The Arbitrarily Varying Broadcast Channel with Degraded Message Sets with Causal Side Information at the Encoder

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Abstract

In this work, we study the arbitrarily varying
broadcast channel (AVBC), when state information is available
at the transmitter in a causal manner. We establish inner and
outer bounds on both the random code capacity region and
the deterministic code capacity region with degraded message
sets. The capacity region is then determined for a class of
channels satisfying a condition on the mutual informations
between the strategy variables and the channel outputs. As an
example, we consider the arbitrarily varying binary symmetric
broadcast channel with correlated noises. We show cases where
the condition holds, hence the capacity region is determined, and
other cases where there is a gap between the bounds.
Original languageEnglish
Title of host publicationInternational Zurich Seminar on Information and Communication (IZS 2018). Proceedings
EditorsAmos Lapidoth, Stefan M. Moser
Place of PublicationZurich
Pages20 - 24
DOIs
StatePublished - 2018
EventInternational Zurich Seminar on Information and Communication - Zurich
Duration: 21 Feb 201823 Feb 2018
https://www.research-collection.ethz.ch/handle/20.500.11850/242151

Conference

ConferenceInternational Zurich Seminar on Information and Communication
Abbreviated titleIZS
CityZurich
Period21/02/1823/02/18
Internet address

Keywords

  • Arbitrarily varying channel
  • broadcast channel
  • degraded message sets
  • causal state information
  • Shannon strategies
  • side information
  • minimax theorem
  • deterministic code
  • random code
  • symmetrizability

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