Estimation of Sinusoidal Frequencies in Colored Noise by Cross-Spectral Pisarenko and MUSIC Methods

石要武; 戴逸松; 丁宏

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Estimation of Sinusoidal Frequencies in Colored Noise by Cross-Spectral Pisarenko and MUSIC Methods

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- Estimation of Sinusoidal Frequencies in Colored Noise by Cross-Spectral Pisarenko and MUSIC Methods
- Acta Electronica Sinica Issue 10, (1996)
- 作者机构：
  
  吉林工业大学电子系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.4
- Published：1996
- 稿件说明：
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[1]石要武,戴逸松,丁宏.有色噪声背景下正弦信号频率估计的互谱Pisarenko和MUSIC方法[J].电子学报,1996(10):46-50.

石要武, 戴逸松, 丁宏. Estimation of Sinusoidal Frequencies in Colored Noise by Cross-Spectral Pisarenko and MUSIC Methods[J]. Acta Electronica Sinica, 1996, (10).
[1]石要武,戴逸松,丁宏.有色噪声背景下正弦信号频率估计的互谱Pisarenko和MUSIC方法[J].电子学报,1996(10):46-50. DOI：

石要武, 戴逸松, 丁宏. Estimation of Sinusoidal Frequencies in Colored Noise by Cross-Spectral Pisarenko and MUSIC Methods[J]. Acta Electronica Sinica, 1996, (10). DOI：

摘要

现代互谱估计是抑制有色噪声的一个有效方法。本文首次对正弦信号的扩阶互相关函数矩阵的特征结构进行了深入的分析，并进而提出了有色噪声背景下正弦信号频率估计的互谱Ｐｉｓａｒｅｎｋｏ方法和ＭＵＳＩＣ方法。这两种方法的突出特点是几乎不需要任何关于有色噪声的先验信息，并可在很低信噪比条件下工作，因此特别适合于工程应用。仿真结果表明，在有色噪声和很低信噪比条件下，该方法的谱分辨率和谐估计的稳定性大大优于自谱ＳＶＤ方法。

Abstract

The modern cross-spectral estimation is an effective method to restrain colored noises. In this paper

the singular-value decomposition natures of an extended-order cross-correlation matrix associated with sinusoids are studied. With the results of the study

the Pisarenko and MUSIC methods for the cross-spectral estimation of the sinusoidal signal embedded in colored noise are proposed. The mainly advantages of the methods are that they don’t need any priori information about the colored noises and can work in very low SNR

which make the methods applicable in engineering. Finally

we compare the proposed methods to the Cadzow’s SVD method

used for the frequencies estimation of the sinusoidal signal in strong colored noise.

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