An optimal coding strategy for the binary multi-way relay channel

Authors:
Lawrence Ong;Sarah J. Johnson;Christopher M. Kellett
Affiliations:
School of Electrical Engineering and Computer Science, The University of Newcastle, University Drive, Callaghan, Australia;School of Electrical Engineering and Computer Science, The University of Newcastle, University Drive, Callaghan, Australia;School of Electrical Engineering and Computer Science, The University of Newcastle, University Drive, Callaghan, Australia
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

We derive the capacity of the binary multi-way relay channel, in which multiple users exchange messages at a common rate through a relay. The capacity is achieved using a novel functional-decode-forward coding strategy. In the functional-decode-forward coding strategy, the relay decodes functions of the users' messages without needing to decode individual messages. The functions to be decoded by the relay are defined such that when the relay broadcasts the functions back to the users, every user is able to decode the messages of all other users.