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

MA Yan; SHI Yao-wu; KANG Xiao-tao

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

更新时间：2025-07-16

- Harmonic Retrieval in Colored noises:Cross-Spectral SVD-LS Approach with Cleared False Peaks of Spectral Estimation
- Acta Electronica Sinica Vol. 30, Issue 1, Pages: 14-17(2002)
- 作者机构：
  
  吉林大学南岭校区信息科学与工程学院,吉林,长春,130025
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：2002
- 稿件说明：
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MA Yan, SHI Yao-wu, KANG Xiao-tao. Harmonic Retrieval in Colored noises:Cross-Spectral SVD-LS Approach with Cleared False Peaks of Spectral Estimation[J]. Acta Electronica Sinica, 2002, 30(1): 14-17.
DOI：

MA Yan, SHI Yao-wu, KANG Xiao-tao. Harmonic Retrieval in Colored noises:Cross-Spectral SVD-LS Approach with Cleared False Peaks of Spectral Estimation[J]. Acta Electronica Sinica, 2002, 30(1): 14-17. DOI：

摘要

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

从而大大地提高了谱分辨率及噪声抑制能力.

Abstract

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.

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