On the error rate analysis of dual-hop relaying over composite fading channels using mixture gamma distribution

Weijun Cheng

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(5) 66-72

School of Information Engineering, Minzu University of China No. 27 South Zhongguancun Street, Haidian District, Beijing 100081, China

In this paper, we present the end-to-end performance of a dual-hop amplify-and-forward (AF) relaying system over independent non-identical (non-i.i.d) composite Nakagami-lognormal (NL) fading channels by using mixture gamma (MG) distribution. Novel closed-form expressions for the probability density function (PDF) and the moment-generation function (MGF) of the end-to-end signal-to-noise ratio (SNR) are derived. Moreover, the average error rate and the diversity order are found based on the above new expressions, respectively. These expressions are more simple and accuracy than the previous ones obtained by using generalized-K (KG) distribution. Finally, numerical and simulation results are shown to verify the accuracy of the analytical results. These results show that it is more precise to approximate the composite NL distribution by using the MG distribution than using the KG distribution in the performance analysis of cooperative relaying systems.