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.