A semi-continuous version of the berger-yeung problem

Toby Berger*, Ram Zamir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present a continuous dual of multiterminal source encoding with one distortion criterion (the "Berger-Yeung problem"). A continuous source X is encoded with "high resolution" (D x → 0), with the aid of a "helper," i.e., a correlated discrete or continuous source Y, that is encoded separately subject to some arbitrary distortion criterion D y. We find the asymptotic form of the set of achievable coding rates R(D x, D y) of the X- and Y-encoders as D x → 0. Two extreme cases of our result provide high-resolution interpretations to the classical work of Wyner, Ahlswede, Körner, and Ziv on source coding with side information.

Original languageEnglish
Pages (from-to)1520-1526
Number of pages7
JournalIEEE Transactions on Information Theory
Volume45
Issue number5
DOIs
StatePublished - 1999

Keywords

  • Berger-yeung problem
  • High resolution
  • Multiterminal source coding
  • Shannon lower bound
  • Side information
  • Wyner-ziv problem

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