基于小波域维纳滤波器的信号稀疏表示

doi:10.3969/j.issn.0255-8297.2012.06.006

Abstract

Abstract: A wavelet-based Wiener filter is proposed for signal sparse representation since the classical wavelet transform can not posses good sparse results for real signals. The proposed method can adaptively decrease the magnitude of each wavelet coefficient so that sparsity and compressibility of the wavelet coefficients is improved. This results in improvement of recovered signal quality of the compressed sensing algorithm. Simulation results show that, compared to the original sparse representation based on wavelet transform, the proposed algorithm can significantly improve quality of recovered signals for both signals and images.

Key words: sparse representation, Wiener filter, wavelet transform, orthogonal matching pursuit (OMP)algorithm

CLC Number:

TN911.72

ZHAO Zhi-peng1,2, CEN Yi-gang1,2, CHEN Xiao-fang3. Sparse Representation of Signals Based on Wavelet Domain Wiener Filtering[J]. Journal of Applied Sciences, 2012, 30(6): 595-600.

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Sparse Representation of Signals Based on Wavelet Domain Wiener Filtering

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