Performance of trellis coded M-PSK and neural network equivalent systems over partial response-fading channels with imperfect phase reference

Abstract

For the first time in the literature, a partial response-fading channel is introduced. The new channel model acts like partial response signalling (PRS) having Rician probability density function. Analytical upper bounds of the trellis coded M-PSK structures are derived using Chernoff bounding technique, combined with the modified generating functional approach for partial response-fading channel with ideal state information (CSI), and no side information existing on the phase noise process. One interesting result is that trellis coded 4PSK systems have better error performance over partial response-fading channel than classical Rician channel for signal to noise ratios greater than a threshold value, which has the best error performance in the literature. Neural network models of the trellis coded 4PSK scheme are introduced for the first time in the literature over partial response-fading channels. The bit error event curves are derived using back-propogation algorithm.