Detection of MPSK signal over fast fading channels in SIMO cognitive radio applications

In this paper we propose a computationally efficient detector for an M-aray Phase Shift Keying (MPSK) signal over fast fading channel with unknown parameters in a Single-Input-Multiple-Output (SIMO) scenario for cognitive radio applications. Employing Basis Expansion Model (BEM) as a usual approach for modeling such environments, we derive the Generalized Likelihood Ratio (GLR) Detector. However, this detector is computationally complex for implementation due to an exhaustive search over symbol sequence values. To remedy this problem, we approximate the statistic, and by utilizing an optimum algorithm for PSK sequence estimation with low computational complexity (CC), we reach a detector which is much simpler from CC point of view. Monte Carlo simulations show the close performance of the proposed and the exact GLR detectors.