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

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 a...

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Bibliographic Details
Published inIEEE transactions on communications Vol. 61; no. 8; pp. 3125 - 3135
Main Authors Ong, L., Lechner, G., Johnson, S. J., Kellett, C. M.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.08.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Additives
Applied sciences
Bidirectional relaying
Channel coding
Channels
Coding
Coding, codes
common information
correlated sources
Correlation
Exact sciences and technology
finite-field channel
functional-decode-forward
Information, signal and communications theory
linear block codes
Messages
multi-way relay channel
Mutual information
Noise
Noise measurement
Relay
Relays
Signal and communications theory
Source coding
Symbols
Telecommunications and information theory
Additive noise
Block code
Finite field
Relaying
Bidirectional link
Relay
Source coding
linear block codes
Bidirectional relaying
common information
Channel coding
finite-field channel
Linear code
Relay channel
correlated sources
functional-decode-forward
Mutual information
multi-way relay channel
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ISSN0090-6778
1558-0857
DOI10.1109/TCOMM.2013.061913.120987

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Summary: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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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2013.061913.120987