An efficient suboptimum detector based on linear prediction in Rayleigh flat-fading channels

It is well known that the optimum detector based on linear prediction, for frequency-nonselective (flat) fading channels, requires M-P states for M-ar y signalling, where P is the order of the prediction filter required to dec orrelate the received signal. In this paper, we first derive a suboptimal l inear predictive-based (SLP) detector for M-ary PSK by making a high SNR as sumption. We then demonstrate using the concept of isometry that for M-ary PSK signalling, only MP-1 states are required for this SLP detector. The co mplexity reduction is achieved with no loss in symbol-error-rate performanc e compared to the case where M-P states are used. As a corollary, we also s how that for a first-order prediction filter and M-ary PSK signalling, the SLP detector is identical to the conventional differential detector. (C) 20 01 Elsevier Science B.V. All rights reserved.