Lecture Notes on Eigen-analysis of Autocorrelation and Power Spectrum Density Function

Q. Wan, Ya Wang, Xinxia Feng, L. Zou, Xiansheng Guo
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Abstract

Eigen-analysis is a quite important tool in signal processing, from which we can analyze the random signal. In this paper, the eigen-analysis of the autocorrelation function and power spectrum density are analyzed using Einstein-Wiener-khintchine relationship, LTI system, AR model, etc. The relationship between the two is illustrated. The eigen-analysis of the autocorrelation function of the random signal and power spectrum density can be derived from each other. We hope that the results of this lecture notes can give some inspiration to students who are studying digital signal processing.
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自相关特征分析与功率谱密度函数讲义
特征分析是信号处理中一个非常重要的工具,可以用来分析随机信号。本文采用Einstein-Wiener-khintchine关系、LTI系统、AR模型等方法对自相关函数和功率谱密度进行了本征分析。说明了两者之间的关系。随机信号的自相关函数和功率谱密度的特征分析可以相互导出。我们希望这个课堂讲稿的结果可以给正在学习数字信号处理的学生一些启发。
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