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arXiv · 1201.1684

The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources

Lawrence Ong·Gottfried Lechner·Sarah J. Johnson·Christopher M. Kellett
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Abstract

This paper studies the three-user finite-field multi-way relay channel, where the users exchange messages via a relay. The messages are arbitrarily correlated, and the finite-field channel is linear and is subject to additive noise of arbitrary distribution. The problem is to determine the minimum achievable source-channel rate, defined as channel uses per source symbol needed for reliable communication. We combine Slepian-Wolf source coding and functional-decode-forward channel coding to obtain the solution for two classes of source and channel combinations. Furthermore, for correlated sources that have their common information equal their mutual information, we propose a new coding scheme to achieve the minimum source-channel rate.

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Lawrence Ong, Gottfried Lechner, Sarah J. Johnson, Christopher M. Kellett. 2012-01-09. The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources. https://doi.org/10.1109/tcomm.2013.13.120987

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