Unified Analysis of Optimized Relay - based Wireless Systems

 Abstract—In this paper, we consider the analysis of cooperative relay-based amplify-and-forward system in terms of Shannon capacity, probability of error, and outage probability over fading channels. The relay gain is optimized with the objective of maximizing the received signal-to-noiseratio (SNR) at the destination, given that the fading statistics of the links in the cooperative system are known at the relay node. The Gaussian finite mixture is utilized to mathematically formulate, in a simple and unified way, the statistics of the received SNR at optimal power gain. These statistics include the probability density function (pdf), the cumulative distribution function (CDF), the moment generating function (MGF), and the amount of fading (AoF). Using this technique, the symbol error probability (SEP) for coherent and differentially coherent modulations are derived. Analytical expressions for Shannon capacity and the outage capacity are also derived. Monte Carlo simulation results are presented to validate the derived approximate expressions.