Blind Source Separation Algorithm Based on Wavelet Smoothing for Super-Gaussian and Sub-Gaussian Signals
BI Xue1,2, CHEN Xiang-dong2, WANG Shi-hai2, ZHANG Yu3
1. Network Center, Xihua University, Chengdu 610039, China; 2. School of Information Science & Technology, Southwest Jiaotong University, Chengdu 610031, China; 3. Institute of Drill Technology, Sichuan Petroleum Management Bureau, Guanghan 618300, China
Abstract:In order to separate super-Gaussian and sub-Gaussian signals,this paper uses high-and low-frequency coefficients of wavelet transform as smooth factors,then builds a signal-to-noise ratio objective function,which uses the denominator as prediction error and can be optimized to resolve separable matrix.Simulation shows that this algorithm can separate source signals effectively.
毕雪, 陈向东, 王世海, 张宇. 基于小波平滑的超高斯与亚高斯信号盲源分离算法[J]. 信息与控制, 2007, 36(6): 696-701.
BI Xue, CHEN Xiang-dong, WANG Shi-hai, ZHANG Yu. Blind Source Separation Algorithm Based on Wavelet Smoothing for Super-Gaussian and Sub-Gaussian Signals. Information and control, 2007, 36(6): 696-701.
Lee T W,Girolami M,Sejnowski T J.Independent component analysis using all extended infomax algorithm for mixed subgaussian and supergaussian seurces[J].Neural Computation,1999,11 (2):417~441.
[8]
Mallat S.A theory for multiresolution signal decomposition:The wavelet representation[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1989,11(7):674~693.
[1]
Jutten C,Herault J.Blind separation of sources,Part I:An adaptive algorithm based on neurominaetic architecture[J].Signal Processing,1991,24(1):1~10.
[2]
Bell A J,Sejnowski T J.An information maximization approach to blind separation and blind deconvolution[J].Neural Computation,1995,7(6):1129~1159.
[6]
Xie S L,He Z S,Fu Y L.A note on Stone's conjecture of blind signal separation[J].Neural Computation,2005,17(2):321~330.
[3]
Amari S,Chen T P,Cichocki A.Stability analysis of learning algorithms for blind source separation[J].Neural Networks,1997,10(8):1345~1351.
[7]
Mallat S,Zhong S.Characterization of signals from multiscale edges[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1992,14(7):710~732.