Multiaccess Channels with State Known to One Encoder: Another Case of Degraded Message Sets

TL;DR

This paper investigates the capacity limits of a two-user multiaccess channel with state information known to only one encoder, deriving bounds for both discrete and Gaussian cases, and identifying scenarios where these bounds are tight.

Contribution

It introduces new capacity bounds for a multiaccess channel with asymmetric state information, including tight bounds for certain Gaussian cases.

Findings

Derived inner and outer bounds for the capacity region

Identified cases where bounds are tight in Gaussian channels

Extended understanding of multiaccess channels with asymmetric state knowledge

Abstract

We consider a two-user state-dependent multiaccess channel in which only one of the encoders is informed, non-causally, of the channel states. Two independent messages are transmitted: a common message transmitted by both the informed and uninformed encoders, and an individual message transmitted by only the uninformed encoder. We derive inner and outer bounds on the capacity region of this model in the discrete memoryless case as well as the Gaussian case. Further, we show that the bounds for the Gaussian case are tight in some special cases.