An Achievable Rate Region for the Gaussian Interference Channel

TL;DR

This paper derives a new achievable rate region for the Gaussian interference channel using advanced multiplexing techniques, which encompasses previous regions and offers improved power utilization.

Contribution

The paper introduces a novel inner bound for the Gaussian interference channel that extends existing regions and enhances power utilization capabilities.

Findings

The new region includes existing regions as subsets.

It allows full transmit power range utilization.

Conditions for strict extension over previous regions are analyzed.

Abstract

An achievable rate region for the Gaussian interference channel is derived using Sato's modified frequency division multiplexing idea and a special case of Han and Kobayashi's rate region (denoted by $\Gmat^\prime$). We show that the new inner bound includes $\Gmat^\prime$, Sason's rate region $\Dmat$, as well as the achievable region via TDM/FDM, as its subsets. The advantage of this improved inner bound over $\Gmat^\prime$ arises due to its inherent ability to utilize the whole transmit power range on the real line without violating the power constraint. We also provide analysis to examine the conditions for the new achievable region to strictly extend $\Gmat^\prime$.