Robust super-exponential methods for blind deconvolution of MIMO-IIR systems with Gaussian noise

Abstract

Abstract-The so called "super-exponential" methods (SEMs) are attractive methods for solving multichannel blind deconvolution problem. The conventional SEMs, however, have such a drawback that they are very sensitive to Gaussian noise. To overcome this drawback, the robust super-exponential method (RSEM) were proposed for single-input singleoutput infinite impulse response (SISO-IIR) channels and for multi-input multi-output (MIMO) static channels (instantaneous mixtures). While the conventional SEMs use the second-and higher-order cumulants of observations, the RSEM uses only the higher-order cumulants of observations. Since higher-order cumulants are insensitive to Gaussian noise, the RSEM is robust to Gaussian noise. We proposed an RSEM extended to the case of MIMO-IIR channels (convolutive mixtures). To show the validity of the proposed RSEM, some simulation results are presented.

Robust Super-Exponential Methods for Blind Equalization of MIMO-IIR Systems

“…There is already a simulation result available in [8] for the case when all the inputs are sub-gaussian.…”

“…In a vector form, (6) can be written as g i =Hwi i = 1 n (7) whereg i is the column vector consisting of the ith output impulse response of the cascade system defined bỹ g i := g T i1 g T i2 g T in T (8) g ij := g ij( 1) g ij(0) g ij(1) ] T…”