The Capacity Region of the 3-User Gaussian Interference Channel with Mixed Strong-Very Strong Interference

TL;DR

This paper characterizes the capacity region of a 3-user Gaussian interference channel under mixed strong-very strong interference conditions, providing an outer bound that is achievable under specific interference scenarios.

Contribution

It introduces the mixed strong-very strong interference conditions and derives the capacity region for the 3-user Gaussian interference channel under these conditions.

Findings

Outer bound on capacity region established

Capacity region characterized under mixed interference conditions

Achievability proven for the specified interference regime

Abstract

We consider the 3-user Gaussian interference channel and provide an outer bound on its capacity region. Under some conditions, which we call the mixed strong-very strong interference conditions, this outer bound is achievable. These conditions correspond to the case where at each receiver, one transmitter is causing strong interference and the other is causing very strong interference. Therefore, we characterize the capacity region of the 3-user interference channel with mixed strong-very strong interference.