Information-Singularity and Recoverability of Random Processes

Research output: Contribution to journalArticle

Abstract

Two notions of information-singular and strong information-singular random processes were proposed by Berger as processes which are deterministic or negligible in a physically meaningful, information theoretic sense. This paper serves two purposes. First, it shows that strong information-singularity of a random process is equivalent to information-singularity plus a quite different property called recoverability. Secondly, it shows that these properties can be completely characterized in the case where the processes of interest are (jointly) stationary and satisfy a mild integrability condition.

Original languageEnglish (US)
Pages (from-to)422-429
Number of pages8
JournalIEEE Transactions on Information Theory
Volume28
Issue number3
DOIs
StatePublished - May 1982

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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