Robust Super-exponential methods for blind deconvolution of MIMO-FIR systems with Gaussian noise

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 methods (RSEMs) were proposed for single-input single-output 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 RSEMs use only the higher-order cumulants of observations. Since higher-order cumulants are insensitive to Gaussian noise, the RSEMs are robust to Gaussian noise. We proposed an RSEM extended to the case of MIMO-FIR channels (convolutive mixtures). To show the validity of the proposed RSEM, some simulation results are presented.