Abstract
Shalvi and Weinstein 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.