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Filtering noisy chaotic signal via sparse representation based on random frame dictionary |
Xie Zong-Bo(谢宗伯) and Feng Jiu-Chao(冯久超)† |
School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, China |
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Abstract The denoising problem of impure chaotic signals is addressed in this paper. A method based on sparse representation is proposed, in which the random frame dictionary is generated by a chaotic random search algorithm. The numerical simulation shows the proposed algorithm outperforms those recently reported alternative denoising methods.
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Received: 05 September 2009
Revised: 27 September 2009
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Vx
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(Communication using chaos)
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02.10.Yn
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(Matrix theory)
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Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~60872123), the Joint
Fund of the National Natural Science Foundation and the Guangdong
Provincial Natural Science Foundation (Grant No.~U0835001), and by
the Doctorate Foundation of South China University of Technology,
China. |
Cite this article:
Xie Zong-Bo(谢宗伯) and Feng Jiu-Chao(冯久超) Filtering noisy chaotic signal via sparse representation based on random frame dictionary 2010 Chin. Phys. B 19 050510
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