The Two User Gaussian Compound Interference Channel

TL;DR

This paper characterizes the capacity region of a novel two-user finite state compound Gaussian interference channel within one bit, using innovative coding and bounding techniques tailored to channel states.

Contribution

It introduces the finite state compound Gaussian interference channel and derives capacity bounds using multilevel superposition coding and a genie-aided outer bound.

Findings

Capacity region characterized within one bit

Inner bound uses multilevel superposition coding

Outer bound based on typical error events

Abstract

We introduce the two user finite state compound Gaussian interference channel and characterize its capacity region to within one bit. The main contributions involve both novel inner and outer bounds. The inner bound is multilevel superposition coding, but the decoding of the levels is opportunistic, depending on the channel state. The genie aided outer bound is motivated by the typical error events of the achievable scheme.