Skip to main navigation Skip to search Skip to main content

Shannon Capacity is Achievable for a Large Class of Interactive Markovian Protocols

Assaf Ben-Yishai, Ofer Shayevitz, Young Han Kim

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We address the problem of simulating a binary interactive protocol over a pair of binary symmetric channels with crossover probability ϵ. We are interested in the achievable rates of reliable simulation, i.e., in characterizing the smallest possible blowup in communications such that a vanishing error probability in the protocol length can be attained. We analyze the family of Mth-order Markovian protocols in which the transmission at every time depends only on the last M bits of the protocol. For M =1 (first-order Markovian) we prove that all protocols can be simulated at Shannon's capacity. For M > 1 we characterize large classes of protocols that can be simulated at Shannon's capacity.

Original languageEnglish
Title of host publication2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2863-2867
Number of pages5
ISBN (Electronic)9781538692912
DOIs
StatePublished - Jul 2019
Event2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France
Duration: 7 Jul 201912 Jul 2019

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2019-July

Conference

Conference2019 IEEE International Symposium on Information Theory, ISIT 2019
Country/TerritoryFrance
CityParis
Period7/07/1912/07/19

All Science Journal Classification (ASJC) codes

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

Fingerprint

Dive into the research topics of 'Shannon Capacity is Achievable for a Large Class of Interactive Markovian Protocols'. Together they form a unique fingerprint.

Cite this