Filtering noisy chaotic signal via sparse representation based on random frame dictionary

doi:10.1088/1674-1056/19/5/050510

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50510-050510.doi: 10.1088/1674-1056/19/5/050510

Filtering noisy chaotic signal via sparse representation based on random frame dictionary

谢宗伯, 冯久超

School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, China

收稿日期:2009-09-05 修回日期:2009-09-27 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
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.

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

Received:2009-09-05 Revised:2009-09-27 Online:2010-05-15 Published:2010-05-15
Supported by:
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.

摘要/Abstract

摘要： 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.

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.

Key words: chaotic signal, denoising, sparse representation, random frame dictionary

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Vx (Communication using chaos) 02.10.Yn (Matrix theory)

谢宗伯, 冯久超. Filtering noisy chaotic signal via sparse representation based on random frame dictionary[J]. 中国物理B, 2010, 19(5): 50510-050510.

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[J]. Chin. Phys. B, 2010, 19(5): 50510-050510.

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