Blind nonlinear channel identification based on constrained hybrid genetic algorithm

A method with higher-order cumulant fitting is proposed for nonlinear channel identification. Compared with the conventional method which uses 2nd-order cumulant as a constraint, the proposed method use 4th-order cumulant in order to smooth out the additive Gaussian noise. Since the cost function with higher order statistics has local minima, we also propose to use a simplex-genetic algorithm to minimize the cost function. The applicability of the proposed method is demonstrated by computer simulations.