谐波随机过程的四阶平稳性和四阶遍历性条件  

CONDITIONS FOR FOURTH-ORDER STATIONARITY AND ERGODICITY OF A HARMONIC RANDOM PROCESS

作　　者：毛用才[1] 

机构地区：[1]西安电子科技大学电子工程研究所,西安710071

出　　处：《电子科学学刊》1996年第3期256-262,共7页

基　　金：电子工业部电科院预研基金

摘　　要：本文分析了由随机谐波构成的复信号四阶矩的有限数据估计,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,以及它们大样本极限的显式表达式。最后考虑了相应于三次相位耦合的特例,说明这一情形下的方差由遍历和非遍历两部分组成。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, a special case relevant to cubic phase coupling is considered, and these results are stated for this case, the variance is shown to comprise an ergodic and a nonergodic part.

关 键 词：谐波随机过程 四阶平稳性 四阶遍历性 信号处理 

分 类 号：TN911.7[电子电信—通信与信息系统]