Compute-and-forward on Gaussian interference relay channel

In this paper, we study transmission over a Gaussian interference relay channel. The system consists of two separate transmitters communicating with respective receivers concurrently, in the presence of a half-duplex relay node that assists both transmissions. We develop a coding scheme that is based on the relay node operating in the compute-forward mode, and analyze its performance in terms of offered data transmission rates. We also discuss the relevance of the strategy in various interference regimes. Furthermore, focusing on maximizing the allowed sum rate under individual power constraints, we formulate the problem as a mixed integer quadratically constrained quadratic program, and solve it through iterative methods. The results are illustrated through some numerical examples.