On the Performance of Multi-node Cooperative Networks over Composite Nakagami-lognormal Fading Channels using Mixture Gamma Distribution

In this paper, we present the end-to-end performance of a multi-node cooperative network over independent non-identical composite Nakagami-lognormal (NL) fading channels using Mixture Gamma (MG) distribution. Novel closed-form expressions for the Probability density function (PDF) and the Momentgeneration function (MGF) of the end-to-end Signal-to-noise ratio (SNR) are derived. Moreover, the average Symbol error rate (SER) and outage probability of the multi-node cooperative network are found based on the above new expressions, respectively. Numerical and simulation results are shown to verify the accuracy of the analytical results. Compared with the generalized-K (KG) distribution, MG distribution is more available to approximate the NL distribution from two aspects of the expression complexity and the analytical accuracy in the performance analysis of cooperative networks.