Capacity of the Trapdoor Channel with Delayed Feedback

Bashar Huleihel, Oron Sabag, Haim H. Permuter

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

2 Scopus citations

Abstract

We show that the trapdoor channel's capacity with delayed feedback of two time-instances is given by C2fb = log 2(3/2). This demonstrates that the feedback capacity degrades sharply even with a single time-instance delay of the channel outputs. The capacity result is established by showing that the delayed feedback capacity can be formulated as a capacity problem with instantaneous feedback and an extended state. Consequently, graph-based methods can be applied to obtain new computable upper and lower bounds on the capacity, which are shown to coincide for the trapdoor channel.

Original languageAmerican English
Title of host publication2022 IEEE International Symposium on Information Theory, ISIT 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages492-497
Number of pages6
ISBN (Electronic)9781665421591
DOIs
StatePublished - 2022
Externally publishedYes
Event2022 IEEE International Symposium on Information Theory, ISIT 2022 - Espoo, Finland
Duration: 26 Jun 20221 Jul 2022

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2022-June
ISSN (Print)2157-8095

Conference

Conference2022 IEEE International Symposium on Information Theory, ISIT 2022
Country/TerritoryFinland
CityEspoo
Period26/06/221/07/22

Bibliographical note

Publisher Copyright:
© 2022 IEEE.

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