| GENERAL |
|
|
|
|
An Adaptive Denoising Algorithm for Noisy Chaotic Signals Based on Local Sparse Representation |
| XIE Zong-Bo, FENG Jiu-Chao |
| School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641 |
|
| Cite this article: |
|
XIE Zong-Bo, FENG Jiu-Chao 2009 Chin. Phys. Lett. 26 030501 |
|
|
|
|
Abstract An adaptive denoising algorithm based on local sparse representation (local SR) is proposed. The basic idea is applying SR locally to clusters of signals embedded in a high-dimensional space of delayed coordinates. The clusters of signals are represented by the sparse linear combinations of atoms depending on the nature of the signal. The algorithm is applied to noisy chaotic signals denoising for testing its performance. In comparison with recently reported leading alternative denoising algorithms such as kernel principle component analysis (Kernel PCA), local independent component analysis (local ICA), local PCA, and wavelet shrinkage (WS), the proposed algorithm is more efficient.
|
| Keywords:
05.45.-a
84.40.Ua
|
|
|
Received: 08 September 2008
Published: 19 February 2009
|
|
| PACS: |
05.45.-a
|
(Nonlinear dynamics and chaos)
|
| |
84.40.Ua
|
(Telecommunications: signal transmission and processing; communication satellites)
|
|
|
|
|
|
[1] Blanchard G, Bousquet O and Zwald L 2007 MachineLearning 66 259
[2] Gruber P, Stadlthanner K and Theis F J 2006 Neurocomputing 69 1485
[3] Hu G, Peng Q S and Forrest A R 2006 VisualComputing 22 147
[4] Balster E J, Zheng Y F and Ewing R L 2006 IEEE Trans.Circuits Syst. Video Technol. 16 220
[5] Cheveign A D and Simon J Z 2006 J. Neurosci. Methods 171 331
[6] Kotoulas D, Koukoulas P and Kalouptsidis N 2006 IEEETrans. Signal Process. 54 1315
[7] Fischer S, Cristoba G and Redondo R 2006 IEEE Trans.Image Process. 15 265
[8] Donoho D L, Elad M and Temlyakov V N 2005 IEEE Trans.Information Theory 14 423
[9] Horvat M, Prosen T and Esposti M D 2006 Nonlinearity 19 1471
[10] Peters G 2006 Pattern Recognition 39 1481
[11] Andrle M and Neira L R 2007 Signal Process. 86 480
[12] Willeboordse F H and Kaneko K 1994 Phys. Rev. Lett. 73 533
[13] Hu G, Xie F and Qu Z 1997 Phys. Rev. E 562738
[14] Yi Z and Small M 2006 IEEE Trans. Circ. Syst.II 53 772
[15] Duan X J and Wang Z M 2007 Chin. J. Astronaut. 26 6 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
