Continuous-time directed information and its role in communication

Haim H. Permuter, Young Han Kim, Tsachy Weissman

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

Abstract

The notion of directed information was recently introduced for stochastic processes in continuous time. The key idea of the definition is to consider all possible time partitions of a given interval. Unlike the definition of mutual information of discrete-time random variables with continuous alphabets where the supremum over all possible partitions of the alphabets plays an important role, here the infimum over all possible time-partition plays an important role. We show that the fundamental limit on reliable communication for a wide class of continuous-time channels with feedback are characterized using the notion of continuous-time directed information.

Original languageEnglish
Title of host publication2011 IEEE Information Theory Workshop, ITW 2011
Pages190-194
Number of pages5
DOIs
StatePublished - 21 Dec 2011
Event2011 IEEE Information Theory Workshop, ITW 2011 - Paraty, Brazil
Duration: 16 Oct 201120 Oct 2011

Publication series

Name2011 IEEE Information Theory Workshop, ITW 2011

Conference

Conference2011 IEEE Information Theory Workshop, ITW 2011
Country/TerritoryBrazil
CityParaty
Period16/10/1120/10/11

Keywords

  • Continuous-time communication
  • Duncan's theorem
  • Poisson channel
  • directed information
  • feedback capacity

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