Analysis of the Precision of Bispectral Estimation Methods

Wen-bing Wu
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Abstract

In order to evaluate the accuracy of bispectral estimation method, signals of cosine function were adopted. Because the cosine signals’ three order moment spectrum and three order cumulant spectrum are zero, Non zero part of the bispectrum estimated by no matter which method is the estimation error. Through the comparison of three kinds of estimation methods: the direct method, indirect method and AR parameter method, errors of various estimation methods were obtained, then changing the values of different parameters in all methods, and observing the bispectral error values changes with the parameters, so as to provide a basis for the various bispectrum estimation method and the selection.
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双谱估计方法的精度分析
为了评估双谱估计方法的准确性,采用了余弦函数信号。由于余弦信号的三阶矩谱和三阶累积量谱为零,因此无论哪种方法估计的双谱的非零部分都是估计误差。通过对直接法、间接法和AR参数法三种估计方法的比较,得出了各种估计方法的误差,然后改变所有方法中不同参数的值,观察双谱误差值随参数的变化,为各种双谱估计方法的选择提供依据。
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