Performance Analysis of Multi-Antenna DF Relay Networks over Nakagami-m Fading Channels

In this letter, we present the performance of multi-antenna selective combining decode-and-forward (SC-DF) relay networks over independent and identically distributed (i.i.d) Nakagami-m fading channels with integer value of the fading severity parameter m. The outage probability, moment generation function (MGF) and symbol error probability are derived in closed-form using the SNR statistical characteristics. To simplify our analysis, we derive outage and symbol error probabilities at high SNRs over independent and non-identically distributed (i.n.i.d) Nakagami-m fading channels with no assumption on the fading severity parameter m .After that, we formulate the outage probability problem and optimize it with an approximated problem and then solve it analytically. Finally, for comparison with analytical results, we perform some Monte-Carlo simulations.