" viewbox="0 0 115.3 13.55" width="115.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.334438" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.535686" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.126686" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.340439" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="74.542885" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.88311" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>。</年代p一个n></p> <p><span class="statement" id="step2"><span class="statement-title"><i class="statement-title">步骤2。</我></span>计算<年代vg height="18.4625" id="M94" style="vertical-align:-3.2316pt;width:12.8375px;" version="1.1" viewbox="0 0 12.8375 18.4625" width="12.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.4625)"> <g transform="translate(72,-57.23)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65,57.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq14">15</一个>)使用<年代vg height="22.5" id="M95" style="vertical-align:-6.78668pt;width:79.887497px;" version="1.1" viewbox="0 0 79.887497 22.5" width="79.887497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.5)"> <g transform="translate(72,-54)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.43,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.21,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.2,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="10.38"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="10.38"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="10.38"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="19.887501" id="M96" style="vertical-align:-3.2316pt;width:28.4px;" version="1.1" viewbox="0 0 28.4 19.887501" width="28.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8875)"> <g transform="translate(72,-56.09)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>。</年代p一个n></p> <p><span class="statement" id="step3"><span class="statement-title"><i class="statement-title">步骤3。</我></span>计算<年代vg height="19.887501" id="M97" style="vertical-align:-3.2316pt;width:15.4375px;" version="1.1" viewbox="0 0 15.4375 19.887501" width="15.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8875)"> <g transform="translate(72,-56.09)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq16">17</一个>)使用<年代vg height="18.4625" id="M98" style="vertical-align:-3.2316pt;width:12.8375px;" version="1.1" viewbox="0 0 12.8375 18.4625" width="12.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.4625)"> <g transform="translate(72,-57.23)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65,57.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="22.5" id="M99" style="vertical-align:-6.78668pt;width:79.887497px;" version="1.1" viewbox="0 0 79.887497 22.5" width="79.887497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.5)"> <g transform="translate(72,-54)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.43,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.21,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.2,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="10.38"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="10.38"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="10.38"> 1</t年代p一个n> </text> </g> </g> </svg>。</年代p一个n></p> <p> <svg height="23.725" id="M100" style="vertical-align:-3.6705pt;width:113.925px;" version="1.1" viewbox="0 0 113.925 23.725" width="113.925" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,23.725)"> <g transform="translate(72,-53.02)"> <text transform="matrix(1,0,0,-1,-71.95,56.73)"> <tspan style="font-size: 12.50px; " x="29.15" y="-3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.34" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7523403" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.792728" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-34.58,53.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-28.59,56.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.16" y="-3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.35" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-8.22,53.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.38,56.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.92,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="12.96"> </t年代p一个n> </text> </g> </g> </svg>用一个阈值<年代vg height="13.55" id="M101" style="vertical-align:-2.29482pt;width:80.037498px;" version="1.1" viewbox="0 0 80.037498 13.55" width="80.037498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.0264459" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.189945" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.917278" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.957668" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.47245" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.51284" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.764339" y="0"> )</t年代p一个n> </text> </g> </g> </svg>;如果<年代vg height="14.5875" id="M102" style="vertical-align:-3.2316pt;width:38.325001px;" version="1.1" viewbox="0 0 38.325001 14.5875" width="38.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-66.16,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.47,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> </g> </g> </svg>,然后停止;否则,去一步<一个href="#step1">1</一个>。</pgydF4y2Ba> <p>迭代最小二乘算法的基本思想是最小化代价函数<年代vg height="15.3" id="M103" style="vertical-align:-3.49493pt;width:179px;" version="1.1" viewbox="0 0 179 15.3" width="179" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.3)"> <g transform="translate(72,-59.76)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.129829" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.331078" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.73,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.86,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.068035" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.659035" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.872787" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,20.89,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,36.96,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.068035" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.019703" y="0"> )</t年代p一个n> </text> </g> </g> </svg>关于<年代vg height="10.9125" id="M104" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="21.487499" id="M105" style="vertical-align:-5.97523pt;width:75.862503px;" version="1.1" viewbox="0 0 75.862503 21.487499" width="75.862503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.4875)"> <g transform="translate(72,-54.81)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="9.5699997"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="9.5699997"> 1</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="11.2375" id="M106" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 11.2375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2375)"> <g transform="translate(72,-63.01)"> <text transform="matrix(1,0,0,-1,-71.95,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>通过使用循环最小化(CM)技术(<一个href="#B16">16</一个>),单调减少成本函数。此外,我们知道<年代vg height="25.775" id="M107" style="vertical-align:-5.75708pt;width:185.14999px;" version="1.1" viewbox="0 0 185.14999 25.775" width="185.14999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,25.775)"> <g transform="translate(72,-51.38)"> <text transform="matrix(1,0,0,-1,-71.95,57.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∑</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.52,63.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.9300003"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="9.9300003"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="9.9300003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-42.37,57.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.8,54.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.25,57.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11,54.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,15.78,57.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.818455" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,47.14,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="14.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,57.79,57.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。因此,该算法是收敛的,只需要20迭代达到收敛的迭代算法(也见图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig2/" target="_blank">2</一个>)。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.002" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.002.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 算法的收敛性能。</t一个ble> </div> </div> </div> <p>我们获得估计矩阵<年代vg height="19.775" id="M108" style="vertical-align:-3.13504pt;width:71.650002px;" version="1.1" viewbox="0 0 71.650002 19.775" width="71.650002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.680497" y="3"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.720886" y="3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.748051" y="3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.500393" y="3"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.61,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="19.3375" id="M109" style="vertical-align:-3.13504pt;width:72.925003px;" version="1.1" viewbox="0 0 72.925003 19.3375" width="72.925003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.3375)"> <g transform="translate(72,-56.53)"> <text transform="matrix(1,0,0,-1,-70.68,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.27" y="2.6500001"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.73312" y="2.6500001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.773508" y="2.6500001"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.313297" y="2.6500001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.065639" y="2.6500001"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.58,56.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="18.5" id="M110" style="vertical-align:-3.25793pt;width:66.462502px;" version="1.1" viewbox="0 0 66.462502 18.5" width="66.462502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.5)"> <g transform="translate(72,-57.2)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1149988" y="3.02"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.155388" y="3.02"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.107056" y="3.02"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.859398" y="3.02"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.76,57.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="10.6875" id="M111" style="vertical-align:-0.0pt;width:12.3125px;" version="1.1" viewbox="0 0 12.3125 10.6875" width="12.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是一个置换矩阵和<年代vg height="14.725" id="M112" style="vertical-align:-3.25793pt;width:65.275002px;" version="1.1" viewbox="0 0 65.275002 14.725" width="65.275002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.05,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.81,60.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.94,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.7,60.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> </g> </g> </svg>站对角矩阵满足的扩展<年代vg height="14.75" id="M113" style="vertical-align:-3.25793pt;width:87.5625px;" version="1.1" viewbox="0 0 87.5625 14.75" width="87.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.05,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.15,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.12,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.77,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。也就是说,<年代vg height="9.9250002" id="M114" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>th列<年代vg height="15.8625" id="M115" style="vertical-align:-0.17555pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 15.8625" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.8625)"> <g transform="translate(72,-59.31)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> </g> </g> </svg>对应于<年代vg height="9.9250002" id="M116" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>th列<年代vg height="15.425" id="M117" style="vertical-align:-0.17555pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 15.425" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.425)"> <g transform="translate(72,-59.66)"> <text transform="matrix(1,0,0,-1,-70.68,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.27" y="2.6500001"> Φ</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="14.7375" id="M118" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 14.7375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7375)"> <g transform="translate(72,-60.21)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> </g> </g> </svg>。所以我们的算法可以估计2 d-doa和频率估计没有额外的配对。</pgydF4y2Ba> <h5 id="sec3.2">3.2。频率和2 d-doa估计</gydF4y2Bah5> <p>我们使用迭代最小二乘方法来实现方向矩阵<年代vg height="10.9125" id="M119" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和延迟矩阵<年代vg height="10.475" id="M120" style="vertical-align:-0.0pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 10.475" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.475)"> <g transform="translate(72,-63.62)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> </g> </g> </svg>,然后角度和频率估计根据最小二乘原理和范德蒙特点。定义延迟向量<年代vg height="14.7125" id="M121" style="vertical-align:-3.2316pt;width:31.049999px;" version="1.1" viewbox="0 0 31.049999 14.7125" width="31.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.38,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>作为<年代vg height="20.8375" id="M122" style="vertical-align:-3.2316pt;width:232.8625px;" version="1.1" viewbox="0 0 232.8625 20.8375" width="232.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.8375)"> <g transform="translate(72,-55.33)"> <text transform="matrix(1,0,0,-1,-71.95,58.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.6,55.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.38,58.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.295967" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-10.51,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.7805281" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="13.092992" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,7.45,61.41)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,9.89,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,13.76,61.41)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.88,58.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,48.45,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.7805281" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="13.092992" y="0"> (</t年代p一个n> <tspan style="font-size: 8.75px; " x="16.007408" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="24.803167" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="30.798288" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="35.17429" y="0"> )</t年代p一个n> <tspan style="font-size: 8.75px; " x="38.088703" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,91.41,61.41)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,93.85,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,97.72,61.41)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,103.36,58.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,107.53,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。<年代vg height="14.7125" id="M123" style="vertical-align:-3.2316pt;width:31.049999px;" version="1.1" viewbox="0 0 31.049999 14.7125" width="31.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.38,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是<年代vg height="9.9250002" id="M124" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>延迟的th列矩阵。我们得到了<年代vg height="19.637501" id="M125" style="vertical-align:-4.74141pt;width:324.625px;" version="1.1" viewbox="0 0 324.625 19.637501" width="324.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.6375)"> <g transform="translate(72,-56.29)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.00672" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.258221" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.497215" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.973049" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.524384" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.687881" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.939381" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.102882" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-0.91,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,2.31,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.790329" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.994217" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.245716" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.698463" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.300289" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,62.56,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,65.78,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,71.31,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,76.18,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.2575" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.859325" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.98,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.2,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.504681" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.8449" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.259899" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,171.99,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.77,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.94,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,角(·)阶段复数的一部分。估计频率向量<年代vg height="15.025" id="M126" style="vertical-align:-3.2316pt;width:31.049999px;" version="1.1" viewbox="0 0 31.049999 15.025" width="31.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.025)"> <g transform="translate(72,-59.98)"> <text transform="matrix(1,0,0,-1,-66.07,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-5.8800001" y="0.27000001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0.37149999" y="0.27000001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.5349989" y="0.27000001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.6,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.38,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>(<年代vg height="9.9250002" id="M127" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>估计延迟的th列矩阵<年代vg height="10.475" id="M128" style="vertical-align:-0.0pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 10.475" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.475)"> <g transform="translate(72,-63.62)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> </g> </g> </svg>通过归一化)处理,这也解决了歧义,然后归一化处理达到序列<年代vg height="14.1875" id="M129" style="vertical-align:-0.17555pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 14.1875" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1875)"> <g transform="translate(72,-60.65)"> <text transform="matrix(1,0,0,-1,-67.45,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-4.5" y="2.8199999"> </t年代p一个n> </text> </g> </g> </svg>根据以上处理。最后,我们使用leaset二乘原理估计<年代vg height="14.5875" id="M130" style="vertical-align:-3.2316pt;width:12.825px;" version="1.1" viewbox="0 0 12.825 14.5875" width="12.825" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.01,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。最小二乘拟合是<年代vg height="14.4875" id="M131" style="vertical-align:-0.23827pt;width:49.037498px;" version="1.1" viewbox="0 0 49.037498 14.4875" width="49.037498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,60.7)"> <tspan style="font-size: 12.50px; " x="36.68" y="-2.8199999"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.18" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.129829" y="0"> =</t年代p一个n> </text> </g> </g> </svg>,在那里<年代p一个ncl作为年代=”equation" id="eq18"> <svg height="125.15" id="M132" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 125.15" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,125.15)"> <g transform="translate(72,28.12)"> <text transform="matrix(1,0,0,-1,103.22,18.81)"> <tspan style="font-size: 12.50px; " x="23.15" y="-38.080002"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="-26.290001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="-14.5"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="-2.71"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="9.0799999"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="20.870001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="32.669998"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.15" y="44.389999"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.57" y="-35.639999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.57" y="-10.63"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.76" y="14.38"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.57" y="39.380001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="86.370003" y="-35.639999"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.370003" y="-10.63"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.621498" y="-10.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.210823" y="-10.63"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.96,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,187.78,4.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="-30.98" y="25"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="-24.7285" y="25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-15.051178" y="25"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-10.887679" y="25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.4535022" y="25"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.806226" y="25"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.057726" y="25"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.296722" y="25"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.61,-23.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.61,56.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="11.79"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="23.58"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="35.369999"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="47.16"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="58.950001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="70.739998"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="82.470001"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.389999" y="24.99"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.389999" y="35.84"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.389999" y="46.689999"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.389999" y="57.48"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="63.060001" y="27.450001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.71" y="38.080002"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.84103" y="38.080002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.344028" y="38.080002"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.86,26.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.62,4.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,301.56,1.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,304.78,31.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.700001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.490002"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.71" y="13.09"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="163.09" y="13.09"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.25349" y="13.09"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="173.505" y="13.09"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="179.7565" y="13.09"> )</t年代p一个n> </text> </g> </g> </svg></span>的最小二乘解<年代vg height="11.225" id="M133" style="vertical-align:-0.23827pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 11.225" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.225)"> <g transform="translate(72,-63.02)"> <text transform="matrix(1,0,0,-1,-71.95,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是<年代p一个ncl作为年代=”equation" id="EEq17"> <svg height="22.725" id="M134" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 22.725" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.725)"> <g transform="translate(72,-53.82)"> <text transform="matrix(1,0,0,-1,163.75,61.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.440001" y="5.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.290001" y="3.01"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.1" y="3.01"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.390497" y="3.01"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,200.68,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,207.39,58.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6399999" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,220.88,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.75,58.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,239.39,63.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.61,61.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-4.5" y="2.8299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="2.451668" y="2.8299999"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="217.25999" y="1.48"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="221.42349" y="1.48"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="227.675" y="1.48"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="233.9265" y="1.48"> )</t年代p一个n> </text> </g> </g> </svg></span>自<年代vg height="16.8125" id="M135" style="vertical-align:-4.74141pt;width:41.887501px;" version="1.1" viewbox="0 0 41.887501 16.8125" width="41.887501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.8125)"> <g transform="translate(72,-58.55)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.61,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.37,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,延迟矩阵<年代vg height="10.475" id="M136" style="vertical-align:-0.0pt;width:12.05px;" version="1.1" viewbox="0 0 12.05 10.475" width="12.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.475)"> <g transform="translate(72,-63.62)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代p一个n> </text> </g> </g> </svg>与范德蒙特点,方向矩阵<年代vg height="10.9125" id="M137" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>quasi-Vandermonde结构,所以我们可以用相同的方法与频率估计方法来估计到达角。估计接收阵列控制向量<年代vg height="15.05" id="M138" style="vertical-align:-3.2316pt;width:77.349998px;" version="1.1" viewbox="0 0 77.349998 15.05" width="77.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-65.87,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.0799999" y="0.28"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0.1715" y="0.28"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.3349991" y="0.28"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.48,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.24,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.97,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.73,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.58,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.34,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>(<我>k</我>估计的th列矩阵<年代vg height="15.8625" id="M139" style="vertical-align:-0.17555pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 15.8625" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.8625)"> <g transform="translate(72,-59.31)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> </g> </g> </svg>通过归一化)处理,这也解决了歧义,然后方向估计矩阵分为两个子矩阵,第一个<年代vg height="10.325" id="M140" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>行形式余子式<年代vg height="19.775" id="M141" style="vertical-align:-3.13504pt;width:17.5px;" version="1.1" viewbox="0 0 17.5 19.775" width="17.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>最后,<年代vg height="10.6875" id="M142" style="vertical-align:-0.0pt;width:41.299999px;" version="1.1" viewbox="0 0 41.299999 10.6875" width="41.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.341181" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.681402" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>行形式子矩阵<年代vg height="19.775" id="M143" style="vertical-align:-3.13504pt;width:17.5px;" version="1.1" viewbox="0 0 17.5 19.775" width="17.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>,<我>k</我>子矩阵的列<年代vg height="19.775" id="M144" style="vertical-align:-3.13504pt;width:17.5px;" version="1.1" viewbox="0 0 17.5 19.775" width="17.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="19.775" id="M145" style="vertical-align:-3.13504pt;width:17.5px;" version="1.1" viewbox="0 0 17.5 19.775" width="17.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>是<年代vg height="15.05" id="M146" style="vertical-align:-3.2316pt;width:83.4375px;" version="1.1" viewbox="0 0 83.4375 15.05" width="83.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-65.87,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.0799999" y="0.28"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.82,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.61,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.37,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.09,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.85,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.7,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.46,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="15.05" id="M147" style="vertical-align:-3.2316pt;width:83.4375px;" version="1.1" viewbox="0 0 83.4375 15.05" width="83.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-65.87,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.0799999" y="0.28"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.82,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.61,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.37,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.09,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.85,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.7,60.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-9.46,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,分别。然后标准化序列处理来实现<年代vg height="14.9125" id="M148" style="vertical-align:-3.13504pt;width:34.450001px;" version="1.1" viewbox="0 0 34.450001 14.9125" width="34.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9125)"> <g transform="translate(72,-60.07)"> <text transform="matrix(1,0,0,-1,-66.07,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-5.8800001" y="0.27000001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.82,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.08" y="-0.27000001"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.21" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.36,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg><span class="equation" id="EEq18"> <svg height="359.875" id="M149" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 359.875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,359.875)"> <g transform="translate(72,215.9)"> <text transform="matrix(1,0,0,-1,117.83,61.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-5.8800001" y="0.28"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.2,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.55,61.13)"> <tspan style="font-size: 12.50px; " x="49.740002" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="61.669998" y="-0.28999999"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.59" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.592442" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.143772" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.395271" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.63427" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.110104" y="0"> e</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.4,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.35,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,207.26,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,212.5,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.77,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.02,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,243.16,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.41,58.62)"> <tspan style="font-size: 12.50px; " x="-121.86" y="29.52"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="-109.82" y="36.849998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8514042" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-103.47" y="29.52"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="-97.218498" y="29.52"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " 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12.50px; " x="13.3" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.501247" y="-8.75"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.092251" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.66" y="-17.99"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.001183" y="-17.99"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.3414" y="-17.99"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.592903" y="-17.99"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.844398" y="-17.99"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.058395" y="-17.99"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.43,-197.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 191.93,-200.47 61.74,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text 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transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.340461" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.38085" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.632351" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.234173" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.723949" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.58762" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.063454" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.478455" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,0.59,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,7.91,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,36.81,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.825" id="M151" style="vertical-align:-3.2316pt;width:136.7px;" version="1.1" viewbox="0 0 136.7 14.825" width="136.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.969212" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.060814" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.92448" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.400314" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="63.815311" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-2.08,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.25,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,32.07,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。最小二乘拟合是<年代vg height="14.9125" id="M152" style="vertical-align:-3.13504pt;width:66.4375px;" version="1.1" viewbox="0 0 66.4375 14.9125" width="66.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9125)"> <g transform="translate(72,-60.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-64.31,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.44,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.41,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-42.06,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.91" y="-0.27000001"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.77,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,在那里<年代p一个ncl作为年代=”equation" id="eq21"> <svg height="138.75" id="M153" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 138.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,138.75)"> <g transform="translate(72,39)"> <text transform="matrix(1,0,0,-1,108.73,13.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,116.37,10.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,124.71,13.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-43.509998"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-31.84"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-20.16"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-8.4799995"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="3.1900001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="14.87"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="26.540001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="38.220001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="49.830002"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.469999" y="-12.01"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.099998" y="-23.969999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="56.380001" y="-21.25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.469999" y="-41.07"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.079742" y="-41.07"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,189.53,31.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 181.09,28.52 13.68,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,185.02,16.64)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-40.84" y="46.700001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.459999" y="34.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.74" y="37.459999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-42.639999" y="17.639999"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="-2.030256" y="17.639999"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="-25.610001" y="37.450001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-21.446501" y="37.450001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.10532" y="37.450001"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.234901" y="37.450001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.486401" y="37.450001"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,211.2,-23.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 159.41,-26.93 57.03,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,185.02,-38.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-95.699997"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-84.029999"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-72.349998"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-60.669998"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-49"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-37.32"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-25.65"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-13.97"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-2.3599999"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.330002" y="-52.189999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.461029" y="-52.189999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.51,10.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,267.86,13.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-13.08"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-2.23"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="8.6199999"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="19.4"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.66" y="-10.62"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.4,20.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,289.45,-1)"> <tspan style="font-size: 12.50px; " x="9.8199997" y="-27.459999"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8199997" y="-16.610001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8199997" y="-5.7600002"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8199997" y="5.02"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.487857" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.530001" y="-14.38"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="178.42" y="-14.38"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="182.5835" y="-14.38"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="188.83499" y="-14.38"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="195.0865" y="-14.38"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="19.549999" id="M154" style="vertical-align:-3.2316pt;width:17.225px;" version="1.1" viewbox="0 0 17.225 19.549999" width="17.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.55)"> <g transform="translate(72,-56.36)"> <text transform="matrix(1,0,0,-1,-71.23,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.72000003" y="2.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.51,56.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>通过(估计频率<一个href="#EEq17">19</一个>),<年代vg height="12.2375" id="M155" style="vertical-align:-0.17555pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 12.2375" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.2375)"> <g transform="translate(72,-62.21)"> <text transform="matrix(1,0,0,-1,-70.46,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.487857" y="0"> </t年代p一个n> </text> </g> </g> </svg>估计的价值吗<年代vg height="14.825" id="M156" style="vertical-align:-3.2316pt;width:112.15px;" version="1.1" viewbox="0 0 112.15 14.825" width="112.15" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.840821" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.330599" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.194265" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.670099" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.085098" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.8,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.48,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,12.42,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。LS的解决方案<年代vg height="7.1374998" id="M157" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是<年代p一个ncl作为年代=”equation" id="EEq20"> <svg height="62.637501" id="M158" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 62.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,62.6375)"> <g transform="translate(72,-21.89)"> <text transform="matrix(1,0,0,-1,150.14,56.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.690001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.48"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.6300001" y="2.45"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,164.64,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.69,29.44)"> <tspan style="font-size: 12.50px; " x="9.8299999" y="-27.459999"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8299999" y="-16.610001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8299999" y="-5.77"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8299999" y="5.02"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.93" y="-14.38"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.959999" y="-11.87"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.82" y="-14.38"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.475354" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.15,48.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,210.86,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.5,40.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,223.37,41.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,229.22,51.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,240.09,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.73,48.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.32,44.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-5.8800001" y="0.27000001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.7,40.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,265.57,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="202.3" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="206.4635" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="212.715" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="218.96649" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>同样的,<年代vg height="14.9125" id="M159" style="vertical-align:-3.13504pt;width:66.4375px;" version="1.1" viewbox="0 0 66.4375 14.9125" width="66.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9125)"> <g transform="translate(72,-60.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-64.31,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.44,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-50.41,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-42.06,63.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.91" y="-0.27000001"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.77,60.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>,在那里<年代p一个ncl作为年代=”equation" id="eq23"> <svg height="145.53751" id="M160" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 145.53751" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,145.5375)"> <g transform="translate(72,44.43)"> <text transform="matrix(1,0,0,-1,110.06,10.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,117.7,7.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.04,10.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-46.23"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-35.25"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-24.27"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-13.29"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-2.3"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="8.6800003"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="19.66"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="30.65"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="41.630001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="52.549999"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.469999" y="-39.740002"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.099998" y="-51.700001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="56.380001" y="-48.970001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,190.86,56.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 182.42,53.52 13.68,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,186.35,41.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-40.84" y="21.690001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="-7.0599999" y="12.46"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.090000004" y="9.7299995"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="12.46"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,193.98,26.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 179.29,23.08 19.94,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,186.35,11.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-40.84" y="46.689999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.459999" y="34.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.74" y="37.450001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-42.639999" y="17.639999"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="-2.030256" y="17.639999"> ⋮</t年代p一个n> <tspan style="font-size: 12.50px; " x="-25.610001" y="37.450001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-21.446501" y="37.450001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.10532" y="37.450001"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.234901" y="37.450001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.486401" y="37.450001"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,212.53,-29.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 160.74,-32.36 57.03,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,186.35,-44.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-101.13"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-90.150002"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-79.169998"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-68.190002"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-57.200001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-46.220001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-35.240002"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-24.25"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-13.27"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.619999" y="-2.3499999"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.330002" y="-54.900002"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.461029" y="-54.900002"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.84,7.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,269.19,10.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-13.08"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="-2.24"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="8.6099997"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.04" y="19.4"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.66" y="-10.63"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,293.07,18.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.99,-3.72)"> <tspan style="font-size: 12.50px; " x="1.95" y="-27.459999"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="-16.620001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="-5.77"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="5.02"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.689105" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6599998" y="-14.38"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="171.88" y="-14.38"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="176.0435" y="-14.38"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="182.295" y="-14.38"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="188.54649" y="-14.38"> )</t年代p一个n> </text> </g> </g> </svg></span>在这<年代vg height="10.7875" id="M161" style="vertical-align:-0.17555pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 10.7875" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7875)"> <g transform="translate(72,-63.37)"> <text transform="matrix(1,0,0,-1,-65.25,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.689105" y="0"> </t年代p一个n> </text> </g> </g> </svg>估计的价值吗<年代vg height="14.825" id="M162" style="vertical-align:-3.2316pt;width:109.55px;" version="1.1" viewbox="0 0 109.55 14.825" width="109.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.840821" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.330599" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.194265" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.670099" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.085098" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.79,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.46,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,10.35,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。LS的解决方案<年代vg height="7.1374998" id="M163" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是<年代p一个ncl作为年代=”equation" id="EEq21"> <svg height="62.637501" id="M164" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 62.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,62.6375)"> <g transform="translate(72,-21.89)"> <text transform="matrix(1,0,0,-1,151.47,56.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎡</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="10.85"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="21.690001"> ⎢</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="32.48"> ⎣</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.6300001" y="2.45"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,163.31,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,166.24,29.44)"> <tspan style="font-size: 12.50px; " x="1.95" y="-27.459999"> ⎤</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="-16.610001"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="-5.77"> ⎥</t年代p一个n> <tspan style="font-size: 12.50px; " x="1.95" y="5.02"> ⎦</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.05" y="-14.38"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.08" y="-11.87"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.93" y="-14.38"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.7016082" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.81,48.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.53,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.17,40.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,222.04,41.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,227.89,51.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.76,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,246.4,48.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,258.99,44.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-5.8800001" y="0.27000001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.36,40.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.24,43.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="203.63" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="207.7935" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="214.045" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="220.29649" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>2 d-doas估计通过<年代p一个ncl作为年代=”equation" id="EEq22"> <svg height="91.074997" id="M165" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 91.074997" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,91.075)"> <g transform="translate(72,0.86)"> <text transform="matrix(1,0,0,-1,149.97,52.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.1500001" y="2.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,150.37,46.26)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,157.06,49.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.37989" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.69,54.39)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.65,39.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.29" y="-19.299999"> √</t年代p一个n> </text> <g> <path d="m 219.55,70.71 38.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,221.03,56.64)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.475354" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,228.42,62.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,236.08,56.64)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.029325" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,253.63,61.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <g> <path d="m 207.94,52.52 50.57,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,222.6,40.64)"> <tspan style="font-size: 12.50px; " x="37.099998" y="0.98000002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.290001" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-55.950001" y="29.27"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-56.48" y="31.99"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.840821" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.18,5.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.88,8.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> t</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.180082" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,208.32,13.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.27,3.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.59" y="-12.17"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.9008951" y="-12.17"> </t年代p一个n> </text> <g> <path d="m 229.83,11.77 8.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,231.32,-0.71)"> <tspan style="font-size: 12.50px; " x="8.5799999" y="-4.4400001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.27" y="-9.3599997"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-1.487857" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="236.55" y="-33.16"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="240.7135" y="-33.16"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="246.965" y="-33.16"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="253.21649" y="-33.16"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <h5 id="sec3.3">3.3。复杂性分析和CRB</gydF4y2Bah5> <p>相比之下ESPRIT算法(<一个href="#B11">11</一个>在[]和点算法<一个href="#B13">13</一个>),我们的算法具有更重的计算负荷,在我们的方法中,计算<年代vg height="21.487499" id="M166" style="vertical-align:-5.97523pt;width:75.862503px;" version="1.1" viewbox="0 0 75.862503 21.487499" width="75.862503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.4875)"> <g transform="translate(72,-54.81)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.07,57.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.29,60.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> Φ</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="5.198688" y="0"> +</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.193808" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2797279" y="9.5699997"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.274848" y="9.5699997"> 1</t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq13">14</一个>)的复杂性<年代vg height="16.5375" id="M167" style="vertical-align:-2.21957pt;width:261.89999px;" version="1.1" viewbox="0 0 261.89999 16.5375" width="261.89999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.479195" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.681643" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.021862" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.273361" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.436863" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.600361" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.85186" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.417374" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,18.65,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.980274" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,51.16,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,58.82,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,80.69,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,88.34,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.797291" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.960789" y="0"> )</t年代p一个n> </text> </g> </g> </svg>计算的复杂性<年代vg height="14.7375" id="M168" style="vertical-align:-0.23827pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 14.7375" width="8.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7375)"> <g transform="translate(72,-60.21)"> <text transform="matrix(1,0,0,-1,-65.65,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代p一个n> <tspan style="font-size: 12.50px; " x="-6.3000002" y="3.02"> </t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq14">15</一个>)是<年代vg height="16.5375" id="M169" style="vertical-align:-2.21957pt;width:453.9375px;" version="1.1" viewbox="0 0 453.9375 16.5375" width="453.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.479195" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.681643" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.021862" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.273361" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.436863" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.600361" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.763859" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.015358" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="79.356544" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="90.696762" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.948265" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.11176" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.75182" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="124.06727" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.40749" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="146.04755" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,84.63,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,92.28,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,120.41,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.28,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.75618" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.3479" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.511398" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.450565" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.790787" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.954285" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="80.169235" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="91.50946" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="97.760956" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.92445" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,237.74,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.39,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.980274" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,277.9,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.77,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> )</t年代p一个n> </text> </g> </g> </svg>;计算的复杂性<年代vg height="15.8625" id="M170" style="vertical-align:-0.17555pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 15.8625" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.8625)"> <g transform="translate(72,-59.31)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> </g> </g> </svg>在(<一个href="#EEq16">17</一个>)是<年代vg height="16.5375" id="M171" style="vertical-align:-2.21957pt;width:486.57501px;" version="1.1" viewbox="0 0 486.57501 16.5375" width="486.57501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.479195" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.681643" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.021862" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.273361" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.436863" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.600361" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.763859" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.015358" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="79.356544" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="90.696762" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.948265" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.11176" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.75182" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="124.06727" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.40749" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.659" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="152.29904" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,90.88,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,98.53,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.449123" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.700626" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.864124" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,167.92,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,175.58,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.45,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.32,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.13,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.79,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.491217" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.742718" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.85162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,308.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,313.05,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。因此,每个迭代的ILS算法复杂性<年代vg height="16.5375" id="M172" style="vertical-align:-2.21957pt;width:598.04999px;" version="1.1" viewbox="0 0 598.04999 16.5375" width="598.04999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.479195" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.681643" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.021862" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.273361" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.436863" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.600361" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.85186" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.015358" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.266861" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.60804" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.948265" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.19976" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.36326" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="118.00331" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="130.31877" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.659" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="147.91049" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="158.55054" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,97.13,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,104.79,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.491217" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.742718" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.85162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.83,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.579218" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.95,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.797291" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.736454" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.076675" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.328178" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,293.47,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,301.12,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.184402" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.524624" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.940342" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.280563" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.532066" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.695564" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,397.35,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,402.23,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>;当ILS算法收敛在20步,总该算法的计算复杂度<年代vg height="16.5375" id="M173" style="vertical-align:-2.21957pt;width:621.48749px;" version="1.1" viewbox="0 0 621.48749 16.5375" width="621.48749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.567196" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.818695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.982195" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.145695" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.348141" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.688362" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.939861" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.103363" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.266861" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.518356" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.681862" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.27454" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.61476" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.86626" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="124.02976" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="134.66982" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="146.98528" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="158.32549" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="164.577" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="175.21704" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,113.8,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.45,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.85162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,190.84,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.49,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.62,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.27,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.797291" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.736454" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.076675" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.328178" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,310.13,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,317.79,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.491217" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.742718" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="61.852341" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.192558" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.444061" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.607559" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,411.94,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,416.81,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和ESPRIT算法(<一个href="#B11">11</一个>)需要<年代vg height="16.75" id="M174" style="vertical-align:-2.21957pt;width:533.01251px;" version="1.1" viewbox="0 0 533.01251 16.75" width="533.01251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.479195" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.730694" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.071877" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.663597" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-11.12,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-6.24,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.365947" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.706167" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.957668" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,29.88,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,34.76,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.415719" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.755939" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.919439" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.17094" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.512119" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.852341" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.103844" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,107.04,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,111.91,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.365947" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.706167" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.957668" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.04,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,155.69,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.85162" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.278404" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,232.51,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,240.16,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.096401" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.436623" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.85162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,309.55,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,317.2,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,345.32,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,350.2,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,点算法(<一个href="#B13">13</一个>)需要<年代vg height="16.5375" id="M175" style="vertical-align:-2.21957pt;width:362.28751px;" version="1.1" viewbox="0 0 362.28751 16.5375" width="362.28751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.1521959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.315695" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="33.483032" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.646534" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.810032" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.061531" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.402714" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.742935" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.994431" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.157936" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.321434" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="99.52388" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.8641" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="117.1156" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="124.06727" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.40749" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="144.93477" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="151.87395" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="163.21416" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.37766" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="173.62917" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="188.98285" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="200.32306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="212.62602" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="223.96623" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="230.21774" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="234.38124" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.97,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.62,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,208.74,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.62,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>根据(<一个href="#B17">17</一个>),我们推导出CRB 2 d-doa与l型阵列和频率估计<年代p一个ncl作为年代=”equation" id="EEq24"> <svg height="33.775002" id="M176" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 33.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,33.775)"> <g transform="translate(72,-44.98)"> <text transform="matrix(1,0,0,-1,109.81,53.78)"> <tspan style="font-size: 12.50px; " x="44.630001" y="-7.25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> C</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> R</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.679003" y="0"> B</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.481834" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.78,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <g> <path d="m 151.53,56.91 18.02,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,151.53,45.03)"> <tspan style="font-size: 12.50px; " x="19.219999" y="-6.2399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.459999" y="-6.2399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.41" y="-8.75"> R</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.7495" y="-8.75"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.25" y="-8.75"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.413498" y="-8.75"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.97,58.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,222.9,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,232.65,58.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ⟂</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1400003"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,239.43,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.953828" y="0"> ⊕</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.269524" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,276.34,58.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.05,51.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.7886491" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.03,61.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,305.9,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="161.97" y="-1.58"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="166.1335" y="-1.58"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="172.38499" y="-1.58"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="178.63651" y="-1.58"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="11.725" id="M177" style="vertical-align:-1.49226pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 11.725" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.725)"> <g transform="translate(72,-62.62)"> <text transform="matrix(1,0,0,-1,-71.95,64.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⊕</t年代p一个n> </text> </g> </g> </svg>代表阿达玛的产品。<年代vg height="18.9375" id="M178" style="vertical-align:-3.98012pt;width:155.35001px;" version="1.1" viewbox="0 0 155.35001 18.9375" width="155.35001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.9375)"> <g transform="translate(72,-56.85)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.2,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ⟂</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.1300001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.047108" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,1.29,66.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,10.22,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.41,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,34.28,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.3,66.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="19.775" id="M179" style="vertical-align:-3.78203pt;width:169.4875px;" version="1.1" viewbox="0 0 169.4875 19.775" width="169.4875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.775)"> <g transform="translate(72,-56.18)"> <text transform="matrix(1,0,0,-1,-71.95,60)"> <tspan style="font-size: 12.50px; " x="53.93" y="0.02"> ∑</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.306553" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.558052" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.033886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.673939" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-6.59,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.9399996"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.344864" y="9.9399996"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,10.71,60)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.65,56.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,28.5,60)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,37.53,65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,46.45,60)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,54.53,56.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,59.38,60)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.8375" id="M180" style="vertical-align:-3.13504pt;width:298.72501px;" version="1.1" viewbox="0 0 298.72501 14.8375" width="298.72501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.8375)"> <g transform="translate(72,-60.13)"> <text transform="matrix(1,0,0,-1,-71.95,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.3,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.42,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.26,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.39,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.57,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,25.44,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,34.81,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.69,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,49.06,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,53.93,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,83.1,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,90.97,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,102.43,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,107.31,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.77,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,123.64,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.9,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,162.77,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.7125" id="M181" style="vertical-align:-3.2316pt;width:86.074997px;" version="1.1" viewbox="0 0 86.074997 14.7125" width="86.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.28,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.41692" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8523636" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-8.43,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.95" id="M182" style="vertical-align:-3.2316pt;width:80.074997px;" version="1.1" viewbox="0 0 80.074997 14.95" width="80.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.95)"> <g transform="translate(72,-60.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-67.79,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.07,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.41692" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-34.39,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.15,63.31)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8523636" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-13.24,60.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.7125" id="M183" style="vertical-align:-3.2316pt;width:83.787498px;" version="1.1" viewbox="0 0 83.787498 14.7125" width="83.787498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.98,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.41692" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.31,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.06,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8523636" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-10.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>该算法的优势可以概括如下。(1)2 d-doa和频率可以自动配对。(2)该算法具有更好的角度和频率估计性能比ESPRIT算法和点算法。</pgydF4y2Ba> <h4 id="simulation-results">4所示。仿真结果</gydF4y2Bah4> <p>我们现在的蒙特卡罗模拟来评估关节2 d-doa和频率估计算法的性能。蒙特卡罗试验的数量是500。有三个信号侵犯l型阵列(<年代vg height="13.2125" id="M184" style="vertical-align:-1.76814pt;width:46.799999px;" version="1.1" viewbox="0 0 46.799999 13.2125" width="46.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.2125)"> <g transform="translate(72,-61.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 5</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.45,68.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.89,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.465251" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.17,68.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> </g> </g> </svg>1.2 MHz), (<年代vg height="13.2125" id="M185" style="vertical-align:-1.76814pt;width:46.799999px;" version="1.1" viewbox="0 0 46.799999 13.2125" width="46.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.2125)"> <g transform="translate(72,-61.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 5</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.45,68.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.89,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.465251" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.17,68.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> </g> </g> </svg>1.6 MHz), (<年代vg height="13.2125" id="M186" style="vertical-align:-1.76814pt;width:46.799999px;" version="1.1" viewbox="0 0 46.799999 13.2125" width="46.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.2125)"> <g transform="translate(72,-61.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 5</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.45,68.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.89,63.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.465251" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.17,68.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∘</t年代p一个n> </text> </g> </g> </svg>,分别1.8 MHz)。我们认为与15 l型阵列传感器,如图所示<一个href="//www.newsama.com/journals/ijap/2012/983092/fig1/" target="_blank">1</一个>。间隔<年代vg height="10.75" id="M187" style="vertical-align:-0.15048pt;width:9.375px;" version="1.1" viewbox="0 0 9.375 10.75" width="9.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>每个均匀线性阵列中相邻元素之间的小于最小波长的一半传入的信号。定义根均方误差(RMSE)的角度:<年代p一个ncl作为年代=”equation" id="eq27"> <svg height="56.025002" id="M188" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 56.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,56.025)"> <g transform="translate(72,-27.18)"> <text transform="matrix(1,0,0,-1,73.63,43.54)"> <tspan style="font-size: 12.50px; " x="52.889999" y="-7.25"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> R</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.454668" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.406336" y="0"> E</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.508999" y="0"> =</t年代p一个n> </text> <g> <path d="m 124.38,46.66 10.53,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,124.38,34.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.58,59.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.18,36.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.7,29.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,156.42,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="6.9299998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="13.86"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="36.040001"> ⎷</t年代p一个n> </text> <g> <path d="m 171.23,70.71 170.85,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,178.67,50.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> </text> <g> <path d="m 172.42,46.66 18.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,172.42,34.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.18,59.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 5</t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 0</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7519999" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.67,36.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.46,29.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2139201" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="12.20904" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.12,45.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.51" y="1.58"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,222.18,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2139201" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,236.41,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,254.31,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.0084162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,263.56,45.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,266.06,50.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,273.71,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.34" y="-1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.34" y="1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.84" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,293.72,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2139201" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,307.95,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,325.46,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.0084162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,334.71,45.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,337.21,50.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,342.08,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.79" y="-2.9300001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="129.95351" y="-2.9300001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="136.205" y="-2.9300001"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="142.4565" y="-2.9300001"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="11.0125" id="M189" style="vertical-align:-3.20526pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 11.0125" width="16.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.4,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是估计的仰角,<年代vg height="11.05" id="M190" style="vertical-align:-3.2316pt;width:13.95px;" version="1.1" viewbox="0 0 13.95 11.05" width="13.95" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.4,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是完美的仰角,<年代vg height="14.5625" id="M191" style="vertical-align:-3.20526pt;width:16.225px;" version="1.1" viewbox="0 0 16.225 14.5625" width="16.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5625)"> <g transform="translate(72,-60.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.79,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是估计的方位角,<年代vg height="14.5875" id="M192" style="vertical-align:-3.2316pt;width:13.4625px;" version="1.1" viewbox="0 0 13.4625 14.5875" width="13.4625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.79,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是完美的方位角。</pgydF4y2Ba> <p>定义根均方误差(RMSE):频率<年代p一个ncl作为年代=”equation" id="eq28"> <svg height="56.025002" id="M193" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 56.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,56.025)"> <g transform="translate(72,-27.18)"> <text transform="matrix(1,0,0,-1,110.4,43.54)"> <tspan style="font-size: 12.50px; " x="52.889999" y="-7.25"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> R</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.454668" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.406336" y="0"> E</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.508999" y="0"> =</t年代p一个n> </text> <g> <path d="m 161.15,46.66 10.53,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,161.15,34.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.35,59.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.96,36.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,175.48,29.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,193.2,63.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="6.9299998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="13.86"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="36.040001"> ⎷</t年代p一个n> </text> <g> <path d="m 208,70.71 97.31,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,215.45,50.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> </text> <g> <path d="m 209.2,46.66 18.75,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,209.2,34.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,232.96,59.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 5</t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 0</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7519999" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.45,36.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.23,29.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2139201" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="12.20904" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,249.9,45.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="1.58"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,257.75,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2139201" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,271.99,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,288.68,40.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.0084162" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,297.93,45.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,300.43,50.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,305.31,43.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.56" y="-2.9300001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="166.7235" y="-2.9300001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="172.97501" y="-2.9300001"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="179.2265" y="-2.9300001"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="11.0125" id="M194" style="vertical-align:-3.20526pt;width:14.8875px;" version="1.1" viewbox="0 0 14.8875 11.0125" width="14.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-66.85,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>估计频率和吗<年代vg height="11.05" id="M195" style="vertical-align:-3.2316pt;width:12.1375px;" version="1.1" viewbox="0 0 12.1375 11.05" width="12.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-66.85,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是完美的频率。请注意,<年代vg height="10.325" id="M196" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>快照的数量;<年代vg height="10.325" id="M197" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>源的数量;<年代vg height="10.325" id="M198" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.325" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是延误的数量为阵列天线的接收信号输出;<年代vg height="10.325" id="M199" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是天线的数量。</pgydF4y2Ba> <p><span class="statement" id="simu1"><span class="statement-title"><i class="statement-title">模拟1。</我></span>我们首先研究该算法的收敛性能。定义<年代vg height="23.725" id="M200" style="vertical-align:-3.6705pt;width:113.925px;" version="1.1" viewbox="0 0 113.925 23.725" width="113.925" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,23.725)"> <g transform="translate(72,-53.02)"> <text transform="matrix(1,0,0,-1,-71.95,56.73)"> <tspan style="font-size: 12.50px; " x="29.15" y="-3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.34" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7523403" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.792728" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-34.58,53.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-28.59,56.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.16" y="-3"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.35" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-8.22,53.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.38,56.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.92,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="12.96"> </t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="19.887501" id="M201" style="vertical-align:-3.2316pt;width:15.4375px;" version="1.1" viewbox="0 0 15.4375 19.887501" width="15.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8875)"> <g transform="translate(72,-56.09)"> <text transform="matrix(1,0,0,-1,-71.14,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-0.81" y="3"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.92,56.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是估计的矩阵<年代vg height="10.9125" id="M202" style="vertical-align:-0.0pt;width:11.4125px;" version="1.1" viewbox="0 0 11.4125 10.9125" width="11.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的<年代vg height="9.9250002" id="M203" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>迭代。图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig2/" target="_blank">2</一个>介绍了该算法的算法收敛性能<年代vg height="13.075" id="M204" style="vertical-align:-1.76814pt;width:134.825px;" version="1.1" viewbox="0 0 134.825 13.075" width="134.825" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.890113" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.930502" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.182001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.395752" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.386372" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.426758" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.678261" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.892014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.219971" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.247856" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.49935" y="0"> 5</t年代p一个n> </text> </g> </g> </svg>和信噪比= 20分贝。图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig2/" target="_blank">2</一个>表明该算法需要迭代20左右达到收敛。</年代p一个n></p> <p><span class="statement" id="simu2"><span class="statement-title"><i class="statement-title">模拟2。</我></span>我们的算法是研究的性能。<年代vg height="13.075" id="M205" style="vertical-align:-1.76814pt;width:134.825px;" version="1.1" viewbox="0 0 134.825 13.075" width="134.825" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.890113" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.930502" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.182001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.395752" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.386372" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.426758" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.678261" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.892014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.219971" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.247856" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.49935" y="0"> 5</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="11.1" id="M206" style="vertical-align:-0.17555pt;width:56.262501px;" version="1.1" viewbox="0 0 56.262501 11.1" width="56.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.1)"> <g transform="translate(72,-63.12)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.103384" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.143772" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.395271" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.646774" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>在这个模拟。图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig3/" target="_blank">3</一个>显示2 d-doa估计算法在信噪比= 20 dB,和图<一个href="//www.newsama.com/journals/ijap/2012/983092/fig4/" target="_blank">4</一个>提出了仰角和频率分散我们的算法在信噪比= 20分贝。从数据<一个href="//www.newsama.com/journals/ijap/2012/983092/fig3/" target="_blank">3</一个>和<一个href="//www.newsama.com/journals/ijap/2012/983092/fig4/" target="_blank">4</一个>我们发现我们的算法是有效的。</年代p一个n></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.003" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.003.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 仰角和方位角散射。</t一个ble> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.004" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.004.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 仰角和频率散射。</t一个ble> </div> </div> </div> <p><span class="statement" id="simu3"><span class="statement-title"><i class="statement-title">模拟3。</我></span>我们比较算法和ESPRIT算法,算法,音乐传播算子方法和CRB。模拟仿真参数保留<一个href="#simu1">1</一个>。从数据<一个href="//www.newsama.com/journals/ijap/2012/983092/fig5/" target="_blank">5</一个>和<一个href="//www.newsama.com/journals/ijap/2012/983092/fig6/" target="_blank">6</一个>我们发现我们的算法具有更好的角度和频率估计性能比ESPRIT算法和点算法,它有一个非常亲密的角度和频率估计性能音乐算法,但是音乐算法需要三维谱峰搜索和复杂性远远大于我们的算法。</年代p一个n></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.005" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.005.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 角估计性能比较。</t一个ble> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig6"> <div class="floats-partial-content fig-content-fig6"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.006" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.006.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 频率估计性能比较。</t一个ble> </div> </div> </div> <p><span class="statement" id="simu4"><span class="statement-title"><i class="statement-title">模拟4。</我></span>我们的算法性能<年代vg height="13.075" id="M207" style="vertical-align:-1.76814pt;width:144.875px;" version="1.1" viewbox="0 0 144.875 13.075" width="144.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.890113" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.930502" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.182001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.395752" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.386372" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.426758" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.678261" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.892014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.007896" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="97.035782" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.28728" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="109.53878" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和不同的价值观<年代vg height="10.325" id="M208" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是调查。<年代vg height="10.325" id="M209" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设置为13、15和17个模拟。它从数据表示<一个href="//www.newsama.com/journals/ijap/2012/983092/fig7/" target="_blank">7</一个>和<一个href="//www.newsama.com/journals/ijap/2012/983092/fig8/" target="_blank">8</一个>2 d-doa估计算法的性能改善天线的数量增加。当天线数量的增加,我们的算法具有较高的多样性。</年代p一个n></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig7"> <div class="floats-partial-content fig-content-fig7"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.007" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.007.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 与不同的天线角度估计。</t一个ble> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig8"> <div class="floats-partial-content fig-content-fig8"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.008" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.008.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图8</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig8/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 与不同的天线频率估计。</t一个ble> </div> </div> </div> <p><span class="statement" id="simu5"><span class="statement-title"><i class="statement-title">模拟5。</我></span>我们的算法的性能<年代vg height="13.075" id="M210" style="vertical-align:-1.76814pt;width:151.85001px;" version="1.1" viewbox="0 0 151.85001 13.075" width="151.85001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.890113" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.930502" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.182001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.395752" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.711208" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.003098" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.254601" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.468346" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.584236" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.61212" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="108.86362" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="115.11512" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和不同的价值观<年代vg height="10.325" id="M211" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是调查。<年代vg height="10.325" id="M212" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>将2、3、4模拟。它从数据表示<一个href="//www.newsama.com/journals/ijap/2012/983092/fig9/" target="_blank">9</一个>和<一个href="//www.newsama.com/journals/ijap/2012/983092/fig10/" target="_blank">10</一个>2 d-doa和频率估计算法的性能与源的增加降低<年代vg height="10.325" id="M213" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</年代p一个n></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig9"> <div class="floats-partial-content fig-content-fig9"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.009" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.009.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图9</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig9/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 频率估计有不同的来源。</t一个ble> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig10"> <div class="floats-partial-content fig-content-fig10"> <div class="partial-carousel--single-image"> <img alt="" name="983092.fig.0010" src="https://static-01.hindawi.com/articles/ijap/volume-2012/983092/figures/983092.fig.0010.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图10</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijap/2012/983092/fig10/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 频率估计有不同的来源。</t一个ble> </div> </div> </div> <h4 id="conclusions">5。结论</gydF4y2Bah4> <p>在本文中,我们开发一种新方法对关节2 d-doa和频率估计基于l型阵列使用迭代最小二乘法。无需谱峰搜索和匹配,该算法行之有效。此外,我们的算法具有更好的2 d-doa和频率估计性能比传统的ESPRIT算法和点算法,它有一个非常接近2 d-doa音乐算法和频率估计性能。有用的仿真实验验证了该算法的行为。</pgydF4y2Ba> <h4 id="acknowledgments">确认</gydF4y2Bah4> <p>这项工作是由中国国家自然科学基金(61179006号,60801052),江苏博士后研究基金(没有计划项目。1201039 c),打开项目的水声通信和海洋信息技术重点实验室(厦门大学)和南京航空航天大学研究经费(NP2011036号、NZ2012010 kfjj120115, kfjj20110215)。作者希望感谢匿名审稿人的宝贵的建议改善。</pgydF4y2Ba> </div> <div class="xml-content"> <h4 class="references" id="references">引用</gydF4y2Bah4> <ol> <li id="B1">c·p·马修斯和m·d·康赖尔Eigenstructure技术对于匀速圆周阵列的二维角度估计,“<我>IEEE信号处理</我>,42卷,不。9日,第2407 - 2395页,1994年。<年代p一个ncl作为年代=”reflinks">视图:<一个href="https://doi.org/10.1109/78.317861">出版商的网站</一个><span class="sep">|</年代p一个n><a href="https://scholar.google.com/scholar_lookup?title=Eigenstructure%20techniques%20for%202-D%20angle%20estimation%20with%20uniform%20circular%20arrays&author=C. 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Selén&publication_year=2004" target="_blank">谷歌学术搜索</一个></span></li> <li id="B17">p .斯托伊卡和a . Nehorai“有条件的和无条件的direction-of-arrival估计的性能研究”,<我>IEEE声学,演讲,和信号处理</我>,38卷,不。10日,1783 - 1795年,1990页。<年代p一个ncl作为年代=”reflinks">视图:<一个href="https://doi.org/10.1109/29.60109">出版商的网站</一个><span class="sep">|</年代p一个n><a href="https://scholar.google.com/scholar_lookup?title=Performance%20study%20of%20conditional%20and%20unconditional%20direction-of-arrival%20estimation&author=P. Stoica &author=A. Nehorai&publication_year=1990" target="_blank">谷歌学术搜索</一个></span></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权</gydF4y2Bah4> <p>版权©2012 Ling-yun徐等。这是一个开放分布式下文章<一个rel=”l我cen年代e”href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</pgydF4y2Ba> </div> </div> </article> </div> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 eyHfWh journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 dbAANp article_widget biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 becpDt hrTitleRef">更多相关文章</gydF4y2Bah4> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 coBIiF"></div> </div> </div> </div> <div class="threeColumn__RightWrapper-sc-1bf4078-2 jzTMLK rightWrapper" id="rightSectionMenu"> <div> <div class="journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 gbrQxi article_sticky_top_toolbar"> <div class="sc-cBdUnI hRnXob article_top_toolbar"> <a class="sc-htpNat bUhGXt link sc-jtRfpW 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height="24"><span class="text">下载引用</年代p一个n></span><span class="sc-htoDjs bqeMOy sc-dqBHgY cQgXqt fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-jtRfpW dIjoCg sc-BngTV hmDWcT ref_desktop" href="//www.newsama.com/journals/ijap/2012/983092.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-kTUwUJ eujois" title="" role="presentation" 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height="24"><span class="text">引用</年代p一个n></span><span class="sc-htoDjs bqeMOy sc-dqBHgY cQgXqt fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 isgRZA article_sticky_bottom_toolbar"> <div class="sc-cTjmhe ihmyEq article_bottom_toolbar"> <div class="sc-cugefK itFKcQ accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">下载其他格式</年代p一个n><span class="sc-gkFcWv gWTCXQ">更多的</年代p一个n></span> <span class="sc-htoDjs bMdQcY sc-gbOuXE jGPvPL icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-fnwBNb etzuBr"> <a class="sc-htpNat bUhGXt link sc-iNhVCk gWgCNb open_panel" href="//www.newsama.com/downloads/journals/ijap/2012/983092.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-eAKXzc WHkfb"> ePub</d我v><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">订单打印副本</年代p一个n><span class="sc-gkFcWv gWTCXQ">订单</年代p一个n></span><span class="sc-htoDjs kNoiZu sc-gbOuXE jGPvPL right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-hBbWxd kdRRST"> <div class="sc-dyGzUR cHatnS"> <div> 的观点<年代p一个n>1199年</年代p一个n> </div> <div> 下载<年代p一个n>905年</年代p一个n> </div> </div> <div> <div class="sc-drKuOJ kxdGAZ"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2012/983092" data-style="small_circle"></span>引用</d我v> </div> </div> <nav class="sc-bRBYWo fXBKFa sc-hUfwpO jHPgUP" id="toolbar__iconNav"> <h3 class="sc-Rmtcm hNPrIr">分享文章</gydF4y2Bah3> <ul class="sc-hzDkRC bnbfTS"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2012/983092&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" 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