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The Arbitrarily Varying Multiple-Access Channel With Conferencing Encoders

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2 Author(s)
Moritz Wiese ; Lehrstuhl für Theoretische Informationstechnik, Technische Universität München, Munich, Germany ; Holger Boche

We derive the capacity region of arbitrarily varying multiple-access channels (AV-MACs) with conferencing encoders for both deterministic and random coding. For a complete description, it is sufficient that one conferencing capacity is positive. We obtain a dichotomy: either the channel's deterministic capacity region is zero or it equals the 2-D random coding region. We determine exactly when either case holds. We also discuss the benefits of conferencing. We give the example of an AV-MAC which does not achieve any nonzero rate pair without encoder cooperation, but the 2-D random coding capacity region if conferencing is possible. Unlike compound multiple-access channels, arbitrarily varying multiple-access channels may exhibit a discontinuous increase of the capacity region when conferencing in at least one direction is enabled.

Published in:

IEEE Transactions on Information Theory  (Volume:59 ,  Issue: 3 )