On linear predictors for MIMO channels and related blind identification and equalization

The existence of finite-length one-step linear predictors plays a key role in several existing algorithms for blind identification and equalization of multiple-input multiple-output (MIMO) systems. An upper bound on the length of the predictor is known for the case when the underlying MIMO transfer function is irreducible and column-reduced. When the MIMO transfer function is irreducible but not necessarily column-reduced, it is known that a finite-length linear predictor exists; however, its length has not been specified in the literature. An upper bound on the length of a linear predictor for MIMO systems with irreducible transfer functions is derived.

[1]  P. Graefe.  Linear stochastic systems , 1966 .

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

[3]  Thomas Kailath,et al.  Linear Systems , 1980 .

[4]  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.

[5]  D. Slock.  Blind joint equalization of multiple synchronous mobile users using oversampling and/or multiple antennas , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[6]  Nathalie Delfosse,et al.  Adaptive blind separation of convolutive mixtures , 1996, Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers.

[7]  Philippe Loubaton,et al.  Second order blind equalization in multiple input multiple output FIR systems: a weighted least squares approach , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[8]  A. Gorokhov,et al.  Multiple input, multiple output ARMA systems: second order blind identification for signal extraction , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[9]  Philippe Loubaton,et al.  A subspace algorithm for certain blind identification problems , 1997, IEEE Trans. Inf. Theory.

[10]  Jitendra K. Tugnait,et al.  Blind spatio-temporal equalization and impulse response estimation for MIMO channels using a Godard cost function , 1997, IEEE Trans. Signal Process..

[11]  Philippe Loubaton,et al.  Prediction error method for second-order blind identification , 1997, IEEE Trans. Signal Process..