Topics in Multi-User Information Theory
Foundations and Trends in Communications and Information Theory
Vector Gaussian multiple description with two levels of receivers
IEEE Transactions on Information Theory
Multiple description coding for stationary Gaussian sources
IEEE Transactions on Information Theory
Approximating the Gaussian multiple description rate region under symmetric distortion constraints
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Gaussian multiple description coding with individual and central distortion constraints
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Successive refinement of vector sources under individual distortion criteria
IEEE Transactions on Information Theory
The Gaussian many-help-one distributed source coding problem
IEEE Transactions on Information Theory
New coding schemes for the symmetric K -description problem
IEEE Transactions on Information Theory
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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.