Equalization Algorithms Based on Nonlinear Channel

In order to reduce the computational complexity,this paper adopts Hammerstein model and Wiener model,instead of the Volterra series model,to approach a non-linear system.Furthermore,based on Hammerstein model and Wiener model,a nonlinear transmission system model is also proposed.To this new model,three non-linear algorithms,i.e.Nonlinear Channel Recursive Least Squares(NCRLS) algorithm,Nonlinear Channel Kalman(NCKalman) algorithm and Nonlinear Channel Recursive Prediction Error Method(NCRPEM) algorithm,are derived.Also comparisons on performance among these three algorithms are presented.Results of simulations show that,if residual mean square error is concerned,NCKalman performs over NCRPEM and NCRLS is the worst,while NCRPEM is the best,and NCRLS performs over NCKalman if the speed of iterative convergence is considered.