Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform

doi:10.1088/1674-1056/24/8/080203

Abstract

For the harmonic signal extraction from chaotic interference, a harmonic signal extraction method is proposed based on synchrosqueezed wavelet transform (SWT). First, the mixed signal of chaotic signal, harmonic signal, and noise is decomposed into a series of intrinsic mode-type functions by synchrosqueezed wavelet transform (SWT) then the instantaneous frequency of intrinsic mode-type functions is analyzed by using of Hilbert transform, and the harmonic extraction is realized. In experiments of harmonic signal extraction, the Duffing and Lorenz chaotic signals are selected as interference signal, and the mixed signal of chaotic signal and harmonic signal is added by Gauss white noises of different intensities. The experimental results show that when the white noise intensity is in a certain range, the extracting harmonic signals measured by the proposed SWT method have higher precision, the harmonic signal extraction effect is obviously superior to the classical empirical mode decomposition method.

Keywords: harmonic extraction noisy chaotic interference synchrosqueezed wavelet transform

Received: 28 February 2015
Revised: 22 May 2015
Accepted manuscript online:

PACS:	02.30.Nw	(Fourier analysis)
	31.70.Hq	(Time-dependent phenomena: excitation and relaxation processes, and reaction rates)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 61171075), the Natural Science Foundation of Hubei Province, China (Grant No. 2015CFB424), the State Key Laboratory Foundation of Satellite Ocean Environment Dynamics, China (Grant No. SOED1405), the Hubei Provincial Key Laboratory Foundation of Metallurgical Industry Process System Science, China (Grant No. Z201303).

Corresponding Authors: Wang Xiang-Li
E-mail: 531448233@qq.com

Cite this article:

Wang Xiang-Li (汪祥莉), Wang Wen-Bo (王文波) Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform 2015 Chin. Phys. B 24 080203

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Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform

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