Fuzzy logic based variable step size algorithm for blind delayed source separation

Convergence of blind delayed source separation algorithms, which use constant learning rates, is known to be slow. We propose a fuzzy logic based approach to adaptively select the learning rates, for estimates of delays and cross-weights, in the blind delayed source separation algorithm. We make use of the state of independence of the separated outputs. We also propose a performance index to measure the convergence of the blind delayed source separation algorithm. Simulation results show the improved performance of the proposed algorithm over the conventional delayed source separation algorithm under stationary as well as non-stationary mixing conditions.

[1]  Erkki Oja,et al.  Independent Component Analysis , 2001 .

[2]  Andrzej Cichocki,et al.  A New Learning Algorithm for Blind Signal Separation , 1995, NIPS.

[3]  P. Comon Independent Component Analysis , 1992 .

[4]  Richard W. Harris,et al.  A variable step (VS) adaptive filter algorithm , 1986, IEEE Trans. Acoust. Speech Signal Process..

[5]  E. Oja,et al.  Independent Component Analysis , 2001 .

[6]  Christian Jutten,et al.  Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture , 1991, Signal Process..

[7]  Woon-Seng Gan Fuzzy step-size adjustment for the LMS algorithm , 1996, Signal Process..

[8]  Kari Torkkola,et al.  Blind separation of delayed sources based on information maximization , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[9]  S. Haykin Unsupervised adaptive filtering, vol. 1: Blind source separation , 2000 .

[10]  Chin-Teng Lin,et al.  Neural fuzzy systems , 1994 .

[11]  Roland Priemer,et al.  Blind Separation of Sources from Their Delayed Mixtures , 2006 .

[12]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[13]  Ali Mansour,et al.  Blind Separation of Sources , 1999 .

[14]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[15]  Robert A. Jacobs,et al.  Increased rates of convergence through learning rate adaptation , 1987, Neural Networks.