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Chin. Phys. B, 2015, Vol. 24(8): 080203    DOI: 10.1088/1674-1056/24/8/080203
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Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform

Wang Xiang-Lia, Wang Wen-Bob
a Wuhan University of Technology, School of Computer Science and Technology, Wuhan 430063, China;
b School of Science, Wuhan University of Science and Technology, Wuhan 430065, China
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      Published:  05 August 2015
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, Wang Wen-Bo Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform 2015 Chin. Phys. B 24 080203

[1] Wang W B, Zhang X D and Wang X L 2013 Acta Phys. Sin. 62 050201 (in Chinese)
[2] Li X Y, Wang G L and Zhou X X 2014 Chin. Phys. Lett. 31 064204
[3] Hu S L and Shi T Y 2013 Chin. Phys. B 22 013101
[4] Leung H and Huang X P 1995 IEEE International Conference ICASSP (Detroit: IEEE) p. 1344
[5] Haykin S and Li X B 1995 Proc. IEEE 83 94
[6] Stark J and Arumugaw B 1992 Int. J. Bifur. Chaos 2 2
[7] Wang F P, Guo J B, Wang Z J and Xiao D C 2001 Acta Phys. Sin. 50 1019 (in Chinese)
[8] Huang N E, Shen Z, Long S R, Wu M G, Shih H H, Zheng Q, Yen N C, Tung C C and Liu H H 1998 Proc. R. Soc. Lond. A 454 903
[9] Wang G G and Wang S X 2006 Journal of JLN (Jilin) University (Science Edition) 44 439 (in Chinese)
[10] Li H G and Meng G 2004 Acta Phys. Sin. 53 2069 (in Chinese)
[11] Wang E F, Wang D Q and Ding Q 2011 J. Commun. 32 60 (in Chinese)
[12] Chen G D and Wang Z C 2012 Mechanical Systems and Signal Processing 28 259
[13] Liu J L, Ren W X and Wang Z C 2013 Journal of Vibration and Shock 32 37 (in Chinese)
[14] Sylvain M, Thomas O and Stephen M 2012 IEEE Trans. Signal Process. 60 5787
[15] Daubechies I, Lu J F and Wu H T 2011 Applied and Computational Harmonic Analysis 30 243
[16] Gaurav T, Eugene B, Neven S F and Wu H T 2012 Signal Processing 93 1079
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