Capacity Region of $K$-User Discrete Memoryless Interference Channels with a Mixed Strong-Very Strong Interference

TL;DR

This paper derives the capacity region for K-user discrete memoryless interference channels with mixed strong and very strong interference, extending previous Gaussian results and providing a simpler derivation for the 3-user case.

Contribution

It generalizes the capacity region characterization to K-user DMICs with mixed interference, including a simplified proof for the 3-user Gaussian case.

Findings

Capacity region for K-user DMIC with mixed interference established

Special case derivation for 3-user Gaussian interference channel provided

Extension of previous Gaussian results to discrete memoryless channels

Abstract

The capacity region of the 3-user Gaussian Interference Channel (GIC) with mixed strong-very strong interference was established in \cite{ChS}. The mixed strong-very strong interference conditions considered in \cite{ChS} correspond to the case where, at each receiver, one of the interfering signals is strong and the other is very strong. In this paper, we derive the capacity region of $K$-user $(K\geq 3)$ Discrete Memoryless Interference Channels (DMICs) with a mixed strong-very strong interference. This corresponds to the case where, at each receiver one of the interfering signals is strong and the other $(K-2)$ interfering signals are very strong. This includes, as a special case, the 3-user DMIC with mixed strong-very strong interference. The proof is specialized to the 3-user GIC case and hence an alternative simpler derivation for the capacity region of the 3-user GIC with mixed strong-very strong interference is provided.