A recurrent RBF network for non-linear channel with time-varying characteristic

In this paper, we will propose a recurrent RBF equalizer for non-linear channel with time-varying characteristics. In the conventional equalization method for that, its channel characteristic is estimated with FIR model, and the noise-free received signals are estimated with this estimate. Then the recurrent RBF equalizer's parameters are updated with this result. However, this method is not available lo nonlinear channel. In this paper, we firstly introduce MSB of the difference between the received signal and the estimate of noise-free received signal as the cost function to estimate all noise-free received signals, because this cost function is minimized when the noise-free received signal is equal to this estimate. Then, we estimate all estimates of noise-free received signal by minimizing this cost function using LMS algorithm, and the recurrent RBF equalizer is updated with these values.