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Harmonic Signals Retrieval Approach Based on Blind Source Separation

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Abstract

A frequently encountered problem in signal processing is harmonic retrieval in additive colored Gaussian or non-Gaussian noise, especially when the frequencies of the harmonic signals are very close in space. The purpose of this paper is to develop an efficient Blind Source Separation (BSS) algorithm from linear mixtures of source signals, which enables to separate harmonic source signals using only one observed channel signal even if the frequencies of the harmonic signals are closely spaced. First, we establish the BSS based harmonic retrieval model in additive noise by using the only one observed channel, and analyze the fundamental principle by utilizing BSS method to retrieve harmonics. Then, we propose a BSS-based approach to the harmonic retrieval by resorting the concept of W-disjoint orthogonality in the over-complete BSS situation, and as a result, we get the separation algorithm using only one channel mixed signals. Simulation results show that the proposed separation algorithm-BSS-HR is able to separate the harmonic source signals.

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Authors and Affiliations

  1. School of Mathematics and Physics, China University of Geosciences, 388 Lumo Road, 430074, Wuhan, China

    Fasong Wang & Hongwei Li

  2. School of Sciences, Henan University of Technology, 450052, Zhengzhou, China

    Rui Li

Authors
  1. Fasong Wang
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  2. Hongwei Li
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  3. Rui Li
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Corresponding author

Correspondence to Fasong Wang.

Additional information

This work is partially supported by National Natural Science Foundation of China (Grant No. 60672049) and the Science Foundation of Henan University of Technology (Grant No. 08XJC027).

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Wang, F., Li, H. & Li, R. Harmonic Signals Retrieval Approach Based on Blind Source Separation. Circuits Syst Signal Process 29, 669–685 (2010). https://doi.org/10.1007/s00034-010-9175-7

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  • DOI: https://doi.org/10.1007/s00034-010-9175-7

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