The Arbitrarily Varying Multiple-Access Channel with Conferencing Encoders

Moritz Wiese; Holger Boche

doi:10.1109/tit.2012.2229779

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arXiv · 1105.0319

The Arbitrarily Varying Multiple-Access Channel with Conferencing Encoders

Moritz Wiese·Holger Boche

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Abstract

We derive the capacity region of arbitrarily varying multiple-access channels 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 two-dimensional 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 non-zero rate pair without encoder cooperation, but the two-dimensional 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.

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Moritz Wiese, Holger Boche. 2012-11-13. The Arbitrarily Varying Multiple-Access Channel with Conferencing Encoders. https://doi.org/10.1109/tit.2012.2229779

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