Performance of super-exponential algorithm for blind equalization

Shalvi and Weinstein (1990, 1993, 1994) proposed a computationally efficient iterative super-exponential algorithm (SEA) using higher-order cumulants for blind equalization. For practical situations of finite signal-to-noise ratio (SNR) and channels allowed to have zeros on the unit circle, it can be shown that the linear equalizer obtained using the SEA is stable with a nonlinear relation to the nonblind minimum mean square error (MMSE) equalizer, that it is a perfect phase equalizer for some cumulant orders, and that it is the same as the linear equalizer associated with Shalvi and Weinstein´s blind deconvolution criteria for some cumulant orders. Then some simulation results are presented to justify the analytic results followed by some conclusions