The arbitrarily varying degraded broadcast channel with causal side information at the encoder

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Abstract

In this work, we study the arbitrarily varying degraded broadcast channel (AVDBC), 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. 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 show that the condition holds for the arbitrarily varying binary symmetric broadcast channel, and we find the corresponding capacity region.

Original languageEnglish
Title of host publication2017 IEEE International Symposium on Information Theory, ISIT 2017
Pages1033-1037
Number of pages5
ISBN (Electronic)9781509040964
DOIs
StatePublished - 9 Aug 2017
Event2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany
Duration: 25 Jun 201730 Jun 2017

Publication series

NameIEEE International Symposium on Information Theory - Proceedings

Conference

Conference2017 IEEE International Symposium on Information Theory, ISIT 2017
Country/TerritoryGermany
CityAachen
Period25/06/1730/06/17

Keywords

  • Arbitrarily varying channel
  • Causal state information
  • Degraded broadcast channel
  • Deterministic code
  • Minimax theorem
  • Random code
  • Shannon strategies
  • Side information
  • Symmetrizability

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Applied Mathematics
  • Modelling and Simulation

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