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关于谐波随机过程的四阶平稳性与四阶遍历性的一个结果
引用本文:毛用才.关于谐波随机过程的四阶平稳性与四阶遍历性的一个结果[J].系统工程与电子技术,1995(8).
作者姓名:毛用才
作者单位:西安电子科技大学雷达信号处理实验室
摘    要:本文分析了由随机谐波构成的复信号的四阶矩之有限数据估计,得到了四阶平稳和四阶遍历的条件,给出了估计误差及其方差,以及它们大样本的极限值的显式表达式,最后考虑了它的一个特例,说明这一情形下的方差由遍历部分和非遍历部分组成。

关 键 词: ̄+平稳性, ̄+遍历性,谐波,信号处理。

A Result for Fourth-Order Stationarity and Ergodicity of a Harmonic Random Process
Mao Yongcai.A Result for Fourth-Order Stationarity and Ergodicity of a Harmonic Random Process[J].System Engineering and Electronics,1995(8).
Authors:Mao Yongcai
Abstract:The finite data estimates of the complex fourth-order moments of a signal consisting of random harmonics are analysed.Conditions for the fourth-order stationarity and ergodicity are obtained.Explicit formulas for the estimation error and its variance as Well as their limiting large sample values are derived .Finally,these results are stated for a special case and the variance is shown to comprise an ergodic and a nonergodic part.
Keywords:Harmonic random process  Fourth-order stationarity  Fourth-order ergodicity  
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