Vector Gaussian Multiple Description With Individual and Central Receivers

  • Authors:
  • Hua Wang;P. Viswanath

  • Affiliations:
  • Univ. of Illinois at Urbana-Champaign, Urbana;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2007

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Abstract

T multiple descriptions of a vector Gaussian source for individual and central receivers are investigated. The sum rate of the descriptions with covariance distortion measure constraints, in a positive semidefinite ordering, is exactly characterized. For two descriptions, the entire rate region is characterized. The key component of the solution is a novel information-theoretic inequality that is used to lower-bound the achievable multiple description rates. Jointly Gaussian descriptions are optimal in achieving the limiting rates. We also show the robustness of this description scheme: the distortions achieved are no larger when used to describe any non-Gaussian source with the same covariance matrix.