Performance Analysis of Optimum Receiver of Nakagami fading Channel for Non-coherent FSK System

Detection techniques based on the absence of any knowledge of the received carrier phase are referred to as non-coherent detection techniques. The optimum receiver under such a scenario is well known to be a structure that incorporates a form of square-law detection. This demodulation through M matched filters, where each one corresponds to the transmitted base band signals, the decision variables are then formed from the magnitudes of the matched filter outputs and the largest one is selected then. In a multi path environment, it is often difficult in practice to achieve good carrier synchronization. In such instances, it is necessary to employ a modulation for which non-coherent detection is possible. The most popular choice of such a modulation n fading channel applications is orthogonal M-FSK, whose error probability performance in AWGN was considered in the decision variables and the accompanying optimum receiver for non-coherent detection of an energy M-ary signalling set were presented.