Study on frequency resolution of spectral estimators using non-linear functions of the covariance matrix

Jun Chen, Yewei Wu, An Li
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Abstract

This paper studies the frequency resolution of two existing spectral estimators, where one is a generalization of the minimum variance spectral estimators (GMVSE) and the other is Pisarenko's non-linear spectral estimators (PNLSE). By this study, we show the uncovered relationship between the non-linear parameter and the frequency resolution for both the GMVSE and the PNLSE. The results bring out a clear guideline on choosing the parameters for both the GMVSE and the PNLSE to avoid missing any sinusoids.
基于协方差矩阵非线性函数的频谱估计频率分辨率研究
本文研究了两种现有谱估计器的频率分辨率,其中一种是最小方差谱估计器(GMVSE)的推广,另一种是Pisarenko的非线性谱估计器(PNLSE)。通过本研究,我们揭示了GMVSE和PNLSE的非线性参数与频率分辨率之间的关系。结果为GMVSE和PNLSE的参数选择提供了明确的指导,以避免遗漏任何正弦波。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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