Linear Adaptive Blind Equalizers of Non Linear SIMO FIR Channels

In this paper, it is shown that the nonlinear SIMO FIR channels can be blindly equalized using only linear IIR filters. A regression model for the IIR channel and thereby RLS algorithm is formulated to estimate the coefficients of the IIR channel. Further, the channel is represented in state-space form, where the state is a vector of the last transmitted (m+1) symbols of the source signal. Based on the state space form of the channel, network of Kalman filters (NKF) is developed for estimating the state, from which the input signal can be recovered. Then, the RLS estimator is operated in parallel with NKF to jointly recover the input signal, as well as to estimate the channel parameters blindly from the channel output measurements. The proposed approach is corroborated with a simulation example on equalization of nonlinear SIMO FIR channels