Random Matrix Analysis of Large Relay Networks

We analyze fading interference relay networks whereM single-antenna source-destination terminal pairs communicate concurrently and in the same frequency band through a set of K single-antenna relays using half-duplex two-hop relaying. The relays do not have channel state information, perform amplify-and-forward (AF) relaying, and the destination terminals can cooperate and perform joint decoding. Our main results are as follows: • We compute the per source-destination terminal pair capacity for M,K → ∞, with K/M → β fixed, using tools from random matrix theory. • We show that for β →∞, the AF relay network is turned into a point-to-point multiple-input multiple-output link and thus extend the result found previously for the finite M,K →∞ case in [1] to the M,K → ∞ case.