混合色噪声背景下谐波恢复:一种可消除谱估计伪峰的互谱SVD-LS方法

Harmonic Retrieval in Colored noises:Cross-Spectral SVD-LS Approach with Cleared False Peaks of Spectral Estimation

扩阶特征方程方法由于可以有效地提高谐波恢复的谱分辨率及噪声抑制能力 ,因而被大多数谐波恢复方法所普遍采用 .但由此而产生的谱估计伪峰却严重干扰着谐波谱峰的判别 .本文依据对正弦谐波信号的扩阶互相关函数矩阵的特征分析 ,提出消除这种谱估计伪峰的理论及方法 .仿真结果表明本文所提出的互谱SVD LS方法可完全消除谱估计伪峰 。

The extended characteristic equation methods are widely used by most harmonic retrieval approaches.While the false peaks caused by these methods disturb seriously to distinguish the false peaks from the harmonic signal peaks.This paper has successfully solved the problem by studying the singular value decomposition (SVD) natures of the cross correlation matrix.Simulation results show that this new cross spectral SVD LS approach can clear spectral false peaks.