The Capacity Region of Restricted Multi-Way Relay Channels with Deterministic Uplinks

TL;DR

This paper derives the capacity region for a specific class of multi-way relay channels with deterministic uplinks, where users cannot directly communicate and their transmissions depend solely on their own messages.

Contribution

It provides the first explicit capacity region characterization for restricted MWRCs with deterministic uplinks under the specified constraints.

Findings

Capacity region characterized for the specified MWRC class

No direct user-to-user links in the model

Transmission depends only on individual messages

Abstract

This paper considers the multi-way relay channel (MWRC) where multiple users exchange messages via a single relay. The capacity region is derived for a special class of MWRCs where (i) the uplink and the downlink are separated in the sense that there is no direct user-to-user links, (ii) the channel is restricted in the sense that each user's transmitted channel symbols can depend on only its own message, but not on its received channel symbols, and (iii) the uplink is any deterministic function.