Performance Measure Analysis of Amplify-and-Forward Relaying over Non-Identical Nakagami-m Fading Channel

This paper analyzes the performance measures of amplify-and-forward (AF) relaying over non-identical Nakagami-m fading channel. The exact probability density functions (PDFs) of total signal-to-noise ratio (SNR) for variable gain relaying and fixed gain relaying are deduced, and the theoretical formulas of moment generating function (MGF) and moments for fixed gain relaying are presented. Since the exact PDF of total SNR for variable gain relaying is not tractable, its approximation is used to derive the formulas of MGF and moments. Using these statistic characteristics, the average symbol error rate (ASER) and amount of fading (AoF) for fixed gain relaying are derived, and the tight approximate ASER for variable gain relaying are given. These proposed mathematics results are verified by simulation.