On the Capacity of Two-Hop AF Relaying in the Presence of Interference Under Nakagami-m Fading

This letter studies the ergodic capacity of channel state information (CSI)-assisted two-hop amplify-and-forward (AF) relaying system, in which the relay and the destination undergo independent sources of co-channel interference. The fading envelopes associated with the desired and interfering users are assumed to follow independent but non-identically distributed (i.n.d.) Nakagami-m fading models. Through the analysis and by assuming the fading parameter m of the two hop channels being integer, exact and approximate results for the system average ergodic capacity under different conditions are derived. They are valid for arbitrary numbers of interfering signals, and can be used to study the case of independent and identically distributed (i.i.d.) channels as a limiting application. Simulation results are provided to validate the analytical development, and to clarify the average ergodic capacity under different conditions.