An efficient algorithm for harmonic retrieval by combining blind source separation with wavelet packet decomposition

被引：5

作者：

Wang, Fasong ^{[1
]}

Wang, Zhongyong ^{[1
]}

Li, Rui ^{[2
]}

Zhang, Linrang ^{[3
]}

机构：

[1] Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Peoples R China

[2] Henan Univ Technol, Sch Sci, Zhengzhou 450001, Peoples R China

[3] Xidian Univ, Natl Key Lab Radar Signal Proc, Xian 710071, Peoples R China

来源：

DIGITAL SIGNAL PROCESSING | 2015年 / 46卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Blind source separation (BSS); Harmonic retrieval; Wavelet packet (WP); Mutual information (MI); BOUNDED COMPONENT ANALYSIS; SPARSE REPRESENTATION; MIXTURES; NUMBER; MODEL;

D O I：

10.1016/j.dsp.2015.07.010

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the present paper, we propose an efficient framework and algorithm for one dimensional harmonic retrieval problem in additive colored Gaussian or non-Gaussian noise when the frequencies of the harmonic signals are closely spaced in frequency domain. Our framework utilizes the wavelet packet (WP) method to the blind source separation (BSS) based harmonic retrieval model. Firstly, we establish the BSS based harmonic retrieval model in additive noise using only one mixed channel signal, at the same time, the fundamental principle of BSS based harmonics retrieval algorithm is analyzed in detail. Then, the harmonic retrieval algorithm is developed mainly using the WP decomposition approach, where the criterion is formed as the cumulant based approximation of the mutual information (MI) for the selection of optimal sub-bands of WP decomposition with the least-dependent components between the same nodes. Simulation results show that the proposed algorithm is able to retrieve the harmonic source signals and yield good performance. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：133 / 150

页数：18

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