On the performance of multi-antenna AF two-way relaying over Nakagami-m fading channels

We present the performance of multi-antenna selective combining amplify-and-forward relay networks over independent and identically distributed Nakagami-m fading channels with integer values of the fading severity parameter, m. The outage probability, moment generation function and symbol error probability of our relaying system are derived in closed-form using the signal to noise ratio (SNR) statistical characteristics at the destination. Moreover, we perform high SNR regime analysis over outage and symbol error probability. Through the high SNR analysis, we assume that the fading channels are independent and non-identically distributed, while there is no assumption on the fading severity parameter m. Subsequently, some special cases of practical interest (e.g., Rayleigh fading channels, and single relay system) are also studied. Lastly, we present numerical simulations to check our analytical results.