End-to-End Performance Analysis of Cooperative Relay-Based Wireless System Over Generalized Gaussian-Finite-Mixture Fading Channels

The end-to-end performance of cooperative relay- based wireless communication system with nonregenerative relay over generalized Gaussian-Finite-Mixture fading channels is presented. The received signal-to-noise-ratio (SNR) is maximized by optimizing the relay gain given that the fading statistics of the links in a cooperative system are known by the relay. The statistics of the received SNR at optimum gain are derived in closed forms. More specifically the probability density function (pdf), the cumulative distribution function (CDF), the moment generating function (MGF), and the amount of fading (AoF) for noise-limited cooperative relay-based system are derived. In this paper, Finite Mixture (FM) with Expectation-Maximization (EM) algorithm is utilized to derive simple approximate expression for the pdfs of Rayleigh, Nakagami-m and Weibull fading channels. Numerical results using Monte Carlo simulation are used to validate the derived closed-form expressions. The resultant expressions of the statistics of the received SNR simplify the analysis of the end-to-end performance of cooperative relay-based wireless communication system.