Characterization of Rate Region in Interference Channels with Constrained Power

TL;DR

This paper derives a closed-form expression for the rate region of n-user Gaussian interference channels with power constraints, extending known results to time-varying channels and providing the first such characterization.

Contribution

It presents the first closed-form rate region for interference channels with power constraints, using Perron-Frobenius theorem, and extends the analysis to time-varying channels.

Findings

Closed-form rate region for constrained power interference channels

Extension to time-varying channels

Application of Perron-Frobenius theorem

Abstract

In this paper, an $n$-user Gaussian interference channel, where the power of the transmitters are subject to some upper-bounds is studied. We obtain a closed-form expression for the rate region of such a channel based on the Perron-Frobenius theorem. While the boundary of the rate region for the case of unconstrained power is a well-established result, this is the first result for the case of constrained power. We extend this result to the time-varying channels and obtain a closed-form solution for the rate region of such channels.