Performance Analysis of Opportunistic Two-Way 3P-ANC Multi-Relay System with Imperfect CSI and NLPA

In this work, a two-way multi-relay system using three phase analog network coding (3P-ANC) with opportunistic relay selection scheme is considered, and performance is analyzed over independent and non-identically distributed (i.n.i.d.) Nakagami-m fading channels with imperfect channel state information (CSI) and non-linear power amplifier (NLPA) at the relays. For this, closed-form expression of outage probability is derived and diversity order of the system is obtained with the help of asymptotic outage probability. Further, the impact of number of relays, fading parameter, channel estimation error and non-linear distortion are highlighted on the system's performance. Finally, theoretical expressions are validated through simulations.