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Chin. Phys. B, 2010, Vol. 19(5): 050510    DOI: 10.1088/1674-1056/19/5/050510
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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
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.
Keywords:  chaotic signal      denoising      sparse representation      random frame dictionary  
Received:  05 September 2009      Revised:  27 September 2009      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Vx (Communication using chaos)  
  02.10.Yn (Matrix theory)  
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

[1] Ambika G and Amritkar R E 2009 Phys. Rev. E 79 056206
[2] Han C Z, Liu D and Ren H P 2008 Chin. Phys. B 17 1202
[3] Fu J, Ma T D and Zhang H G 2008 Chin. Phys. B 17 4407
[4] Tian Y C 1997 Acta Phys. Sin. 46 442 (in Chinese)
[5] Chen J R, Jiao L C, Wu J S and Wang X H 2009 Chin. Phys. Lett. 26 060505
[6] Wang J, Tan Z Y, Ma X K and Gao J F 2009 Chin. Phys. Lett. 26 050503
[7] Tar A, Gandhi G and Cserey G 2009 Int. J. Circuit Theory and Appl. 37 529
[8] Farmer J D and Sidorowich J J 1991 Physica D 47 373
[9] Feng J C and Xie S L 2006 Proc. 2006 IEEE Int. Symp. on Circuits and Systems, Island of Kos Greece, 21--24 May, 2006 p4
[10] Hammel K M 1990 Phys. Lett. A 148 421
[11] Gan J C and Xiao X C 2004 Chin. Phys. 13 312
[12] Xie Z B and Feng J C 2009 Chin. Phys. Lett. 26 030501
[13] Schreiber T and Kaplan D T 1996 Phys. Rev. E 53 4326
[14] Candes E J and Donoho D L 2006 Comm. Pure Appl. Math. 57 219
[15] Chen S S, Donoho D L and Saunders M A 2001 SIAM Review 43 129
[16] Mallat S and Le Pennec E 2005 IEEE Trans. Image Process. 14 423
[17] Akcakaya M and Tarokh V 2007 IEEE Signal Process. Lett. 14 777
[18] Omlor L and Giese M A 2007 Neurocomputing 70 1938
[19] Tropp J A 2004 IEEE Trans. Inf. Theory 50 2231
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