Second order blind identification of convolutive mixtures with temporally correlated sources: A subspace based approach

This contribution addresses the blind identification of Multiple Input Multiple Output (MIMO) linear FIR systems having a number of inputs less than the number of outputs. Recent publications have proposed an efficient second order identification method in the Single Input Multiple Output (SIMO) case. Based on a sub-space analysis, it allows a perfect recovery of the system parameters and excitation in a noise free environment. In this paper we indicate how to extend the original subspace based approach to the general MIMO case.

[1]  Jr. G. Forney,et al.  Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems , 1975 .

[2]  B. Anderson,et al.  Greatest common divisor via generalized Sylvester and Bezout matrices , 1978 .

[3]  Ehud Weinstein,et al.  New criteria for blind deconvolution of nonminimum phase systems (channels) , 1990, IEEE Trans. Inf. Theory.

[4]  Lang Tong,et al.  Fast blind equalization via antenna arrays , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  C. L. Nikias,et al.  Signal processing with higher-order spectra , 1993, IEEE Signal Processing Magazine.

[6]  Dirk T. M. Slock,et al.  Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[7]  Eric Moulines,et al.  Subspace methods for the blind identification of multichannel FIR filters , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[8]  Philippe Loubaton,et al.  Prediction error methods for time-domain blind identification of multichannel FIR filters , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[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.