On the Capacity of Interference Channels with Degraded Message sets

TL;DR

This paper characterizes the capacity region of a two-user Gaussian interference channel where one transmitter knows both messages, demonstrating optimality of Gaussian inputs in weak interference scenarios.

Contribution

It introduces the capacity region for interference channels with degraded message sets and proves the optimality of Gaussian inputs for Gaussian weak interference channels.

Findings

Capacity region derived for the interference channel with degraded message sets

Optimality of Gaussian inputs established for Gaussian weak interference channels

Achievability and converse proofs provided for the discrete memoryless case

Abstract

This paper is motivated by a sensor network on a correlated field where nearby sensors share information, and can thus assist rather than interfere with one another. A special class of two-user Gaussian interference channels (IFCs) is considered where one of the two transmitters knows both the messages to be conveyed to the two receivers (called the IFC with degraded message sets). Both achievability and converse arguments are provided for this scenario for a class of discrete memoryless channels with weak interference. For the case of the Gaussian weak interference channel with degraded message sets, optimality of Gaussian inputs is also shown, resulting in the capacity region of this channel.