The Capacity Region of the Restricted Two-Way Relay Channel with Any Deterministic Uplink

TL;DR

This paper derives the capacity region for a restricted two-way relay channel where users transmit deterministic functions of their messages, with arbitrary downlink channels, expanding understanding of relay communication limits.

Contribution

It provides the first explicit capacity region characterization for the restricted TWRC with deterministic uplink functions and arbitrary downlink channels.

Findings

Capacity region explicitly characterized

Applicable to any deterministic uplink and arbitrary downlink channels

Advances theoretical understanding of two-way relay channels

Abstract

This paper considers the two-way relay channel (TWRC) where two users communicate via a relay. For the restricted TWRC where the uplink from the users to the relay is any deterministic function and the downlink from the relay to the users is any arbitrary channel, the capacity region is obtained. The TWRC considered is restricted in the sense that each user can only transmit a function of its message.