【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。更多还原

【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.更多还原