Vector Gaussian multiple description with two levels of receivers

Research output: Contribution to journalArticle

Abstract

The problem of L multiple descriptions of a stationary and ergodic Gaussian source with two levels of receivers is investigated. Each of the first-level receivers receive (an arbitrary subset) k of the L descriptions, (k < L). The second-level receiver receives all L descriptions. All the receivers, both at the first level and the second level, reconstruct the source using the subset of descriptions they receive. The corresponding reconstructions are subject to quadratic distortion constraints. Our main result is the derivation of an outer bound on the sum rate of the descriptions so that the distortion constraints are met. We show that an analog-digital separation architecture involving joint Gaussian vector quantizers and a binning scheme meets this outer bound with equality for several scenarios. These scenarios include the case when the distortion constraints are symmetric and the case for general distortion constraints with k = 2 and L = 3.

Original languageEnglish (US)
Pages (from-to)401-410
Number of pages10
JournalIEEE Transactions on Information Theory
Volume55
Issue number1
DOIs
StatePublished - Jan 22 2009

Keywords

  • Binning
  • Gaussian source
  • Inner bound
  • Multiple description problem
  • Outer bound
  • Rate distortion

ASJC Scopus subject areas

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

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