Direct blind separation of independent non-Gaussian signals with dynamic channels

A fundamental theorem of direct blind separation of independent non-Gaussian signals with dynamic channels is presented. Roughly, it states that blind signal separation is achieved if and only if the output signals are temporally uncorrelated and pairwise independent. This condition is simple enough to be adaptable by a neural network.

[1]  Ruey-Wen Liu,et al.  A fundamental theorem for multiple-channel blind equalization , 1997 .

[2]  Shun-ichi Amari,et al.  Adaptive blind signal processing-neural network approaches , 1998, Proc. IEEE.

[3]  Ananthram Swami,et al.  Multichannel ARMA processes , 1994, IEEE Trans. Signal Process..

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

[5]  Jitendra K. Tugnait,et al.  Identification and deconvolution of multichannel linear non-Gaussian processes using higher order statistics and inverse filter criteria , 1997, IEEE Trans. Signal Process..

[6]  Jean-Francois Cardoso,et al.  Source separation using higher order moments , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[7]  Lang Tong,et al.  Waveform-preserving blind estimation of multiple independent sources , 1993, IEEE Trans. Signal Process..

[8]  John G. Proakis,et al.  Digital Communications , 1983 .

[9]  Constantinos B. Papadias,et al.  Further results on blind identification and equalization of multiple FIR channels , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[10]  Christian Jutten,et al.  Detection de grandeurs primitives dans un message composite par une architecture de calcul neuromime , 1985 .

[11]  Lang Tong,et al.  A finite-step global convergence algorithm for the parameter estimation of multichannel MA processes , 1992, IEEE Trans. Signal Process..

[12]  James L. Massey,et al.  Inverses of Linear Sequential Circuits , 1968, IEEE Transactions on Computers.

[13]  J. Ord,et al.  Characterization Problems in Mathematical Statistics , 1975 .

[14]  D. Gesbert,et al.  Blind equalization of polyphase FIR channels: a whitening approach , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[15]  Constantinos B. Papadias,et al.  Blind separation of independent co-channel signals , 1997, Proceedings of 13th International Conference on Digital Signal Processing.

[16]  A. C. Aitken,et al.  Random variables and probability distributions , 1938 .