Scaling Laws in Decentralized Processing of Interfered Gaussian Channels

In this contribution we investigate the achievable communication rates and the corresponding upper bounds of distributed reception in the presence of an interferer. The scheme includes one transmitter which communicates to a remote destination via relays, which forward messages to the remote destination through lossless links with finite capacities. The relays receive the transmission along with some unknown interferer. We focus on two common setting for distributed reception wherein the scaling laws, where the power of the transmitter and the interferer are taken to infinity, are completely derived. Lattices are found to be beneficial here, and provide schemes used to characterize the scaling law.