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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"> <p class="sc-kZmsYB bkiEfx article_type">研究文章|据!-- -->开放获取据/p> <div class="sc-RcBXQ ztvYg article_citation"> 体积据!-- --> 2020据!-- --> <span class="sc-fZwumE cUsFHx">|据/年代pan>文章ID.据!-- --> 4062487据!-- --> <span class="sc-fZwumE cUsFHx">|据/年代pan> <a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2020/4062487" aria-label="Doi-link">https://doi.org/10.1155/2020/4062487据/a> </div> <div class="sc-LKuAh lcOiDF article_full_citation"> <div class="sc-hzNEM gsmOCv isHide"> <p>苏娜，朱琪，王颖据!-- -->那据!-- --> “据年代pan class="adjust-article-svg-size">基于能量收集的noma增强D2D通信资源分配算法据/年代pan>“，据!-- --><i>移动信息系统据/i>那据!-- --> 卷。据!-- -->2020据!-- -->那据!-- --> 文章ID.据!-- -->4062487据!-- -->那据!-- --> 11据!-- -->   页面据!-- -->那据!-- --> 2020据!-- -->．据!-- --> https://doi.org/10.1155/2020/4062487据/p> </div> <button class="sc-hSdWYo etauus sc-iBEsjs kPshFw" color="">显示引文据/button> </div> <h1 class="sc-iRbamj jZOxOO sc-iSDuPN cTnPQL article_title adjust-article-svg-size heading-title">基于能量收集的noma增强D2D通信资源分配算法据/h1> </div> <div class="sc-jrIrqw eHMFfo article_authors"> <hr class="sc-cEvuZC XkrFe hr__author"> <span class="">Na苏据!-- -->那据年代up>1据!-- -->那据!-- -->2据/年代up></span> <span class=""><b>朱七据/b><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><a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0002-8190-8912" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-iybRtq iQSObO" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a>那据年代up>1据!-- -->那据!-- -->2据/年代up> 和据/年代pan> <span class="">王王据年代up>1据!-- -->那据!-- -->2据/年代up></span> <div class="sc-fHxwqH dMuGGA isHide"> <p><sup>1据/年代up><span>无线通信邮电南京大学南京210003，中国江苏省重点实验室，据/年代pan></p> <p><sup>2据/年代up><span>南京邮电大学基于泛在无线网络的医疗服务系统工程研究中心，南京据/年代pan></p> </div> <button class="sc-hSdWYo etauus sc-iQtOjA kfDwZY" color="">显示更多据/button> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑：据/b>Carlos A. Gutierrez.据/D.iv> <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">已收到据/年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2019年9月5日据/年代pan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">公认据/年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">1月20日18日据/年代pan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表据/年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年2月17日据/年代pan> </div> </div> </div> <article class="sc-jtRlXQ hDZsgu article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">抽象的据/h4.> <p>在这项工作中，我们提出了一种基于非正交多址(NOMA)的能量收集(EH)设备对设备(D2D)通信的信道分配和功率控制算法。该算法考虑用户服务质量(QoS)和能量因果约束，最大限度地提高D2D组的总容量。首先实现了信道和功率的离线最优分配。然后，将离线优化结果作为训练数据集，对神经网络进行训练，得到最优的传输功率模型。进一步提出了在线功率分配优化算法。仿真结果表明，离线算法可以提高D2D组的总容量，在线算法的性能接近离线算法。据/p> <span class="end-abs"></span> <h4 id="introduction">1.介绍据/h4.> <p>设备到设备（D2D）通信可以在不通过基站（BS）或其他核心网络之间建立相邻用户之间的直接通信链路[据a href="#B1">1据/a>］．可以降低BS的流量负荷和D2D用户的传输功率[据a href="#B2">2据/a>］．非正交多址（NOMA）技术允许发送器在通过电源叠加在相同的频率，从而可以提高频谱效率发送多个信号。用相结合的技术NOMA D2D通信是未来网络部署更好，让更多的用户能够连接到网络。据/p> <p>基于NOMA的D2D通信近年来引起了研究者的关注。在 [据a href="#B3">3.据/a>[作者，作者分析了系统的ergodic容量，其中D2D用户在充当继电器以转发BS的信息时通信，并且在信息传输的两个阶段采用NOMA技术。在 [据a href="#B4">4.据/a>[BS通过NOMA技术向多个蜂窝用户发送信息。D2D用户的总速率在蜂窝用户的最小速率要求下最大化。作者[据a href="#B5">5.据/a>]，分析了采用NOMA技术进行信息传输时D2D用户的速率，并提出了使系统总速率最大化的信道分配算法。一种noma增强的D2D通信系统在[据a href="#B6">6.据/a>]，优化子信道和功率分配，使系统和速率最大化。以上文章没有考虑D2D用户的能量供应，隐含地假设D2D发射器(DT)的能量是无限的。然而，DTs的能量是有限的或需要充电。因此，无限能量的假设并不总是与现实相一致[据a href="#B7">7.据/a>］．据/p> <p>能量收集（EH）技术可以解决低能耗用户的能源问题，实现绿色通信[据a href="#B8">8.据/a>］．用户可以通过无线传输或从周围环境获取能量。作者[据a href="#B9">9.据/a>-据a href="#B13">13据/a>研究了D2D发射器通过无线功率传输获取能量时的资源分配问题。但是，当用户与电站之间的距离较远时，无线传输的方式会由于路径损耗而造成严重的能量浪费。据/p> <p>在 [据a href="#B14">14据/a>-据a href="#B17">17据/a>， D2D用户从周围环境中获取能量。作者[据a href="#B14">14据/a>]利用帕累托最优边界和子载波分配方法，在能量因果约束和电池溢出约束下为D2D用户分配功率和信道。蜂窝用户与D2D用户之间的多对多匹配问题[据a href="#B15">15据/a>[D2D用户的传输功率和传输时间在能量收集约束下进行了优化。在 [据a href="#B16">16据/a>，提出了一种低复杂度的能量感知空间匹配方法来解决信道和功率分配问题。在 [据a href="#B17">17据/a>]，提出了一种基于Dinkelbach和Lagrangian约束优化的迭代算法，以最大限度地提高D2D用户的平均能效。然而,作者(据a href="#B14">14据/a>-据a href="#B17">17据/a>]，假设在传输过程之前已经获得了完整的系统信息，并提出了离线算法。实际上，对采集到的能量和系统信息没有先验知识。作者[据a href="#B18">18据/a>假设收获的能量是因果性已知的并且提出了离线接头功率控制和信道分配算法，并且通过使用动态编程方法来分配在线传输功率。但是，由于在线算法中的高复杂性[据a href="#B18">18据/a>]，当采集的能量发生变化时，在线传输的功率不能立即得到。据/p> <p>为了快速确定在线传输功率，本文使用神经网络进行在线功率分配。这是因为神经网络是由大量互连处理单元组成的非线性，自适应信息处理系统，其能够以高速找到最佳解决方案。假设DTS可以通过重用蜂窝用户的下行链路链路来从周围环境中收集来自周围环境的能量，并通过NOMA技术将叠加的信号发送到多个D2D接收器（DRS）。本文的主要贡献如下：据年代pan class="list"><span class="list-item"><span class="list-label">（1）据/年代pan><span class="list-content">为了优化DTS的在线传输功率，首先，通过考虑用户和能量因果关系约束的QoS，基于Lagrange约束优化优化了离线传输功率，提出了离线信道分配和功率控制算法。据/年代pan></span><span class="list-item"><span class="list-label">（2）据/年代pan><span class="list-content">提出了一种具有因果系统信息的在线功率分配优化算法。离线功率分配算法的最佳传输功率和影响传输功率的系统参数被视为培训神经网络的训练数据。因此，通过神经网络模型可以获得最佳的在线传输功率。据/年代pan></span><span class="list-item"><span class="list-label">（3）据/年代pan><span class="list-content">仿真结果表明，本文提出的资源算法与[据a href="#B18">18据/a>］．此外，在线功率分配优化算法的性能接近离线功率分配优化算法。据/年代pan></span></span></p> <p>本文的其余部分安排如下。系统模型和EH模型在一节中介绍据a href="#sec2">2据/a>．然后，在部分据a href="#sec3">3.据/a>，我们建立了优化问题模型并解决了优化问题。我们还提出了离线通道分配和功率控制算法，以及在线功率分配优化算法。在部分提供并分析模拟结果据a href="#sec4">4.据/a>显示所提出的算法的性能。最后，结论是在一节中绘制的据a href="#sec5">5.据/a>．据/p> <h4 id="system-model">2.系统模型据/h4.> <p>我们考虑一个混合的单单元场景，如图所示据a href="//www.newsama.com/journals/misy/2020/4062487/fig1/" target="_blank">1据/a>，它包含一个位于细胞中心的BS，据i>m据/i>手机用户,据i>N据/i>D2D组。每个D2D组包括1个DT和2个dr，每个D2D组的接收机随机分布在半径为Rd的圆内，圆的圆心为对应的发射机。我们使用据年代pan class="inline_break"> <svg height="12.5794pt" id="M1" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 63.879 12.5794" width="63.879pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g190-68"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.645,0)"> <path d="M716 650H478V622C549 617 570 605 575 566C579 535 582 493 582 401V326C582 161 537 40 393 40C269 40 205 133 205 294V521C205 611 213 617 291 622V650H33V622C111 615 120 611 120 521V272C120 154 148 80 208 34C252 0 309 -14 368 -14C434 -14 501 7 548 55C605 116 623 201 623 319V401C623 493 626 536 629 563C633 605 656 618 716 622V650Z" id="g190-86"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.913,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path> </g> <g transform="matrix(.013,0,0,-0.013,33.176,0)"> <path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.687,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.332,0)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,55.968,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,60.915,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="66.00818380000001 -9.28833 26.192 12.5794" width="26.192pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,66.058,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.703,0)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,84.339,3.132)"> <path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path> </g> <g transform="matrix(.013,0,0,-0.013,89.286,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="94.3791838 -9.28833 18.426 12.5794" width="18.426pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,94.429,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path> </g> <g transform="matrix(.013,0,0,-0.013,99.572,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,104.715,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,109.891,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="114.9851838 -9.28833 29.096 12.5794" width="29.096pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g 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height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="146.2601838 -9.28833 18.427 12.5794" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,146.31,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,151.453,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,156.596,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,161.773,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="166.8661838 -9.28833 32.596 12.5794" width="32.596pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,166.916,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,175.561,0)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,185.197,3.132)"> <path d="M1006 650H829L492 147L357 650H174L166 618C270 609 275 601 247 502L194 315C158 189 136 127 122 96C104 56 80 37 18 32L12 0H256L263 32C181 40 176 51 183 98C188 132 197 179 226 281L299 541H301L433 6H458L809 551H811L753 141C739 41 734 39 650 32L642 0H917L923 32C836 39 827 41 839 142L887 535C896 610 901 612 997 618L1006 650Z" id="g50-78"></path> </g> <g transform="matrix(.013,0,0,-0.013,194.784,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></span>和据年代pan class="inline_break"> <svg height="12.5794pt" id="M2" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 47.167 12.5794" width="47.167pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path> </g> <g transform="matrix(.013,0,0,-0.013,13.59,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.853,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.364,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.257,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.203,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="49.296183799999994 -9.28833 17.804 12.5794" width="17.804pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,49.346,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.24,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.186,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="69.2791838 -9.28833 18.427 12.5794" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,69.329,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.472,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.615,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.792,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="89.88518380000001 -9.28833 18.032 12.5794" width="18.032pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,89.935,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,99.828,3.132)"> <path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path> </g> <g transform="matrix(.013,0,0,-0.013,105.003,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="110.0961838 -9.28833 18.426 12.5794" width="18.426pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,110.146,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.289,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.432,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,125.608,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="130.7021838 -9.28833 23.087 12.5794" width="23.087pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,130.752,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,140.645,3.132)"> <path d="M870 650H622L613 619C694 615 708 606 708 559C708 531 702 477 686 396L636 136H633L281 650H127L120 619C180 616 198 611 212 592C227 572 232 558 220 503L166 254C148 169 139 131 126 89C112 43 85 35 33 32L24 0H280L286 32C208 37 189 44 189 93C189 124 198 179 212 250L267 526H271L622 -8H655L732 396C747 477 762 532 770 556C785 600 798 616 862 619L870 650Z" id="g50-79"></path> </g> <g transform="matrix(.013,0,0,-0.013,148.925,0)"> <use xlink:href="#g113-126"></use> </g> </svg></span>表示蜂窝用户和D2D组的集合，其中CU据年代ub><i>米据/i></sub>和据i>D.据/i><sub><i>n据/i></sub>代表蜂窝用户据i>米据/i>和D2D集团据i>n据/i>,分别。蜂窝用户使用正交下行信道与基站进行传统蜂窝通信。与传统的D2D通信不同，在每个D2D组中，DT可以使用NOMA传输机制同时向两个DRs发送消息。每个D2D组复用蜂窝用户的信道进行通信，每个信道最多可以被一个D2D组复用。据/p> <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="4062487.fig.001" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.001.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 蜂窝用户与D2D群组间下行链路共享的系统模型。据/D.iv> </div> </div> <p>我们假设DTs可以从周围环境中获取能量据年代vg height="9.25202pt" id="M3" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 9.90673 9.25202" width="9.90673pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z" id="g113-241"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.434,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z" id="g50-102"></path> </g> </svg>秒。也就是说，能源到来的时间阶段是据年代pan class="nowrap"> <svg height="12.5794pt" id="M4" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 81.9039 12.5794" width="81.9039pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.383,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.817,3.132)"> <use xlink:href="#g50-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.17,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.313,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.456,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.599,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.776,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.919,0)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z" id="g113-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,53.458,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.892,3.132)"> <use xlink:href="#g50-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.245,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.388,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.531,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.674,0)"> <use xlink:href="#g113-47"></use> </g> </svg>那据/年代pan>收获的能量在[0，据i>E.据/i><sub>最大限度据/年代ub>］．两个连续能量到达时刻之间的时间间隔称为历元[据a href="#B18">18据/a>］．能量瞬时到达时期的开头，并存储在用户的电池中以供以后的信息传输。电池的容量远大于收获的能量，即，没有考虑电池的容量限制。假设来自电池的能量的存储和检索是无损的[据a href="#B14">14据/a>］．假设能量到达据i>K.据/i>总传输时间的时间据i>T.据/i>．然后，历元的数目是据i>K.据/i>．据/p> <p>为了区分同一D2D组中的两个接收器，我们假设据i>h据/i><sub><i>n据/i>，1据/年代ub> < 据i>h据/i><sub><i>n据/i>，2据/年代ub>，在哪里据i>h据/i><sub><i>n据/i>，1据/年代ub>（据i>h据/i><sub><i>n据/i>，2据/年代ub>）是第1（第2）接收器和发射机之间的信道增益据i>D.据/i><sub><i>n据/i></sub>．根据NOMA协议，第一接收机的传输功率大于第二接收机的传输功率。接收机采用连续干扰消除(SIC)技术检测信号。SIC技术的基本原理是逐步消除最大信号功率对用户的影响。也就是说，第一个接收器直接解码它自己的信号据i>年代据/i><sub><i>n据/i>，1据/年代ub>从所接收到的叠加信号中，第二接收机先对第一接收机的信号进行解码并将其取出，然后再对自己的信号进行解码据i>年代据/i><sub><i>n，据/i>2据/年代ub>[据a href="#B19">19据/a>］．据/p> <p>当据i>D.据/i><sub><i>n据/i></sub>复用CU的信道据年代ub><i>米据/i></sub>， CU的信噪比(SINR)据年代ub><i>米据/i></sub>在纪元据i>k据/i>是由据年代pan class="equation_break" id="EEq1"><span class="left_break" id="L5"></span><span class="middle_break"><span class="center_break" id="M5"> <svg height="33.9871pt" id="M5-1" version="1.1" viewbox="0 0 138.884 33.9871" width="138.884pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B5-1"> <g 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</g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>分别是BS和DT的发送功率据年代ub><i>n据/i></sub>那据i>h据/i><sub><i>Bm据/i></sub>BS和CU之间的信道增益是多少据年代ub><i>米据/i></sub>那据i>h据/i><sub><i>纳米据/i></sub>DT之间的信道增益是多少据年代ub><i>n据/i></sub>和Cu据年代ub><i>米据/i></sub>共享同一频道，据i>h据/i><sub><i>Bn据/i>，1据/年代ub>（据i>h据/i><sub><i>Bn据/i>，2据/年代ub>)是BS与第1(2)接收端之间的信道增益据i>D.据/i><sub><i>n据/i></sub>那据年代vg height="16.5945pt" id="M11" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.652,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>表示信号的功率分配因数据i>年代据/i><sub><i>n据/i>，1据/年代ub>在据i>D.据/i><sub><i>n据/i></sub>，和据年代vg height="11.7978pt" id="M12" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 12.4186 11.7978" width="12.4186pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-240"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.347,-5.741)"> <use xlink:href="#g50-51"></use> </g> </svg>表示添加性白色高斯噪声的光谱密度。据/p> <h4 id="resource-allocation-algorithm-for-noma-enhanced-d2d-communication-with-eh">3.与eh的NOMA增强D2D通信资源分配算法据/h4.> <p>在本节中，我们分析了蜂窝用户和D2D组之间的最佳信道匹配，DTS的最佳传输功率以及D2D组中更强和较弱的接收器的功率分配方案。考虑到DTS的QoS需求和DTS的有限传输力，以最大限度地提高D2D组的总容量，优化问题（据i>P.据/i>1)建立如下:据年代pan class="equation_break" id="EEq5"><span class="left_break" 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xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B13-19"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.93,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.97,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="341.818pt" id="IL13" version="1.1" viewbox="0 0 19.81 341.818" width="19.81pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 30.05)" xlink:href="#B13-3"></use> <use transform="matrix(1 0 0 1 0 83.8)" xlink:href="#B13-5"></use> <use transform="matrix(1 0 0 1 0 110.46)" xlink:href="#B13-7"></use> <use transform="matrix(1 0 0 1 0 137.12)" xlink:href="#B13-9"></use> <use transform="matrix(1 0 0 1 0 173.57)" xlink:href="#B13-12"></use> <use transform="matrix(1 0 0 1 0 210)" xlink:href="#B13-14"></use> <use transform="matrix(1 0 0 1 0 268.83)" xlink:href="#B13-17"></use> <use transform="matrix(1 0 0 1 0 327.33)" xlink:href="#B13-19"></use> </svg></span></span>在哪里据i>x据/i><sub><i>纳米据/i></sub>是D2D组的频道重用指示器，据i>x据/i><sub><i>纳米据/i></sub>= 1表示据i>D.据/i><sub><i>n据/i></sub>复用CU的通道据年代ub><i>米据/i></sub>；否则，它就不能重用。据年代vg height="16.2154pt" id="M14" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <use xlink:href="#g50-100"></use> </g> </svg>和据年代vg height="16.2154pt" id="M15" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <use xlink:href="#g50-101"></use> </g> </svg>分别为蜂窝用户和DRs的最小SINR阈值，据i>E.据/i><sub><i>n据/i>那据i>k据/i></sub>表示DT收集的能量据年代ub><i>n据/i></sub>在纪元据i>k据/i>，和据年代vg height="16.2063pt" id="M16" style="vertical-align:-3.948101pt" version="1.1" viewbox="-0.0498162 -12.2582 23.373 16.2063" width="23.373pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g58-107"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.218,3.784)"> <use xlink:href="#g58-95"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.304,3.784)"> <use xlink:href="#g58-118"></use> </g> </svg>表示DTs的最大发射功率。等式（据a href="#EEq5">5.据/a>)为D2D群总容量最大化的目标函数。等式（据a href="#EEq5">6.据/a>）保证蜂窝用户的QoS要求。方程式（据a href="#EEq5">7.据/a>)和(据a href="#EEq5">8.据/a>）保证两个DRS的QoS要求。等式（据a href="#EEq5">9.据/a>）是能量因果关系约束，并意味着用于传输信号的消耗能量不能超过其收获的能量。等式（据a href="#EEq5">10据/a>)表示DTs的有限传输功率。等式（据a href="#EEq5">11据/a>）表示一个D2D组可以在大多数一个通道中重用，并且可以在大多数D2D组和等式中重复使用蜂窝用户的一个信道（据a href="#EEq5">12据/a>）表示分配给该接收器更弱的功率大于强接收机比DT的总功率更大但小据年代ub><i>n据/i></sub>．据/p> <p>优化的问题据i>P.据/i>图1是一个混合整数非线性规划问题，这是NP-hard问题[据a href="#B20">20.据/a>[以及查找此问题的确切解决方案的算法具有指数复杂性。因此，我们分解了优化问题据i>P.据/i>1分为三个子问题。第一个子问题优化DRS的功率分配因子。第二个子问题使用Kuhn-Munkres（KM）算法为D2D组分配通道，其目标是最大化D2D组的总容量。第三个子问题优化了在收获能量的限制下DTS的传输功率和最大传输功率。据/p> <h5 id="sec3.1">3．1.离线信道分配和功率控制算法据/h5.> <h6 id="sec3.1.1">3.1.1。功率分配系数的优化据/h6.> <p>由于D2D组之间不存在干扰，故单个D2D组的最大容量在据i>K.据/i>可以首先解决时代。当据i>D.据/i><sub><i>n据/i></sub>复用CU的通道据年代ub><i>米据/i></sub>，当D2D用户的发射功率固定时，计算D2D组中两个接收机的最优功率分配系数，使容量最大化据i>D.据/i><sub><i>n据/i></sub>．当据i>D.据/i><sub><i>n据/i></sub>复用CU的信道据年代ub><i>米据/i></sub>，总容量据i>D.据/i><sub><i>n据/i></sub>在据i>K.据/i>时间周期是据年代pan class="equation_break" id="EEq13"><span class="left_break" id="L17"></span><span class="middle_break"><span class="center_break" id="M17"> <svg height="38.6506pt" id="M17-1" version="1.1" viewbox="0 0 22.755 38.6506" width="22.755pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B17-1"> <g transform="matrix(.013,0,0,-0.013,0,22.822)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.68,16.559)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.62,26.606)"> <use xlink:href="#g50-111"></use> </g> <g 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</g> <g transform="matrix(.013,0,0,-0.013,117.1,12.258)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,125.13,6.517)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,123.76,16.042)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,128.42,16.042)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,135.74,16.042)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,137.9,16.042)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,143.1,12.258)"> <path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,153.34,15.39)"> <path d="M158 548H390L417 615L410 623H122L83 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xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,138.99,36.038)"> <path d="M290 377C321 398 342 415 358 430C378 450 389 473 389 502C389 578 329 635 238 635H237C184 635 137 610 109 578L64 515L88 493C112 529 154 573 208 573S303 542 303 482C303 409 233 370 141 341L149 308C165 313 190 319 215 319C272 319 341 283 341 193C342 98 292 43 222 43C163 43 122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z" id="g50-52"></path> </g> <g transform="matrix(.013,0,0,-0.013,146.85,32.906)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,157.38,32.906)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,167.63,36.038)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,173.9,22.822)"> <path d="M626 271V272C626 845 478 1358 152 1678L120 1644C380 1367 528 839 528 271C528 -295 377 -825 120 -1102L152 -1136C478 -823 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transform="matrix(.0091,0,0,-0.0091,256.96,16.042)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,264.28,16.042)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,266.44,16.042)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,271.64,12.258)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,281.88,15.39)"> <path d="M462 177V227H365V632H320C217 496 116 350 21 208V177H284V109C284 43 280 38 190 31V0H451V31C369 38 365 43 365 108V177H462ZM284 227H88C155 336 218 430 282 519H284V227Z" id="g50-53"></path> </g> <rect height="0.65243" width="41.2516" x="245.64" y="19.169"></rect> <g transform="matrix(.013,0,0,-0.013,258.65,32.048)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,268.9,35.18)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,288.09,22.822)"> <use xlink:href="#g119-174"></use> </g> <g transform="matrix(.013,0,0,-0.013,297.71,22.822)"> <use xlink:href="#g119-174"></use> </g> <g transform="matrix(.013,0,0,-0.013,309.48,22.822)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg class="alt_equation" height="65.3006pt" id="I17" version="1.1" viewbox="0 0 316.15 65.3006" width="316.15pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -10.04)" xlink:href="#B17-1"></use> <use transform="matrix(1 0 0 1 3.63 26.65)" xlink:href="#B17-2"></use> </svg></span></span><span class="right_break" id="R17"> <svg class="label" height="11.44pt" id="M17-3" version="1.1" viewbox="0 0 19.258 11.44" width="19.258pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B17-3"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.25)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.25)"> <use xlink:href="#g190-232"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.76,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="65.3006pt" id="IL17" version="1.1" viewbox="0 0 19.34 65.3006" width="19.34pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 26.72)" xlink:href="#B17-3"></use> </svg></span></span>在哪里据年代pan class="nowrap"> <svg height="15.9421pt" id="M18" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -11.5914 97.1768 15.9421" width="97.1768pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.822,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.085,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.741,3.132)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,42.092,3.132)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.94,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.583,3.132)"> <use xlink:href="#g50-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.362,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.022,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.178,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.076,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.613,0)"> <use xlink:href="#g113-240"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.96,-5.741)"> <use xlink:href="#g50-51"></use> </g> </svg>那据/年代pan><span class="nowrap"> <svg height="15.9421pt" id="M19" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -11.5914 97.1768 15.9421" width="97.1768pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.822,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.085,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.741,3.132)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,42.092,3.132)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.94,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.583,3.132)"> <use xlink:href="#g50-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.362,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.022,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.178,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.076,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.613,0)"> <use xlink:href="#g113-240"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.96,-5.741)"> <use xlink:href="#g50-51"></use> </g> </svg>那据/年代pan><span class="nowrap"> <svg height="16.5945pt" id="M20" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 102.829 16.5945" width="102.829pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.822,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.085,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path> </g> <g transform="matrix(.013,0,0,-0.013,34.583,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.729,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.265,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.845,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.258,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.918,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.243,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.4,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.6,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path> </g> <g transform="matrix(.013,0,0,-0.013,84.098,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,90.741,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.4,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.557,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>那据/年代pan><span class="nowrap"> <svg height="16.5945pt" id="M21" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 102.829 16.5945" width="102.829pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.822,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.085,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.583,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.729,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.265,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.845,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.258,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.918,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.243,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.4,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.6,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.098,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,90.741,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.4,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.557,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>那据/年代pan>和据年代pan class="nowrap"> <svg height="16.5945pt" id="M22" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 74.0648 16.5945" width="74.0648pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.822,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.085,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.665,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.078,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,40.738,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.063,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.22,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.42,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.063,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.722,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,68.879,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>．据/年代pan></p> <p>从等式（据a href="#EEq5">7.据/a>)和(据a href="#EEq5">8.据/a>)，则可得下式:据年代pan class="equation_break" id="EEq14"><span class="left_break" id="L23"></span><span class="middle_break"><span class="center_break" id="M23"> <svg height="87.2361pt" id="M23-1" version="1.1" viewbox="0 0 146.224 87.2361" width="146.224pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B23-1"> <g transform="matrix(.013,0,0,-0.013,0,23.877)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,17.613)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.99,27.661)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.65,27.661)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.98,27.661)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.13,27.661)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.96,23.877)"> <use xlink:href="#g117-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.42,12.485)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.91,6.744)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.74,6.744)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.32,16.269)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.31,12.485)"> <use xlink:href="#g119-133"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.09,12.485)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.11,6.744)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.74,16.269)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.4,16.269)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.73,16.269)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.89,16.269)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.09,12.485)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.73,15.617)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,100.39,15.617)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.54,15.617)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.42,12.485)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.96,12.485)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,131.2,15.617)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.15,12.485)"> <use xlink:href="#g119-134"></use> </g> <rect height="0.65243" width="100.641" x="41.42" y="20.223"></rect> <g transform="matrix(.013,0,0,-0.013,46.66,33.961)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.69,29.3)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.32,38.486)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.98,38.486)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,65.3,38.486)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.46,38.486)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.66,33.961)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.3,37.092)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.96,37.092)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,86.12,37.092)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.27,33.961)"> <path d="M332 -241C217 -138 149 60 149 271C149 483 216 680 332 783L312 808C148 686 74 491 74 272V271C74 50 148 -146 312 -266L332 -241Z" id="g119-5"></path> </g> <g 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xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.74,64.628)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.06,64.628)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.22,64.628)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.42,60.844)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.06,63.975)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.72,63.975)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.88,63.975)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.76,60.844)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.29,60.844)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.78,55.102)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,107.61,55.102)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.19,64.628)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,113,60.844)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,123.24,63.975)"> <use xlink:href="#g50-51"></use> </g> <rect height="0.65243" width="86.9009" x="41.42" y="67.754"></rect> <g transform="matrix(.013,0,0,-0.013,62.63,81.492)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,70.66,76.831)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.29,86.017)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,73.95,86.017)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.28,86.017)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.43,86.017)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.63,81.492)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.28,84.624)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,99.93,84.624)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.09,84.624)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.52,71.408)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R23"> <svg class="label" height="11.44pt" id="M23-2" version="1.1" viewbox="0 0 19.638 11.44" width="19.638pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B23-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.68,9.26)"> <use xlink:href="#g190-166"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.14,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M23-4" version="1.1" viewbox="0 0 19.288 11.44" width="19.288pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B23-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.26)"> <use xlink:href="#g190-161"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.79,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>拉格朗日函数（据a href="#EEq13">13据/a>)与方程(据a href="#EEq14">14据/a>)和(据a href="#EEq14">15据/a>)的公式如下:据年代pan class="equation_break" id="EEq16"><span class="left_break" id="L24"></span><span class="middle_break"><span class="center_break" id="M24"> <svg height="39.705pt" id="M24-1" version="1.1" viewbox="0 0 46.239 39.705" width="46.239pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B24-1"> <g transform="matrix(.013,0,0,-0.013,0,23.877)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z" id="g113-77"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.37,23.877)"> <use xlink:href="#g119-133"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.15,23.877)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.73,17.613)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.14,27.661)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,25.8,27.661)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,33.12,27.661)"> <use xlink:href="#g50-45"></use> </g> <g 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transform="matrix(.0091,0,0,-0.0091,84.32,27.661)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.65,27.661)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,93.81,27.661)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.01,23.877)"> <use xlink:href="#g119-134"></use> </g> </g> </svg> <svg height="39.705pt" id="M24-3" version="1.1" viewbox="0 0 136.669 39.705" width="136.669pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B24-3"> <g transform="matrix(.013,0,0,-0.013,0,23.877)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.54,23.877)"> <path d="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 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xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.83,9.26)"> <use xlink:href="#g190-227"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.26,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="163.285pt" id="IL24" version="1.1" viewbox="0 0 19.84 163.285" width="19.84pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 75.71)" xlink:href="#B24-7"></use> </svg></span></span>在哪里据i>λ据/i><sub>1据/年代ub>和据i>λ据/i><sub>2据/年代ub>是与方程约束相关的拉格朗日乘数(据a href="#EEq14">14据/a>)和(据a href="#EEq14">15据/a>）.式的Karush-Kuhn-Tucker条件据a href="#EEq16">16据/a>关于电力分配因子据年代vg height="16.5945pt" id="M25" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g 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xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 1.2 0)" xlink:href="#B26-1"></use> <use transform="matrix(1 0 0 1 3.63 46.74)" xlink:href="#B26-2"></use> <use transform="matrix(1 0 0 1 17.83 82.12)" xlink:href="#B26-3"></use> <use transform="matrix(1 0 0 1 43.98 82.12)" xlink:href="#B26-4"></use> <use transform="matrix(1 0 0 1 70.85 82.12)" xlink:href="#B26-5"></use> <use transform="matrix(1 0 0 1 0 68.86)" xlink:href="#B26-7"></use> <use transform="matrix(1 0 0 1 0 68.86)" xlink:href="#B26-9"></use> <use transform="matrix(1 0 0 1 1.2 68.86)" xlink:href="#B26-11"></use> <use transform="matrix(1 0 0 1 0 68.86)" xlink:href="#B26-13"></use> <use transform="matrix(1 0 0 1 0 68.86)" xlink:href="#B26-15"></use> </svg></span></span><span class="right_break" id="R26"> <svg class="label" height="11.44pt" id="M26-6" version="1.1" viewbox="0 0 19.338 11.44" width="19.338pt" xmlns="http://www.w3.org/2000/svg" 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transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.61,9.25)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.66,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="324.95pt" id="IL26" version="1.1" viewbox="0 0 21.6 324.95" width="21.6pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 49.05)" xlink:href="#B26-6"></use> <use transform="matrix(1 0 0 1 0 132.75)" xlink:href="#B26-8"></use> <use transform="matrix(1 0 0 1 0 180.8)" xlink:href="#B26-10"></use> <use transform="matrix(1 0 0 1 0 228.85)" xlink:href="#B26-12"></use> <use transform="matrix(1 0 0 1 0 276.9)" xlink:href="#B26-14"></use> <use transform="matrix(1 0 0 1 0 311.73)" xlink:href="#B26-16"></use> </svg></span></span>在哪里据年代pan class="nowrap"> <svg height="15.9421pt" id="M27" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -11.5914 245.502 15.9421" width="245.502pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-245"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.917,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.576,3.132)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.077,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.34,0)"> <use xlink:href="#g113-240"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,42.687,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.633,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.131,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.774,3.132)"> <use xlink:href="#g50-111"></use> </g> <g 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xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,187.295,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,197.831,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,204.474,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,209.134,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,211.29,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,216.262,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,222.905,3.132)"> <use xlink:href="#g50-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,228.685,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,233.344,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,235.501,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,240.493,0)"> <use xlink:href="#g113-42"></use> </g> </svg>．据/年代pan>是否是据i>h据/i><sub><i>Bn据/i>，1据/年代ub>或据i>h据/i><sub><i>Bn据/i>，2据/年代ub>更大是未知的，那么是否呢据年代vg height="10.2124pt" id="M28" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 20.574 10.2124" width="20.574pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-245"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.917,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.576,3.132)"> <use xlink:href="#g50-110"></use> </g> </svg>是积极的还是消极的。第一个等式项目（据a href="#EEq17">17据/a>）是一阶偏导数据年代vg height="17.2613pt" id="M29" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>与据年代pan class="nowrap"> <svg height="16.5945pt" id="M30" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.652,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan>如果据年代pan class="nowrap"> <svg height="11.7782pt" id="M31" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 41.7608 11.7782" width="41.7608pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-245"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.917,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.576,3.132)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.077,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z" id="g117-92"></path> </g> <g transform="matrix(.013,0,0,-0.013,35.34,0)"> <use xlink:href="#g113-49"></use> </g> </svg>那据/年代pan> <svg height="17.2613pt" id="M32" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>是一个单调的越来越多的功能据年代pan class="nowrap"> <svg height="16.5945pt" id="M33" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.652,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan>因此，在满足第2台接收机SINR的条件下，将功率尽可能分配给第1台接收机。在这种情况下，从等式（据a href="#EEq17">18据/a>)和(据a href="#EEq17">19据/a>），我们可以知道据i>λ据/i><sub>1据/年代ub> = 0 and据i>λ据/i><sub>2据/年代ub> > 0, and the power allocation factor of 1st receiver can be obtained from equation (据a href="#EEq17">21据/a>）如下：据年代pan class="equation_break" id="EEq23"><span class="left_break" id="L34"></span><span class="middle_break"><span class="center_break" id="M34"> <svg height="38.6643pt" id="M34-1" version="1.1" viewbox="0 0 132.484 38.6643" width="132.484pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-1"> <g transform="matrix(.013,0,0,-0.013,0,22.836)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,16.573)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.99,26.62)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.65,26.62)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.98,26.62)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.13,26.62)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.96,22.836)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.42,12.272)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.45,6.53)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.08,16.056)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.74,16.056)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.06,16.056)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.22,16.056)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.42,12.272)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.06,15.404)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.72,15.404)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.88,15.404)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.76,12.272)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.29,12.272)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.78,6.53)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,107.61,6.53)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.19,16.056)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,113,12.272)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,123.24,15.404)"> <use xlink:href="#g50-51"></use> </g> <rect height="0.65243" width="86.9009" x="41.42" y="19.182"></rect> <g transform="matrix(.013,0,0,-0.013,62.63,32.92)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,70.66,28.259)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.29,37.445)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,73.95,37.445)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.28,37.445)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.43,37.445)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.63,32.92)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.28,36.052)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,99.93,36.052)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.09,36.052)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.52,22.836)"> <use xlink:href="#g113-45"></use> </g> </g> </svg></span></span><span class="right_break" id="R34"> <svg class="label" height="11.44pt" id="M34-2" version="1.1" viewbox="0 0 21.018 11.44" width="21.018pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.64,9.26)"> <use xlink:href="#g190-232"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.52,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>当据年代pan class="nowrap"> <svg height="11.7782pt" id="M35" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 41.7608 11.7782" width="41.7608pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-245"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.917,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.576,3.132)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.077,0)"> <use xlink:href="#g117-91"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.34,0)"> <use xlink:href="#g113-49"></use> </g> </svg>那据/年代pan> <svg height="17.2613pt" id="M36" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>是单调递减函数吗据年代pan class="nowrap"> <svg height="16.5945pt" id="M37" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.652,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan>因此，在满足第一接收器SINR的条件下，功率尽可能地分配给第二接收器。在这种情况下，从等式（据a href="#EEq17">18据/a>)和(据a href="#EEq17">19据/a>),我们知道据i>λ据/i><sub>1据/年代ub>> 0,据i>λ据/i><sub>2据/年代ub> = 0, and the power allocation factor of 1st receiver can be obtained from equation (据a href="#EEq17">20.据/a>）如下：据年代pan class="equation_break" id="EEq24"><span class="left_break" id="L38"></span><span class="middle_break"><span class="center_break" id="M38"> <svg height="39.705pt" id="M38-1" version="1.1" viewbox="0 0 146.224 39.705" width="146.224pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B38-1"> <g transform="matrix(.013,0,0,-0.013,0,23.877)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,17.613)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.99,27.661)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.65,27.661)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.98,27.661)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.13,27.661)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.96,23.877)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.42,12.485)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.91,6.744)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.74,6.744)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.32,16.269)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.31,12.485)"> <use xlink:href="#g119-133"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.09,12.485)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.11,6.744)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.74,16.269)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.4,16.269)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.73,16.269)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.89,16.269)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.09,12.485)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.73,15.617)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,100.39,15.617)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.54,15.617)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.42,12.485)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.96,12.485)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,131.2,15.617)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.15,12.485)"> <use xlink:href="#g119-134"></use> </g> <rect height="0.65243" width="100.641" x="41.42" y="20.223"></rect> <g transform="matrix(.013,0,0,-0.013,46.66,33.961)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.69,29.3)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.32,38.486)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.98,38.486)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,65.3,38.486)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.46,38.486)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.66,33.961)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.3,37.092)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.96,37.092)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,86.12,37.092)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.27,33.961)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,98.29,33.961)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.44,33.961)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,117.98,33.961)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,123.46,29.318)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,126.29,29.318)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,122.88,38.486)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,131.68,33.961)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,143.26,23.877)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R38"> <svg class="label" height="11.44pt" id="M38-2" version="1.1" viewbox="0 0 21.318 11.44" width="21.318pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B38-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.36,9.26)"> <use xlink:href="#g190-166"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.82,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <h6 id="sec3.1.2">3.1.2。通道分配优化据/h6.> <p>考虑目标函数（据a href="#EEq5">5.据/a>)及限制(据a href="#EEq5">6.据/a>)和(据a href="#EEq5">11据/a>)时，信道分配优化问题可视为两个加权二部图的最优匹配问题。如图所示据a href="//www.newsama.com/journals/misy/2020/4062487/fig2/" target="_blank">2据/a>，D2D组集合和蜂窝用户集，分别表示在二分图的两个相互不相交的顶点集。如果据i>D.据/i><sub><i>n据/i></sub>复用CU的信道据年代ub><i>米据/i></sub>,顶点据i>n据/i>将与顶点连接据i>米据/i>一行。连接线上的重量值是据年代pan class="nowrap"> <svg height="17.2613pt" id="M39" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>那据/年代pan>哪个代表的容量据i>D.据/i><sub><i>n据/i></sub>当它重用CU的通道时据年代ub><i>米据/i></sub><i>．据/i></p> <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="4062487.fig.002" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.002.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 基于加权二部图的D2D组与蜂窝用户信道匹配问题。据/D.iv> </div> </div> <p>KM算法是一种有效的二进制匹配算法，通过给每个顶点一个标签，可以将最大权值匹配问题转化为完全匹配问题[据a href="#B21">21据/a>］．因此，我们使用KM算法为D2D组分配通道。详细步骤如下所示：据年代pan class="list"><span class="list-item"><span class="list-label">（1）据/年代pan><span class="list-content">初始化蜂窝用户集CU, D2D组集据i>D.据/i>，以及D2D组的候选蜂窝用户组据年代pan class="inline_break"> <svg height="12.5794pt" id="M40" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 46.998 12.5794" width="46.998pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M719 146L691 147C666 77 657 72 612 72H528C572 125 688 224 688 364C688 546 558 665 384 665C212 665 77 541 77 361C77 221 188 124 239 72H150C110 72 97 80 73 147L46 146L63 0H307L314 18C284 71 178 203 178 360C178 529 256 631 383 631C509 631 588 523 588 363C588 197 485 67 453 18L458 0H701L719 146Z" id="g113-153"></path> </g> <g transform="matrix(.013,0,0,-0.013,13.473,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.736,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.247,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.088,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.034,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="49.1271838 -9.28833 18.427 12.5794" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,49.177,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.32,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.464,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.64,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="69.7331838 -9.28833 17.98 12.5794" width="17.98pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,69.783,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.624,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.799,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="89.8921838 -9.28833 18.427 12.5794" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,89.942,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,95.085,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.228,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,105.405,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span><span class="nowrap"> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="110.4981838 -9.28833 47.748 12.5794" width="47.748pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,110.548,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,120.389,3.132)"> <use xlink:href="#g50-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.669,0)"> <use xlink:href="#g113-126"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.812,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,148.075,0)"> <path d="M488 658H270V630C328 626 335 619 335 579C217 574 44 509 44 330C44 147 221 88 335 86C335 38 328 32 265 28V0H488V28C425 32 418 38 418 86C534 88 710 153 710 337C710 517 538 575 418 579C418 619 425 626 488 630V658ZM335 118C249 124 136 180 136 337C136 490 251 543 335 547V118ZM418 547C502 543 618 491 618 333S503 124 418 118V547Z" id="g113-150"></path> </g> </svg>．据/年代pan></span></span></span><span class="list-item"><span class="list-label">（2）据/年代pan><span class="list-content">对于每个D2D组据年代vg height="11.927pt" id="M41" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 39.3533 11.927" width="39.3533pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.7,0)"> <use xlink:href="#g117-173"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.196,0)"> <use xlink:href="#g113-69"></use> </g> </svg>和每个蜂窝用户据年代pan class="nowrap"> <svg height="12.0444pt" id="M42" style="vertical-align:-3.29106pt" version="1.1" viewbox="-0.0498162 -8.75334 58.6668 12.0444" width="58.6668pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.645,0)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.281,3.132)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.764,0)"> <use xlink:href="#g117-173"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.26,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.905,0)"> <use xlink:href="#g190-86"></use> </g> </svg>那据/年代pan>计算据年代vg height="13.8999pt" id="M43" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 40.904 13.8999" width="40.904pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.005,0)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.438,0)"> <use xlink:href="#g190-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.097,0)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.277,-5.741)"> <use xlink:href="#g50-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.277,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,35.602,3.784)"> <use xlink:href="#g50-111"></use> </g> </svg>与方程(据a href="#EEq1">1据/a>）.据/年代pan></span><span class="list-item"><span class="list-label">（3）据/年代pan><span class="list-content">如果据年代pan class="nowrap"> <svg height="16.2017pt" id="M44" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2582 69.8974 16.2017" width="69.8974pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.005,0)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.438,0)"> <use xlink:href="#g190-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.097,0)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.277,-5.741)"> <use xlink:href="#g50-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.277,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,35.602,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.436,0)"> <use xlink:href="#g117-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.699,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.187,-5.741)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.427,-5.741)"> <path d="M509 90L493 118C465 91 427 70 418 70S409 77 415 103L469 327C494 429 466 451 436 451C412 451 387 444 356 427C307 400 222 342 160 264H158L246 667C253 701 252 710 243 710C228 710 169 680 87 673L83 644H117C155 644 160 640 149 588L24 -4L32 -12C57 -4 86 4 108 9L143 187C198 275 324 386 375 386C394 386 399 367 385 311L331 87C315 22 322 -12 351 -12C387 -12 452 24 509 90Z" id="g50-105"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,60.6,3.784)"> <use xlink:href="#g50-100"></use> </g> </svg>那据/年代pan>把铜据年代ub><i>米据/i></sub>成据年代pan class="nowrap"> <svg height="11.927pt" id="M45" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 15.1523 11.927" width="15.1523pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.841,3.132)"> <use xlink:href="#g50-111"></use> </g> </svg>：据/年代pan><span class="nowrap"> <svg height="12.5794pt" id="M46" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 93.7871 12.5794" width="93.7871pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.841,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.648,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.91,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.752,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.832,0)"> <path d="M535 194V548H477V194C477 102 391 35 294 35S111 102 111 194V548H53V194C53 72 166 -15 294 -15S535 72 535 194Z" id="g117-59"></path> </g> <g transform="matrix(.013,0,0,-0.013,58.368,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.879,0)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.524,0)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.161,3.132)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.012,0)"> <use xlink:href="#g113-126"></use> </g> </svg>那据/年代pan>计算最优据年代vg height="16.5945pt" id="M47" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -11.5914 25.4568 16.5945" width="25.4568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.58,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.652,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>有方程式（据a href="#EEq23">23据/a>）或者（据a href="#EEq24">24据/a>),计算据年代vg height="17.2613pt" id="M48" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>与方程(据a href="#EEq13">13据/a>）.别的，据年代pan class="nowrap"> <svg height="17.2613pt" id="M49" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 44.6302 17.2613" width="44.6302pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.943,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.206,0)"> <use xlink:href="#g113-49"></use> </g> </svg>．据/年代pan></span></span><span class="list-item"><span class="list-label">（4）据/年代pan><span class="list-content">取据年代vg height="17.2613pt" id="M50" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>作为重量据i>D.据/i><sub><i>n据/i></sub>和铜据年代ub><i>米据/i></sub>，使用KM算法[据a href="#EEq17">21据/a>]实现D2D组和蜂窝用户通道的最佳匹配，以及信道分配矩阵据i>X据/i>得到了。据/年代pan></span><span class="list-item"><span class="list-label">(5）据/年代pan><span class="list-content">如果候选蜂窝用户集据i>D.据/i><sub><i>n据/i></sub>是据年代pan class="nowrap"> <svg height="12.5794pt" id="M51" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 43.2027 12.5794" width="43.2027pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M162 -163V703H101V-163H162Z" id="g113-9"></path> </g> <g transform="matrix(.013,0,0,-0.013,3.419,0)"> <use xlink:href="#g113-153"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.26,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.435,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.486,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.748,0)"> <use xlink:href="#g113-49"></use> </g> </svg>那据/年代pan>没有蜂窝用户的信道，可以通过重复使用据i>D.据/i><sub><i>n据/i></sub>，也就是说，对于任何据i>米据/i>那据i>x据/i><sub><i>纳米据/i></sub>= 0。据/年代pan></span><span class="list-item"><span class="list-label">（6)据/年代pan><span class="list-content">更新据i>X据/i>和算法结束。据/年代pan></span></span></p> <h6 id="sec3.1.3">3.1.3。优化DTS的力量据/h6.> <p>在前一节中，我们已经将通道分配给D2D组。假设据i>D.据/i><sub><i>n据/i></sub>CU多路复用信道据年代ub><i>米据/i></sub>和优化问题的子问题据i>P.据/i>1关于的发送功率据i>D.据/i><sub><i>n据/i></sub>在据i>K.据/i>时代由下式给出据年代pan class="equation_break" id="EEq25"><span 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xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,239.05,12.258)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,247.07,6.517)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,245.7,16.042)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,250.36,16.042)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,257.69,16.042)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,259.84,16.042)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,265.04,12.258)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,275.29,15.39)"> <use xlink:href="#g50-53"></use> </g> <rect height="0.65243" width="41.2516" x="239.05" y="19.169"></rect> <g transform="matrix(.013,0,0,-0.013,252.06,32.048)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,262.3,35.18)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,281.49,22.822)"> <use xlink:href="#g119-174"></use> </g> <g transform="matrix(.013,0,0,-0.013,291.11,22.822)"> <use xlink:href="#g119-174"></use> </g> </g> </svg> <svg height="60.7859pt" id="M52-3" version="1.1" viewbox="0 0 14.664 60.7859" width="14.664pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B52-3"> <g transform="matrix(.013,0,0,-0.013,0,56.821)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.78,56.821)"> <use xlink:href="#g190-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.74,56.821)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.7,56.821)"> <use xlink:href="#g190-47"></use> </g> </g> </svg> <svg height="60.7859pt" id="M52-4" version="1.1" viewbox="0 0 49.324 60.7859" width="49.324pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B52-4"> <g transform="matrix(.013,0,0,-0.013,0,57.004)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.52,56.821)"> <path d="M244 635C114 635 38 519 38 422C38 317 111 240 217 240C236 240 255 244 277 256L345 292C311 140 203 39 59 15L64 -15C89 -15 150 -5 204 17C339 72 440 202 440 386C440 521 368 635 244 635ZM228 602C326 602 352 479 352 390C352 370 351 347 348 324C327 308 293 296 258 296C174 296 124 369 124 458C124 517 152 602 228 602Z" id="g113-58"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.76,57.004)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.47,56.821)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g190-45"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.63,57.004)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.14,56.821)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.38,56.821)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.62,57.004)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.36,56.821)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="98.261pt" id="I52" version="1.1" viewbox="0 0 314.35 98.261" width="314.35pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -10.04)" xlink:href="#B52-1"></use> <use transform="matrix(1 0 0 1 13.59 37.6)" xlink:href="#B52-2"></use> <use transform="matrix(1 0 0 1 0 37.48)" xlink:href="#B52-3"></use> <use transform="matrix(1 0 0 1 26.86 37.48)" xlink:href="#B52-4"></use> </svg></span></span><span class="right_break" id="R52"> <svg class="label" height="11.44pt" id="M52-5" version="1.1" viewbox="0 0 21.078 11.44" width="21.078pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B52-5"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.68,9.26)"> <use xlink:href="#g190-161"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.58,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="98.261pt" id="IL52" version="1.1" viewbox="0 0 21.16 98.261" width="21.16pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 43.2)" xlink:href="#B52-5"></use> </svg></span></span></p> <p>方程的一阶偏导数(据a href="#EEq25">25据/a>）和据年代vg height="17.2613pt" id="M53" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 26.1223 17.2613" width="26.1223pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>如下:据年代pan class="equation_break" id="EEq26"><span class="left_break" id="L54"></span><span class="middle_break"><span class="center_break" id="M54"> <svg height="41.0988pt" id="M54-1" version="1.1" viewbox="0 0 69.449 41.0988" width="69.449pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B54-1"> <g transform="matrix(.013,0,0,-0.013,0,12.485)"> <use xlink:href="#g113-222"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.42,12.485)"> <use xlink:href="#g113-68"></use> </g> <g 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xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B54-1"></use> <use transform="matrix(1 0 0 1 2.44 42.18)" xlink:href="#B54-2"></use> <use transform="matrix(1 0 0 1 16.64 85.65)" xlink:href="#B54-3"></use> </svg></span></span><span class="right_break" id="R54"> <svg class="label" height="11.44pt" id="M54-4" version="1.1" viewbox="0 0 21.478 11.44" width="21.478pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B54-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.54,9.26)"> <use xlink:href="#g190-227"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.98,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="126.749pt" id="IL54" version="1.1" viewbox="0 0 21.56 126.749" width="21.56pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 57.44)" xlink:href="#B54-4"></use> </svg></span></span></p> <p>在方程式的所有参数（据a href="#EEq26">26据/a>）是正的，所以目标函数是在可行域的单调递增函数。为了最大限度地提高据年代pan class="nowrap"> <svg height="17.2613pt" id="M55" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>那据/年代pan>所有的能量都聚集在据i>K.据/i>时代应该被用完。当获得的最大值，以下定理被应用。据/p> <p><span class="statement" id="thm1"><span class="statement-title">定理1。据/年代pan><i>时的最大值据年代vg height="17.2613pt" id="M56" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>时，DT据年代ub><i>n据/i></sub>的时代据i>k据/i>(1≤据i>k据/i> < 据i>K.据/i>）不仅仅是下一个时代中的传输功率。也就是说，传输功率据i>D.据/i><sub><i>n据/i></sub>满足据年代vg height="17.2613pt" id="M57" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 77.0976 17.2613" width="77.0976pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-93"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.919,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.548,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.208,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.534,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.69,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.322,3.784)"> <path d="M556 236V289H337V504H275V289H56V236H275V-4H337V236H556Z" id="g54-36"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,71.882,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>对于任何时代据i>k据/i>(1≤据i>k据/i> < 据i>K.据/i>）.据/i></span></p> <p>证明见附件。据/p> <p>根据定理据a href="#thm1">1据/a>根据功率分配系数和信道分配的优化结果，提出了一种离线信道分配和功率控制算法。具体步骤在算法中进行了总结据a href="//www.newsama.com/journals/misy/2020/4062487/alg1/" target="_blank">1据/a>．据/p> <div class="floats-partial-section partial-other-wrapper" data-section="alg1"> <div class="floats-partial-content fig-content-alg1"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg1"> <tbody> <tr> <td></td> <td><b>输入据/b>：历元的数目据i>K.据/i>，时代的长度据年代pan class="nowrap"> <svg height="9.25202pt" id="M58" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 9.90673 9.25202" width="9.90673pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.434,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 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324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z"></path> </g> </svg>那据/年代pan><i>P.据/i><sub>BS.据/年代ub>那据年代pan class="nowrap"> <svg height="16.2154pt" id="M60" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M393 379C402 394 400 411 393 422C384 437 365 448 348 448C301 448 237 372 186 285H182L193 335C210 408 205 448 178 448C150 448 80 402 29 344L45 321C80 355 114 373 122 373C128 373 130 365 124 330C106 228 76 98 50 -5L57 -12C82 -5 112 3 132 6L172 203C196 256 234 304 254 329C275 355 293 367 306 367C318 367 330 360 342 348C347 343 355 343 365 350S386 367 393 379Z"></path> </g> <g 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70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> </svg>那据/年代pan><span class="nowrap"> <svg height="16.2154pt" id="M61" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M393 379C402 394 400 411 393 422C384 437 365 448 348 448C301 448 237 372 186 285H182L193 335C210 408 205 448 178 448C150 448 80 402 29 344L45 321C80 355 114 373 122 373C128 373 130 365 124 330C106 228 76 98 50 -5L57 -12C82 -5 112 3 132 6L172 203C196 256 234 304 254 329C275 355 293 367 306 367C318 367 330 360 342 348C347 343 355 343 365 350S386 367 393 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 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height="17.2613pt" id="M63" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 26.1223 17.2613" width="26.1223pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 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<path d="M781 91L765 118C733 86 702 70 693 70C686 70 685 77 692 106L738 297C772 439 736 451 712 451S675 445 647 431C605 410 526 356 452 257H450L459 294C491 426 459 451 429 451C403 451 386 445 361 431C312 404 239 343 170 253H168L188 333C208 411 205 451 175 451C148 451 85 417 24 346L39 318C57 338 100 374 112 374C120 374 122 372 115 339C91 226 62 112 28 -6L37 -12C59 -4 87 3 114 6C125 68 142 127 154 168C184 227 316 383 372 383C397 383 396 366 381 289C362 192 338 92 312 -6L317 -12C339 -5 367 3 396 6L434 170C468 234 598 383 650 383C668 383 676 369 664 319L609 90C593 23 600 -12 629 -12C654 -12 722 23 781 91Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,17.978,3.784)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,20.135,3.784)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 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class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 离线信道分配和功率控制算法。据/D.iv> </div> </div> <h5 id="sec3.2">3.2。在线功率分配优化算法据/h5.> <p>在部分据a href="#sec3.1">3.1据/a>，我们假设在信号传输之前已知所有时期的能量分布。获得DTS的离线最佳传输功率和D2D组中的两个接收器的离线功率分配因子。然而，在真实的场景中，只有在这一点中收获的能量并在该时期之前在时期是已知的据i>k据/i>，以及纪元后的能量分布据i>k据/i>是未知的。在本节中，提出了一种在线功率分配优化算法，即，神经网络用于优化DTS的传输功率。然后，获得D2D组中的两个接收器的功率分配因子。据/p> <p>神经网络模拟人脑，它具有较强的适应能力和学习能力的工作方法。监督神经网络要求训练数据集的大量已知的输入矢量和相应的输出向量组成。通过学习获得的输入矢量和输出矢量之间的非线性映射关系。神经网络学习完成后，相应的输出向量可以根据神经网络时输入的输入向量的数学模型来计算。由于时代后所收集的能量据i>k据/i>是未知的，无法确定是否存储能源以供以后的时期最大化D2D组在总传输时间中的容量据i>T.据/i>．通过学习离线优化算法的训练数据集，神经网络可以得到输入向量与传输功率之间的数学模型。然后，求出在线最优传输功率据年代vg height="17.9815pt" id="M71" style="vertical-align:-5.723301pt" version="1.1" viewbox="-0.0498162 -12.2582 31.0913 17.9815" width="31.0913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use 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<p>神经网络模型采用多层前馈网络。它是监督学习和由输入层，隐藏层和输出层组成。在培训过程中，计算神经网络生成的输出与实际输出之间的误差。同时，通过调整神经网络的权重向量来最小化误差[据a href="#B22">22据/a>］．在本文中，均方误差（MSE）最小化：据年代pan class="equation_break" id="EEq27"><span class="left_break" id="L72"></span><span class="middle_break"><span class="center_break" id="M72"> <svg height="35.0402pt" id="M72-1" version="1.1" viewbox="0 0 161.704 35.0402" width="161.704pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-1"> <g transform="matrix(.013,0,0,-0.013,0,16.857)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z" id="g190-78"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.58,16.857)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.59,16.857)"> <path 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transform="matrix(.013,0,0,-0.013,131.01,28.914)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.04,28.914)"> <use xlink:href="#g113-114"></use> </g> <g transform="matrix(.013,0,0,-0.013,142.42,28.914)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,147.47,28.914)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,152.56,21.613)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,158.74,16.857)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg class="alt_equation" height="35.0402pt" id="I72" version="1.1" viewbox="0 0 161.7 35.0402" width="161.7pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B72-1"></use> </svg></span></span><span class="right_break" id="R72"> <svg class="label" height="11.44pt" id="M72-2" version="1.1" viewbox="0 0 21.158 11.44" width="21.158pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.63,9.26)"> <use xlink:href="#g190-223"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.66,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="35.0402pt" id="IL72" version="1.1" viewbox="0 0 21.23 35.0402" width="21.23pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 11.59)" xlink:href="#B72-2"></use> </svg></span></span>在哪里据i>问：据/i>代表时代,据i>y据/i>（据i>问据/i>)表示神经网络的输出，和据i>t据/i>（据i>问据/i>）是实际的输出。据/p> <p>当一些最小均方误差的参数时，最大迭代epoch，最小梯度和最大确认失败时间达到设定值，培训过程结束。据/p> <p>在本文中，考虑了双层前馈网络。也就是说，隐藏层的数量是一个，因为具有单个隐藏层的神经网络足以近似任何功能和任何给定精度[据a href="#B23">23据/a>］．MATLAB神经网络工具箱中的培训神经网络有四个后传播（BP）算法，即弹性BP算法（TRAINRP），共轭梯度BP算法（TRATECGF），梯度下降BP算法（TRAINGD）和Levenberg-Marquardt BP算法（trainlm）。考虑到训练神经网络的收敛时代，收敛时间和MSE，选择TrainLM算法以在测试后训练神经网络。表中显示了不同训练算法的性能据a href="//www.newsama.com/journals/misy/2020/4062487/tab1/" target="_blank">1据/a>．据/p> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="4"> <hr></td> </tr> <tr class="thead"> <td class="align_left">训练算法据/tD.> <td class="align_center">时代据/tD.> <td class="align_center">收敛时间(年代)据/tD.> <td class="align_center">MSE据/tD.> </tr> <tr> <td class="thead-hr" colspan="4"> <hr></td> </tr> <tr> <td class="align_left">trainrp据/tD.> <td class="align_center">271据/tD.> <td class="align_center">17据/tD.> <td class="align_center">0.000143据/tD.> </tr> <tr> <td class="align_left">TrainCGF.据/tD.> <td class="align_center">286据/tD.> <td class="align_center">70据/tD.> <td class="align_center">0.000135据/tD.> </tr> <tr> <td class="align_left">traingd据/tD.> <td class="align_center">1500据/tD.> <td class="align_center">102据/tD.> <td class="align_center">0.000819据/tD.> </tr> <tr> <td class="align_left">trainlm据/tD.> <td class="align_center">38据/tD.> <td class="align_center">12据/tD.> <td class="align_center">0.000134据/tD.> </tr> <tr class="table-tr"> <td colspan="4"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 不同训练算法的性能。据/D.iv> </div> </div> <p>此外，考虑到神经网络结构的MSE和复杂性，采用TrainLM算法培训神经网络，在测试后将隐藏层神经元的数量设定为4。数字据a href="//www.newsama.com/journals/misy/2020/4062487/fig3/" target="_blank">3.据/a>显示了MSE随隐层神经元数量的变化。据/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="4062487.fig.003" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.003.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> MSE随隐层神经元数量的增加而变化。据/D.iv> </div> </div> <p>神经网络的具体结构示于图据a href="//www.newsama.com/journals/misy/2020/4062487/fig4/" target="_blank">4.据/a>．输入向量由据i>h据/i><sub><i>n据/i>，1据/年代ub>那据i>h据/i><sub><i>n据/i>，2据/年代ub>那据i>h据/i><sub><i>Bn据/i>，1据/年代ub>那据i>h据/i><sub><i>Bn据/i>，2据/年代ub>那据年代pan class="nowrap"> <svg height="14.8545pt" id="M73" style="vertical-align:-5.00315pt" version="1.1" viewbox="-0.0498162 -9.85135 24.2733 14.8545" width="24.2733pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.302,-5.741)"> <path d="M518 50L491 51C452 54 444 60 444 110V444C429 441 405 437 377 434C348 430 314 427 287 426V403L323 397C356 392 365 386 365 333V99C331 66 293 51 257 51C212 51 169 75 169 164V299C169 366 169 413 172 444C156 441 128 437 101 433C75 430 50 427 29 426V403L57 397C82 391 90 386 90 333V137C90 29 147 -12 214 -12C241 -12 262 -4 291 13S342 48 365 65V-6L371 -12C390 -7 415 1 441 8C468 15 496 21 518 24V50Z" id="g190-118"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,16.134,-5.741)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g190-110"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.943,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.602,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.759,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan><span class="nowrap"> <svg height="14.8545pt" id="M74" style="vertical-align:-5.00315pt" version="1.1" viewbox="-0.0498162 -9.85135 25.3237 14.8545" width="25.3237pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"> <path d="M390 111C344 68 312 56 269 56C212 56 118 102 118 241C118 346 175 401 241 401C277 401 312 388 342 360C350 352 355 349 361 349C372 349 394 371 394 392C394 403 391 411 378 422C362 436 329 449 288 449H287C250 449 190 432 138 392C71 341 37 274 37 197C37 90 112 -12 238 -12C297 -12 363 32 407 90L390 111Z" id="g190-100"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,11.858,-5.741)"> <use xlink:href="#g190-112"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.389,-5.741)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.294,-5.741)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.943,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.602,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.759,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan>和据i>E.据/i><sub><i>n据/i>那据i>k据/i></sub>，输出为在线传输功率据年代pan class="nowrap"> <svg height="17.9815pt" id="M75" style="vertical-align:-5.723301pt" version="1.1" viewbox="-0.0498162 -12.2582 31.0913 17.9815" width="31.0913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.159,-5.741)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.315,-5.741)"> <use xlink:href="#g190-112"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,19.847,-5.741)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,24.86,-5.741)"> <use xlink:href="#g50-43"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,4.504)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,4.504)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,4.504)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,4.504)"> <use xlink:href="#g50-108"></use> </g> </svg>那据/年代pan>在哪里据年代vg height="17.9138pt" id="M76" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.9107 84.8208 17.9138" width="84.8208pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.302,-5.741)"> <use xlink:href="#g190-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.134,-5.741)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.943,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.602,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.759,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.776,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.039,.007)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.825,-6.394)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.457,-6.394)"> <path d="M556 236V289H56V236H556Z" id="g54-33"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,59.017,-6.394)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.825,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.983,3.784)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.543,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.181,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.124,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.783,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.94,3.132)"> <use xlink:href="#g50-117"></use> </g> </svg>表示收集的总能量据i>k据/i>−1纪元之前的纪元据i>k据/i>和据年代vg height="17.9138pt" id="M77" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.9107 101.739 17.9138" width="101.739pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.858,-5.741)"> <use xlink:href="#g190-112"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.389,-5.741)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.294,-5.741)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.943,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.602,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.759,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.826,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.089,.007)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.876,-6.394)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.508,-6.394)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.068,-6.394)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.876,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.034,3.784)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.594,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.231,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.665,3.132)"> <use xlink:href="#g50-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.018,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.044,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,90.177,-5.741)"> <use xlink:href="#g50-43"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.674,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,88.333,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,95.659,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.816,3.784)"> <use xlink:href="#g50-117"></use> </g> </svg>代表了所消耗的总能量据i>k据/i>−1纪元之前的纪元据i>k据/i>．训练前，对输入参数进行归一化处理。归一化可以保证每个输入参数在神经网络中提供相同的影响，使训练过程更加稳定，收敛速度更快。据/p> <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="4062487.fig.004" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.004.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 两层前馈神经网络模型。据/D.iv> </div> </div> <p>离线时，通过算法进行功率分配据a href="//www.newsama.com/journals/misy/2020/4062487/alg1/" target="_blank">1据/a>，可以得到训练神经网络所需的输入向量和输出向量。通过训练神经网络，得到了使D2D群总容量最大化的优化模型。通过优化模型可以确定当前的在线传输功率。在线功率分配优化算法如算法所示据a href="//www.newsama.com/journals/misy/2020/4062487/alg2/" target="_blank">2据/a>．据/p> <div class="floats-partial-section partial-other-wrapper" data-section="alg2"> <div class="floats-partial-content fig-content-alg2"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg2"> <tbody> <tr> <td></td> <td><b>输入据/b>:通道分配矩阵据i>X据/i>，纪元的数目据i>K.据/i>，时代的长度据年代pan class="nowrap"> <svg height="9.25202pt" id="M78" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 9.90673 9.25202" width="9.90673pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.434,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> </svg>那据/年代pan><i>h据/i><sub><i>n据/i>，1据/年代ub>那据i>h据/i><sub><i>n据/i>，2据/年代ub>那据i>h据/i><sub><i>Bn据/i>，1据/年代ub>那据i>h据/i><sub><i>Bn据/i>，2据/年代ub>，所收集的能量据i>E.据/i><sub><i>n据/i>那据i>k据/i></sub>那据年代pan class="nowrap"> <svg height="16.2063pt" id="M79" style="vertical-align:-3.948101pt" version="1.1" viewbox="-0.0498162 -12.2582 23.373 16.2063" width="23.373pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <path d="M810 0V30C751 35 744 40 744 106V296C744 396 694 451 614 451C583 451 558 438 537 425C512 409 485 391 454 368C434 420 390 451 342 451C309 451 285 439 260 424C228 405 206 387 185 372V453C141 434 90 421 43 413V386C102 378 105 373 105 309V106C105 41 96 35 29 30V0H243V30C194 35 185 41 185 106V335C216 360 256 389 297 389C357 389 384 348 384 275V106C384 41 374 35 312 30V0H530V30C475 35 465 41 465 104V294C465 313 464 324 463 336C502 367 539 389 576 389C637 389 663 346 663 274V109C663 41 653 35 593 30V0H810Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,14.218,3.784)"> <path d="M442 39L431 68C420 63 406 57 394 57C377 57 359 71 359 118V301C359 353 349 393 314 424C291 443 261 451 230 451C171 438 107 401 79 381C59 366 46 355 46 340C46 316 72 295 91 295C106 295 117 303 122 319C131 350 139 371 152 384C163 397 178 404 197 404C246 404 281 365 281 293V278C260 262 186 232 124 213C69 194 41 161 41 112C41 47 92 -12 163 -12C195 -12 243 25 283 51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,18.304,3.784)"> <path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z"></path> </g> </svg>那据/年代pan><i>P.据/i><sub>BS.据/年代ub>那据年代pan class="nowrap"> <svg height="16.2154pt" id="M80" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M393 379C402 394 400 411 393 422C384 437 365 448 348 448C301 448 237 372 186 285H182L193 335C210 408 205 448 178 448C150 448 80 402 29 344L45 321C80 355 114 373 122 373C128 373 130 365 124 330C106 228 76 98 50 -5L57 -12C82 -5 112 3 132 6L172 203C196 256 234 304 254 329C275 355 293 367 306 367C318 367 330 360 342 348C347 343 355 343 365 350S386 367 393 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <path d="M513 0V26C455 31 447 37 447 103V278C447 398 390 449 309 449C255 449 202 412 166 376V712C127 700 67 684 19 677V653C85 647 87 643 87 580V103C87 37 79 31 19 26L18 0H231V26C171 32 166 39 166 103V341C194 373 232 392 270 392C337 392 368 351 368 269V103C368 38 360 32 302 26V0H513Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> </svg>那据/年代pan>和据年代pan class="nowrap"> <svg height="11.7978pt" id="M81" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 12.4186 11.7978" width="12.4186pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.347,-5.741)"> <path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path> </g> </svg>．据/年代pan></td> </tr> <tr> <td></td> <td><b>输出据/b>:在线传输功率据年代vg height="17.9815pt" id="M82" style="vertical-align:-5.723301pt" version="1.1" viewbox="-0.0498162 -12.2582 31.0913 17.9815" width="31.0913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 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target="_blank">2据/a>，在线功率分配优化算法的复杂性为据i>O.据/i>（据i>LK.据/i>），在哪里据i>L.据/i>= min (据i>N据/i>那据i>m据/i>)表示用于D2D通信的D2D组的数量和据i>K.据/i>表示历元的总数量。在 [据a href="#B18">18据/a>]，功率分配算法采用二分法优化两个嵌套循环中的拉格朗日乘子。因此，复杂性是据i>O.据/i>（据i>LK.据/i>日志据i>n据/i>），在哪里据i>n据/i>表示两种二分法间隔中元素数量的产物。据/p> <h4 id="simulation-results-and-analysis">4.仿真结果与分析据/h4.> <p>在本节中，我们介绍了所提出的离线和在线算法的仿真结果。DT和DR之间的距离Rd的影响，D2D组的数量据i>N据/i>时，能量到达分布的最大值据i>E.据/i><sub>最大限度据/年代ub>，以及Cu的SINR阈值据年代vg height="16.2154pt" id="M92" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <use 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182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z" id="g113-104"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,58.258,3.132)"> <path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,63.205,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.624,-5.741)"> <use xlink:href="#g50-51"></use> </g> </svg>那据/年代pan>在哪里据i>β据/i>和据i>α,据/i>分别为路径损耗常数和路径损耗指数，据i>D.据/i>是发射器和接收器之间的距离，以及据年代vg height="15.0208pt" id="M94" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -11.5914 23.9546 15.0208" width="23.9546pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,3.419,0)"> <use xlink:href="#g113-104"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.491,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.437,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.856,-5.741)"> <use xlink:href="#g50-51"></use> </g> </svg>表示服从单位均值指数分布的瑞利衰落[据a href="#B24">24据/a>］．其他仿真参数及其具体值见表据a href="//www.newsama.com/journals/misy/2020/4062487/tab2/" target="_blank">2据/a>．据/p> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-content fig-content-tab2"> <table class="table-group" id="tab2"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="2"> <hr></td> </tr> <tr class="thead"> <td class="align_left">参数据/tD.> <td class="align_center">价值据/tD.> </tr> <tr> <td class="thead-hr" colspan="2"> <hr></td> </tr> <tr> <td class="align_left">细胞半径据i>R.据/i>（m）据/tD.> <td class="align_center">500据/tD.> </tr> <tr> <td class="align_left">蜂窝用户数量据i>m据/i></td> <td class="align_center">4.据/tD.> </tr> <tr> <td class="align_left">BS传输功率据i>P.据/i><sub>BS.据/年代ub>（DBM）据/tD.> <td class="align_center">24据/tD.> </tr> <tr> <td class="align_left">DT的最大传输功率据年代vg height="16.2063pt" id="M95" style="vertical-align:-3.948101pt" version="1.1" viewbox="-0.0498162 -12.2582 23.373 16.2063" width="23.373pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <path d="M810 0V30C751 35 744 40 744 106V296C744 396 694 451 614 451C583 451 558 438 537 425C512 409 485 391 454 368C434 420 390 451 342 451C309 451 285 439 260 424C228 405 206 387 185 372V453C141 434 90 421 43 413V386C102 378 105 373 105 309V106C105 41 96 35 29 30V0H243V30C194 35 185 41 185 106V335C216 360 256 389 297 389C357 389 384 348 384 275V106C384 41 374 35 312 30V0H530V30C475 35 465 41 465 104V294C465 313 464 324 463 336C502 367 539 389 576 389C637 389 663 346 663 274V109C663 41 653 35 593 30V0H810Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,14.218,3.784)"> <path d="M442 39L431 68C420 63 406 57 394 57C377 57 359 71 359 118V301C359 353 349 393 314 424C291 443 261 451 230 451C171 438 107 401 79 381C59 366 46 355 46 340C46 316 72 295 91 295C106 295 117 303 122 319C131 350 139 371 152 384C163 397 178 404 197 404C246 404 281 365 281 293V278C260 262 186 232 124 213C69 194 41 161 41 112C41 47 92 -12 163 -12C195 -12 243 25 283 51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,18.304,3.784)"> <path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z"></path> </g> </svg>（DBM）据/tD.> <td class="align_center">21据/tD.> </tr> <tr> <td class="align_left">噪声功率据年代vg height="11.7978pt" id="M96" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 12.4186 11.7978" width="12.4186pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.347,-5.741)"> <path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path> </g> </svg>（DBM）据/tD.> <td class="align_center">-114据/tD.> </tr> <tr> <td class="align_left">时代的长度据年代vg height="9.25202pt" id="M97" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 9.90673 9.25202" width="9.90673pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.434,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> </svg>（s）据/tD.> <td class="align_center">0．5据/tD.> </tr> <tr> <td class="align_left">时间据i>T.据/i>（s）据/tD.> <td class="align_center">10据/tD.> </tr> <tr> <td class="align_left">路径损耗不变据i>β据/i></td> <td class="align_center">0．01据/tD.> </tr> <tr> <td class="align_left">路径损耗指数据i>α据/i></td> <td class="align_center">3.据/tD.> </tr> <tr class="table-tr"> <td colspan="2"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 仿真参数。据/D.iv> </div> </div> <p>数字据a href="//www.newsama.com/journals/misy/2020/4062487/fig5/" target="_blank">5.据/a>显示DT和DR之间的不同距离对D2D组总容量的影响。在模拟中，假设细胞中有4个D2D组，能量到达分布的最大值据i>E.据/i><sub>最大限度据/年代ub>为80 mJ, CU据年代vg height="16.2154pt" id="M98" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <use xlink:href="#g50-100"></use> </g> </svg>是2 dB。从图中，我们可以看出D2D组的总容量随着DT和DR之间的距离增加而降低。这是因为信道增益随着DT和DR之间的距离而减小，这导致D2D组总容量的降低。同时，所提出的算法优于[据a href="#B18">18据/a>]，由于所提出的功率分配算法花费的整个时间所收集的能量据i>T.据/i>要考虑进去。Gupta等人的研究[据a href="#B18">18据/a>]采用二分查找法优化某一时段的传输功率，在确定二值区间时忽略当前历元之后的能量到达。据/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="4062487.fig.005" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.005.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 不同Rd的D2D组的总容量。据/D.iv> </div> </div> <p>数字据a href="//www.newsama.com/journals/misy/2020/4062487/fig6/" target="_blank">6.据/a>表示随着D2D组数量的增加，D2D组的总容量。在模拟中，假设DT和DR之间的距离为20 m，即能量到达分布的最大值据i>E.据/i><sub>最大限度据/年代ub>为80 mJ, CU据年代vg height="16.2154pt" id="M99" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2719 13.8226 16.2154" width="13.8226pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.488,-5.741)"> <use xlink:href="#g190-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.318,-5.741)"> <use xlink:href="#g190-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.901,3.784)"> <use xlink:href="#g50-100"></use> </g> </svg>是2 dB。从数字中可以看出据a href="//www.newsama.com/journals/misy/2020/4062487/fig6/" target="_blank">6.据/a>，随着越来越多的D2D组，的D2D组增加总容量。这是因为当D2D组的数量小于蜂窝用户的数量，更D2D基团可以重用蜂窝用户的信道，用于与D2D组数的增加，其增加D2D基团的总容量的通信。当D2D基团的数目比蜂窝用户的数目越大，信道将被分配到D2D组具有更好的信道增益，增加D2D组的总容量。此外，本文所提出的网络功率分配优化算法可以实现离线功率分配算法性能的98.6％。这是因为离线算法可以实现与假设所有时代的收集能量可用的最佳功率分配。网上功率分配是无法发挥最大D2D组的总容量上的全部时间，因为当前时期之后所获取的能量是未知的。然而，由于神经网络的训练数据集是离线功率分配算法的最佳数据，在线算法的性能仅略低于脱机的算法。据/p> <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="4062487.fig.006" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.006.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 具有不同数量D2D组的D2D组的总容量。据/D.iv> </div> </div> <p>数字据a href="//www.newsama.com/journals/misy/2020/4062487/fig7/" target="_blank">7.据/a>显示了在Cu的不同SINR阈值下，能量到达分布的最大值对D2D组总容量的影响。在模拟中，我们假设单元中有4个D2D组，并且DT和DR之间的距离为20米。可以观察到，对于某个SINR阈值，随着能量到达分布的最大值的增加，D2D组的总容量增加。这是因为当能量到达分布的最大值增加时，每个时代的平均收获能量将增加。然后，在每个时代中，DT的平均发射功率增加，这导致D2D组总容量的增加。另外，对于某个SINR阈值，随着能量到达分布的最大值的增加，每个时代的DT的传输功率更接近预设的最大传输功率据年代pan class="nowrap"> <svg height="16.2063pt" id="M100" style="vertical-align:-3.948101pt" version="1.1" viewbox="-0.0498162 -12.2582 23.373 16.2063" width="23.373pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g58-107"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.218,3.784)"> <use xlink:href="#g58-95"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.304,3.784)"> <use xlink:href="#g58-118"></use> </g> </svg>．据/年代pan>这使得离线算法和在线算法之间的性能差异逐渐减小。从图中还可以看出，蜂窝用户SINR阈值为2db的D2D群组的总容量大于8db。这是由于蜂窝用户的SINR阈值增加，D2D组的候选蜂窝用户数量减少，甚至没有候选蜂窝用户。由于D2D组重用信道较少，甚至无法通信，导致D2D组的总容量降低。据/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="4062487.fig.007" src="https://static-01.hindawi.com/articles/misy/volume-2020/4062487/figures/4062487.fig.007.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7据/年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/misy/2020/4062487/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> D2D组的总容量不同据i>E.据/i> <sub>最大限度据/年代ub>．据/D.iv> </div> </div> <h4 id="conclusions">5.结论据/h4.> <p>本文假设DTs从周围环境获取能量，并使用NOMA技术同时向两个DRs发送信息。我们研究了为D2D群分配最优传输功率、功率分配因子和信道的问题。在满足用户QoS要求和能量因果约束的前提下，最大限度地提高D2D组的总容量。首先，在采集能量信息已知的前提下，提出了离线信道分配和功率控制算法;然后，以离线算法的最优传输功率作为输出矢量，以影响传输功率的系统参数作为输入矢量，组成训练数据集对神经网络进行训练，得到传输功率的优化模型。神经网络可以根据某一时点的系统参数，得到当前时点的最优传输功率。提出了一种考虑最大传输功率限制的在线功率分配优化算法。仿真结果表明，所提出的离线算法能有效提高D2D群的总容量，在线功率分配优化算法能逼近离线功率分配算法提供的上界。据/p> <h4 class="secapp" id="appendix">附录据/h4.> <h4 id="proof-of-theorem-1">定理1的证明据/h4.> <p>考虑到时代据i>k据/i>和时代据i>k据/i> + 1, the capacity sum of two epochs is据年代pan class="nowrap"> <svg height="17.2613pt" id="M101" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 168.913 17.2613" width="168.913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.197,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.46,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.144,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,42.277,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.079,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,41.738,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.895,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.772,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.27,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.296,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.926,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.585,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.911,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.067,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.267,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.671,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.207,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,108.892,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,114.024,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,108.826,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,113.486,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,115.642,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,123.519,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.017,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,136.043,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,134.673,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,139.332,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,146.658,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,148.815,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,153.447,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,159.007,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,164.044,0)"> <use xlink:href="#g113-42"></use> </g> </svg>那据/年代pan>在哪里据年代vg height="17.2613pt" id="M102" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 23.4435 17.2613" width="23.4435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.817,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.278,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.435,3.784)"> <use xlink:href="#g50-110"></use> </g> </svg>代表两个时代的容量总和，这是一个特例据i>K.据/i> = 2. Because the capacity of battery is large enough, when据年代pan class="nowrap"> <svg height="17.2613pt" id="M103" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 77.0976 17.2613" width="77.0976pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.919,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.548,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.208,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.534,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.69,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.322,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.882,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>那据/年代pan>时代的某种能量据i>k据/i>可以存储为时代据年代pan class="nowrap"> <svg height="9.63826pt" id="M104" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -9.28833 26.3971 9.63826" width="26.3971pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.445,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.981,0)"> <use xlink:href="#g113-50"></use> </g> </svg>那据/年代pan>两个时代的传输能力是据年代pan class="inline_break"> <svg height="17.2613pt" id="M105" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 132.846 17.2613" width="132.846pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.159,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.919,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.051,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.548,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.208,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.534,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.69,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.322,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.882,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.551,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,91.814,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.312,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.338,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.968,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,107.628,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,114.953,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,117.11,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,125.215,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span><span class="nowrap"> <svg height="17.2613pt" style="vertical-align:-5.003099pt" version="1.1" viewbox="135.7021838 -12.2582 52.483 17.2613" width="52.483pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,135.752,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,143.778,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,142.408,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,147.067,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,154.393,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,156.55,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,161.182,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,166.742,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,171.779,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,176.277,0)"> <path d="M368 703H309L44 -163H104L368 703Z" id="g113-48"></path> </g> <g transform="matrix(.013,0,0,-0.013,181.638,0)"> <use xlink:href="#g113-51"></use> </g> </svg>那据/年代pan></span>和两个时代的容量之和据年代pan class="inline_break"> <svg height="17.2613pt" id="M106" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 258.518 17.2613" width="258.518pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.197,0)"> <use xlink:href="#g117-34"></use> </g> <g 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transform="matrix(.013,0,0,-0.013,261.424,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,269.45,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,268.08,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,272.739,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,280.065,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,282.222,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,286.854,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,292.414,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,297.451,0)"> <use xlink:href="#g113-48"></use> </g> </svg><span class="isep"></span><span class="nowrap"> <svg height="17.2613pt" style="vertical-align:-5.003099pt" version="1.1" viewbox="302.7621838 -12.2582 15.876 17.2613" width="15.876pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,302.812,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,309.052,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,313.55,0)"> <use xlink:href="#g113-42"></use> </g> </svg>．据/年代pan></span>那么，让我们来证明一下据i>C据/i><sub>1据/年代ub> < 据i>C据/i><sub>2据/年代ub>：据年代pan class="equation_break" id="EEqA.1"><span class="left_break" id="L107"></span><span class="middle_break"><span class="center_break" id="M107"> <svg height="46.0879pt" id="M107-1" version="1.1" viewbox="0 0 362.729 46.0879" width="362.729pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B107-1"> <g transform="matrix(.013,0,0,-0.013,0,12.78)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.62,15.912)"> <use xlink:href="#g50-50"></use> </g> <g 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xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> </svg>小于据年代pan class="inline_break"> <svg height="17.2613pt" id="M116" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 41.032 17.2613" width="41.032pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.498,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.524,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.154,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.813,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.139,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,25.296,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.401,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="17.2613pt" style="vertical-align:-5.003099pt" version="1.1" viewbox="43.8881838 -12.2582 52.376 17.2613" width="52.376pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,43.938,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.964,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.594,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,55.253,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.579,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.735,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.368,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.928,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.965,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.463,0)"> <use xlink:href="#g113-48"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.824,0)"> <use xlink:href="#g113-51"></use> </g> </svg></span>由于据年代pan class="inline_break"> <svg height="17.2613pt" id="M117" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 81.925 17.2613" width="81.925pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.39,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.417,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.046,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,56.706,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.032,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.188,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.294,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span><span class="nowrap"> <svg height="17.2613pt" style="vertical-align:-5.003099pt" version="1.1" viewbox="84.7801838 -12.2582 52.43 17.2613" width="52.43pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,84.83,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,92.856,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.486,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,96.146,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,103.471,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,105.628,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,110.26,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,115.82,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.857,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,125.355,0)"> <use xlink:href="#g113-48"></use> </g> <g transform="matrix(.013,0,0,-0.013,130.716,0)"> <use xlink:href="#g113-51"></use> </g> </svg>那据/年代pan></span>也就是说，等式的右侧（据a href="#EEqA.2">A2据/a>)是消极的，因为据年代pan class="nowrap"> <svg height="17.2613pt" id="M118" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 96.8316 17.2613" width="96.8316pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.903,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.44,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.466,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.096,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.755,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.081,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.237,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.87,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,70.43,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.098,0)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.361,0)"> <use xlink:href="#g113-49"></use> </g> </svg>那据/年代pan>我们可以得到据i>C据/i><sub>1据/年代ub> < 据i>C据/i><sub>2据/年代ub>．据/p> <p>当据年代pan class="nowrap"> <svg height="17.2613pt" id="M119" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 77.0976 17.2613" width="77.0976pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.919,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.548,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.208,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.534,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.69,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.322,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.882,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>那据/年代pan>如果时代的能量据i>k据/i>存储的时代据i>k据/i>+ 1导致据年代pan class="nowrap"> <svg height="17.2613pt" id="M120" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 77.0976 17.2613" width="77.0976pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.026,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.159,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.315,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.641,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.798,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.63,0)"> <use xlink:href="#g117-91"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.892,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.919,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.051,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.548,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.208,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.534,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.69,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.322,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.882,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>那据/年代pan>也可以得出两个时代的能力据年代vg height="17.2613pt" id="M121" style="vertical-align:-5.003099pt" version="1.1" viewbox="-0.0498162 -12.2582 168.913 17.2613" width="168.913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.197,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.46,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.144,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,42.277,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.079,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,41.738,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.895,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.772,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.27,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.296,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.428,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.926,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.585,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.911,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.067,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.267,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.671,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.207,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,108.892,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,114.024,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,108.826,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,113.486,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,115.642,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,123.519,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.017,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,136.043,-5.741)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,141.176,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,134.673,3.784)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,139.332,3.784)"> <use xlink:href="#g50-110"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,146.658,3.784)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,148.815,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,153.447,3.784)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,159.007,3.784)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,164.044,0)"> <use xlink:href="#g113-42"></use> </g> </svg>小于据i>C据/i><sub>2据/年代ub>．因此，当时代的传输力量据i>k据/i>比时代大据i>k据/i>+ 1表示两个纪元的传输功率的平均值。当传力的时代据i>k据/i>不到时代据i>k据/i>+ 1时，由于能量因果关系的限制，两个纪元的传输功率不能被调整为它们的平均值。将两个时代延伸到据i>K.据/i>时代,定理据a href="#thm1">1据/a>是证明。据/p> <h4 id="data-availability">数据可用性据/h4.> <p>用于支持本研究结果的数据可根据要求可从相应的作者获得。据/p> <h4 id="conflicts-of-interest">的利益冲突据/h4.> <p>作者声明他们没有利益冲突。据/p> <h4 id="acknowledgments">致谢据/h4.> <p>国家自然科学基金资助项目(no . 61971239, no . 61631020)。关键词:岩石力学，有限元分析，数值模拟据/p> </div> <div class="xml-content"> <h4 class="references" id="references">参考文献据/h4.> <ol> <li id="B1">J. 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Zhu&publication_year=2017" target="_blank">谷歌学者据/a></span></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权据/h4.> <p>版权所有©2020娜苏等人。这是分布下的开放式访问文章据a rel="license" href="http://creativecommons.org/licenses/by/4.0/">创意公共归因许可证据/a>如果正确引用了原始工作，则允许在任何媒体中的不受限制使用，分发和再现。据/p> </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 kgAKHb hrTitleRef">更多相关文章据/h4.> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 kVscyQ"></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 dIjoCg sc-exkUMo hymroZ pdf_desktop 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src="data:image/svg+xml;base64,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" height="24"><span class="text">下载引用据/年代pan></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/misy/2020/4062487.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-kTUwUJ eujois" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">引用据/年代pan></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">下载其他格式据/年代pan><span class="sc-gkFcWv gWTCXQ">更多的据/年代pan></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/misy/2020/4062487.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-eAKXzc WHkfb"> ePub据/D.iv><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">订单印刷副本据/年代pan><span class="sc-gkFcWv gWTCXQ">订单据/年代pan></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> 的观点据年代pan>533.据/年代pan> </div> <div> 下载据年代pan>493据/年代pan> </div> </div> <div> <div class="sc-drKuOJ kxdGAZ"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2020/4062487" data-style="small_circle"></span>引用据/D.iv> </div> </div> <nav class="sc-bRBYWo fXBKFa sc-hUfwpO jHPgUP" id="toolbar__iconNav"> <h3 class="sc-Rmtcm hNPrIr">分享帖子据/h3.> <ul class="sc-hzDkRC bnbfTS"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2020/4062487&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" role="presentation" 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