A second-order statistics-based optimization approach for blind MIMO system identification

We consider the problem of identifying a multiple-input multiple-output (MIMO) finite impulse response system excited by colored inputs with known statistics. Among other applications this problem appears in the context of CDMA communications systems with spatial and temporal diversity. We propose a novel approach that optimizes a criterion involving spectra and cross-spectra of the system output. Simulation results indicate that the proposed scheme works well, even for large order systems, and is robust to noise and channel length mismatch.

[1]  Athina P. Petropulu,et al.  Blind equalization of multiuser CDMA channels: a frequency-domain approach , 1999, 1999 2nd IEEE Workshop on Signal Processing Advances in Wireless Communications (Cat. No.99EX304).

[2]  Jitendra Tugnait.  Identification of multichannel linear non-Gaussian processes using higher-order statistics , 1995, Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers.

[3]  Lucas C. Parra,et al.  Convolutive blind separation of non-stationary sources , 2000, IEEE Trans. Speech Audio Process..

[4]  P. Comon,et al.  Contrasts for multichannel blind deconvolution , 1996, IEEE Signal Processing Letters.

[5]  Murat Torlak,et al.  Blind multiuser channel estimation in asynchronous CDMA systems , 1997, IEEE Trans. Signal Process..

[6]  J. Pesquet,et al.  Generalized contrasts for multichannel blind deconvolution of linear systems , 1997, IEEE Signal Processing Letters.

[7]  Jitendra Tugnait,et al.  Blind identifiability of FIR-MIMO systems with colored input using second order statistics , 2000, IEEE Signal Processing Letters.

[8]  Yujiro Inouye,et al.  Cumulant-based blind identification of linear multi-input-multi-output systems driven by colored inputs , 1997, IEEE Trans. Signal Process..

[9]  Athina P. Petropulu,et al.  Blind two-input-two-output FIR channel identification based on frequency domain second-order statistics , 2000, IEEE Trans. Signal Process..

[10]  Athina P. Petropulu,et al.  Frequency domain blind MIMO system identification based on second and higher order statistics , 2001, IEEE Trans. Signal Process..

[11]  José M. F. Moura,et al.  Closed-form blind identification of MIMO channels , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[12]  H. Vincent Poor,et al.  Blind equalization and multiuser detection in dispersive CDMA channels , 1998, IEEE Trans. Commun..

[13]  Hui Liu,et al.  Blind equalization in antenna array CDMA systems , 1997, IEEE Trans. Signal Process..

[14]  Georgios B. Giannakis,et al.  Multichannel blind signal separation and reconstruction , 1997, IEEE Trans. Speech Audio Process..

[15]  Ye Li,et al.  Blind MIMO FIR Channel Identification Based on Second-Order Statistics with Multiple Signals Recovery , 1996 .

[16]  Dirk Van Compernolle,et al.  Signal separation by symmetric adaptive decorrelation: stability, convergence, and uniqueness , 1995, IEEE Trans. Signal Process..

[17]  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.