Blind identification of MIMO FIR systems for colored inputs by HOS based inverse filter criteria and GCD

A novel two-step algorithm is proposed for blind identification (BID) of a discrete-time K-input P-output (P /spl ges/ K and P > 1) finite impulse response system F(z) = (F/sub 1/(z), ...,F/sub K/ (z)) driven by K stationary nonGaussian inputs which are spatially independent but temporally colored. With each input modelled as a moving-average process with model Bk(z), Chi et al.'s (2003) BID algorithm using higher-order statistics based inverse filter criteria is utilized to estimate the combined system H(z) = (F/sub 1/(z)B/sub 1/(z),...,F/sub K/(z)B/sub K/(Z)) in the first step. In the second step, Qiu et al.'s (1997) greatest common divisor computation method is employed to obtain F/sub k/(z) and B/sub k/(z) from the estimated H(z). Some simulation results are presented to support the efficacy of the proposed 2-step BID algorithm.