{x(t)} , is the product of a slowly varying random window, {w(t)}, and a stationary random process, {g(t)}, is defined. A single realization of the process will be defined as x(t). This is slightly different from the usual definition of the product model where the window is typically defined as deterministic. An estimate of the energy (the zero order temporal moment, only in special cases is this physical energy) of the random process, {x(t)}, is defined as m0=∫∞∞|x(t)|2dt=∫−∞∞|w(t)g(t)|2dt Relationships for the mean and variance of the energy estimates, m0, are then developed. It is shown that for many cases the uncertainty (4π times the product of rms duration, D_t, and rms bandwidth, D_f) is approximately the inverse of the normalized variance of the energy. The uncertainty is a quantitative measure of the expected error in the energy estimate. If a transient has a significant random component, a small uncertainty parameter implies large error in the energy estimate. Attempts to resolve a time/frequency spectrum near the uncertainty limits of a transient with a significant random component will result in large errors in the spectral estimates."> 产品模型能量估计的方差gydF4y2Ba - raybet雷竞app,雷竞技官网下载,雷电竞下载苹果

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大卫·斯莫尔伍德gydF4y2Ba,gydF4y2Ba ”gydF4y2Ba产品模型能量估计的方差gydF4y2Ba”,gydF4y2Ba冲击和振动gydF4y2Ba,gydF4y2Ba 卷。gydF4y2Ba10gydF4y2Ba,gydF4y2Ba 文章的IDgydF4y2Ba219481年gydF4y2Ba,gydF4y2Ba 11gydF4y2Ba 页面gydF4y2Ba,gydF4y2Ba 2003年gydF4y2Ba。gydF4y2Ba https://doi.org/10.1155/2003/219481gydF4y2Ba

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一个产品模型,gydF4y2Ba {gydF4y2Ba xgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba }gydF4y2Ba 慢变的产物,随机的窗口,gydF4y2Ba {gydF4y2Ba wgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba }gydF4y2Ba 和平稳随机过程,gydF4y2Ba {gydF4y2Ba ggydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba }gydF4y2Ba ,定义。一个实现过程将被定义为gydF4y2Ba xgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba 。这与通常的定义略有不同的产品模型窗口通常定义为确定性。估计的能量(零阶时间的时刻,只有在特殊的情况下这是体力)的随机过程,gydF4y2Ba {gydF4y2Ba xgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba }gydF4y2Ba ,被定义为gydF4y2Ba 米gydF4y2Ba 0gydF4y2Ba =gydF4y2Ba ∫gydF4y2Ba ∞gydF4y2Ba ∞gydF4y2Ba |gydF4y2Ba xgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba |gydF4y2Ba 2gydF4y2Ba dgydF4y2Ba tgydF4y2Ba =gydF4y2Ba ∫gydF4y2Ba −gydF4y2Ba ∞gydF4y2Ba ∞gydF4y2Ba |gydF4y2Ba wgydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba ggydF4y2Ba (gydF4y2Ba tgydF4y2Ba )gydF4y2Ba |gydF4y2Ba 2gydF4y2Ba dgydF4y2Ba tgydF4y2Ba 能量关系的均值和方差的估计,gydF4y2Ba 米gydF4y2Ba 0gydF4y2Ba 那么发达。结果表明,在许多情况下,不确定性(4gydF4y2BaπgydF4y2Ba次rms持续时间的产物,gydF4y2BaDgydF4y2Ba_tgydF4y2Ba均方根带宽,gydF4y2BaDgydF4y2Ba_fgydF4y2Ba)大约是能量的归一化方差的倒数。预期的不确定性是一个定量测量误差估计的能量。如果一个瞬态有很大的随机组件,一个小的不确定性参数意味着大型能源估计的误差。试图解决时间/频率谱附近的不确定性限制瞬态的一个重要的随机组件将导致大的谱估计中的错误。gydF4y2Ba

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