Zero-error capacity region of a class of multiple access channels with inter-user correlation

Abstract

In this paper, we investigate zero-error communication over M-user multiple access channels with correlated transmitters. The correlation among the users is modeled by means of both a common message seen by all encoders as well as pairwise shared messages. Motivated by networked control systems, we use tools from nonstochastic information theory to characterize the zero-error capacity region of the investigated channel. To this end, both converse and achievability proofs are provided.