Capacity of the Ising channel with feedback

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3 Scopus citations

Abstract

In this paper we consider the Ising channel, which is a channel with memory. We formulate a dynamic program that characterizes the capacity of the Ising channel with feedback and solve it numerically using the value iteration algorithm. We then establish analytically that the feedback capacity is the expression C = (2H(a)/ 3+a) ≈ 0.575522 where a is a particular root of a fourth-degree polynomial and, simultaneously, is the value that maximizes (2H(z)/3+z) over 0 ≤ z ≤ 1, where H(z) is the binary entropy function.

Original languageEnglish
Title of host publication2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Pages3004-3008
Number of pages5
DOIs
StatePublished - 26 Oct 2011
Event2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011 - St. Petersburg, Russian Federation
Duration: 31 Jul 20115 Aug 2011

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8104

Conference

Conference2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Country/TerritoryRussian Federation
CitySt. Petersburg
Period31/07/115/08/11

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