On the performance of dual-hop relaying systems in mixed multipath/shadowing fading channels

In this paper, we investigate the end-to-end performance of a dual-hop relaying system with fixed gain relays over mixed fading environment. In such environment, the wireless links of the considered system undergo mixed multipath/shadowing fading conditions, where one link is subject to only the Nakagami-m fading, the other link is subject to the composite Nakagami-lognormal fading which is approximated by using mixture gamma fading model. First, the cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) is derived under two asymmetric scenarios. And then, novel closed-form expressions of the outage probability and symbol error rate for the dual-hop system are derived based on newly analytical expressions of the CDF, respectively. Finally, some numerical and simulation results are shown and discussed to validate the accuracy of the analytical results under different scenarios, such as varying average SNR, fading parameters per hop, the choice of the gain constant and the location of relaying node.