The Effect of Noise Correlation in AF Relay Networks

TL;DR

This paper investigates how noise correlation affects the performance of amplify-and-forward relay networks, showing that correlation can be beneficial and that knowledge of the correlation improves relay strategies and network capacity.

Contribution

It provides the first analysis of noise correlation effects in AF relay networks, deriving optimal relay gains and strategies with varying levels of correlation knowledge.

Findings

Noise correlation generally benefits network performance.

Knowledge of correlation significantly improves relay gains and capacity.

Closed-form solutions for maximum sum-rate in dual-hop networks.

Abstract

In wireless relay networks, noise at the relays can be correlated possibly due to common interference or noise propagation from preceding hops. In this work we consider a parallel relay network with noise correlation. For the relay strategy of amplify-and-forward (AF), we determine the optimal rate maximizing relay gains when correlation knowledge is available at the relays. The effect of correlation on the performance of the relay networks is analyzed for the cases where full knowledge of correlation is available at the relays and when there is no knowledge about the correlation structure. Interestingly we find that, on the average, noise correlation is beneficial regardless of whether the relays know the noise covariance matrix or not. However, the knowledge of correlation can greatly improve the performance. Typically, the performance improvement from correlation knowledge increases with the relay power and the number of relays. With perfect correlation knowledge the system is capable of canceling interference if the number of interferers is less than the number of relays. For a dual-hop multiple access parallel network, we obtain closed form expressions for the maximum sum-rate and the optimal relay strategy. The relay optimization for networks with three hops is also considered. For any relay gains for the first stage relays, this represents a parallel relay network with correlated noise. Based on the result of two hop networks with noise correlation, we propose an algorithm for solving the relay optimization problem for three-hop networks.