Computer Science – Information Theory
Scientific paper
2012-01-09
Computer Science
Information Theory
submitted to IEEE Transactions on Information Theory
Scientific paper
This paper studies the three-user finite field multi-way relay channel with correlated sources, where three users exchange possibly correlated messages via a relay. Full data exchange is considered where each user is to decode the messages from the other two users. There is no direct link among the users; the uplink from the users to the relay and the downlinks from the relay to the users are finite field adder channels with independent additive noise of arbitrary distributions. The problem is to determine the set of all achievable rates, defined as channel uses per source symbol for reliable communication. Using the Slepian-Wolf source coding and a functional-decode-forward channel coding scheme, the solution is obtained for two classes of source and channel combinations. Furthermore, for correlated sources with common cores, two new functional-decode-forward coding schemes are constructed and are shown to obtain the set of all achievable rates for any source and channel combination.
Johnson Sarah J.
Kellett Christopher M.
Lechner Gottfried
Ong Lawrence
Timo Roy
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