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Chin. Phys. B, 2016, Vol. 25(1): 010202    DOI: 10.1088/1674-1056/25/1/010202
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Denoising of chaotic signal using independent component analysis and empirical mode decomposition with circulate translating

Wen-Bo Wang(王文波)1,2, Xiao-Dong Zhang(张晓东)2, Yuchan Chang(常毓禅)3, Xiang-Li Wang(汪祥莉)4, Zhao Wang(王钊)5, Xi Chen(陈希)5, Lei Zheng(郑雷)6
1. College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;
2. State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China;
3. School of Finance, Renmin University of China, Beijing 100872, China;
4. School of Computer Science and Technology, Wuhan University of Technology, Wuhan 430063, China;
5. College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China;
6. Wuhan NARI Limited Liability Company of Sate Grid Electric Power Research Institute, Wuhan 430074, China
Abstract  In this paper, a new method to reduce noises within chaotic signals based on ICA (independent component analysis) and EMD (empirical mode decomposition) is proposed. The basic idea is decomposing chaotic signals and constructing multidimensional input vectors, firstly, on the base of EMD and its translation invariance. Secondly, it makes the independent component analysis on the input vectors, which means that a self adapting denoising is carried out for the intrinsic mode functions (IMFs) of chaotic signals. Finally, all IMFs compose the new denoised chaotic signal. Experiments on the Lorenz chaotic signal composed of different Gaussian noises and the monthly observed chaotic sequence on sunspots were put into practice. The results proved that the method proposed in this paper is effective in denoising of chaotic signals. Moreover, it can correct the center point in the phase space effectively, which makes it approach the real track of the chaotic attractor.
Keywords:  independent component analysis      empirical mode decomposition      chaotic signal      denoising  
Received:  16 July 2015      Revised:  30 August 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 Science and Technology, China (Grant No. 2012BAJ15B04), the National Natural Science Foundation of China (Grant Nos. 41071270 and 61473213), 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), and the Hubei Key Laboratory Foundation of Transportation Internet of Things, Wuhan University of Technology, China (Grant No.2015III015-B02).
Corresponding Authors:  Wen-Bo Wang     E-mail:  wwb0178@163.com

Cite this article: 

Wen-Bo Wang(王文波), Xiao-Dong Zhang(张晓东), Yuchan Chang(常毓禅), Xiang-Li Wang(汪祥莉), Zhao Wang(王钊), Xi Chen(陈希), Lei Zheng(郑雷) Denoising of chaotic signal using independent component analysis and empirical mode decomposition with circulate translating 2016 Chin. Phys. B 25 010202

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