New results in binary multiple descriptions
IEEE Transactions on Information Theory
Elements of information theory
Elements of information theory
Vector Gaussian multiple description with two levels of receivers
IEEE Transactions on Information Theory
Symmetrical multilevel diversity coding
IEEE Transactions on Information Theory
On symmetrical multilevel diversity coding
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
The worst additive noise under a covariance constraint
IEEE Transactions on Information Theory
Multiple description coding with many channels
IEEE Transactions on Information Theory
n-channel symmetric multiple descriptions - part I: (n, k) source-channel erasure codes
IEEE Transactions on Information Theory
n-channel symmetric multiple descriptions-part II: An achievable rate-distortion region
IEEE Transactions on Information Theory
Near sufficiency of random coding for two descriptions
IEEE Transactions on Information Theory
Distortion Bounds for Broadcasting With Bandwidth Expansion
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
Multiple Description Quantization Via Gram–Schmidt Orthogonalization
IEEE Transactions on Information Theory
Vector Gaussian Multiple Description With Individual and Central Receivers
IEEE Transactions on Information Theory
An Improved Outer Bound for Multiterminal Source Coding
IEEE Transactions on Information Theory
Gaussian Interference Channel Capacity to Within One Bit
IEEE Transactions on Information Theory
Multilevel diversity coding with distortion
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
IEEE Transactions on Information Theory
Approximate characterizations for the Gaussian broadcasting distortion region
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
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
Distortion exponent for multiple description coding
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Asymmetric multilevel diversity coding and asymmetric Gaussian multiple descriptions
IEEE Transactions on Information Theory
New coding schemes for the symmetric K -description problem
IEEE Transactions on Information Theory
N-channel asymmetric entropy-constrained multiple-description lattice vector quantization
IEEE Transactions on Information Theory
Hi-index | 755.08 |
We consider multiple description (MD) coding for the Gaussian source with K descriptions under the symmetric meansquared error (MSE) distortion constraints, and provide an approximate characterization of the rate region. We show that the rate region can be sandwiched between two polytopes, between which the gap can be upper-bounded by constants dependent on the number of descriptions, but independent of the distortion constraints. Underlying this result is an exact characterization of the lossless multilevel diversity source coding problem: a lossless counterpart of the MD problem. This connection provides a polytopic template for the inner and outer bounds to the rate region. In order to establish the outer bound, we generalize Ozarow's technique to introduce a strategic expansion of the original probability space by more than one random variable. For the symmetric rate case with any number of descriptions, we show that the gap between the upper bound and the lower bound for the individual description rate-distortion function is no larger than 0.92 bit. The results developed in this work also suggest that the "separation" approach of combining successive refinement quantization and lossless multilevel diversity coding is a competitive one, since its performance is only a constant away from the optimum. The results are further extended to general sources under the MSE distortion measure, where a similar but looser bound on the gap holds.