Random matrix analysis of large relay networks

Authors

Veniamin I. Morgenshtern and Helmut Bölcskei

Reference

Allerton Conference on Communication, Control, and Computing, Monticello, IL, pp. 106-112, Sept. 2006, (invited paper).

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Abstract

We analyze fading interference relay networks where M 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: 1) We compute the per source-destination terminal pair capacity for M and K both going to infinity with the ratio K/M=beta fixed, using tools from random matrix theory. 2) We show that for beta going to infinity, 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 and K going to infinity case in [1] to the case where both M and K go to infinity.

Keywords

Relay network, large random matrix theory, capacity scaling

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