Probability, random processes, and estimation theory for engineers
Probability, random processes, and estimation theory for engineers
The CEO problem [multiterminal source coding]
IEEE Transactions on Information Theory
The quadratic Gaussian CEO problem
IEEE Transactions on Information Theory
Gaussian multiterminal source coding
IEEE Transactions on Information Theory
The rate-distortion function for the quadratic Gaussian CEO problem
IEEE Transactions on Information Theory
The worst additive noise under a covariance constraint
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
Rate Region of the Quadratic Gaussian Two-Encoder Source-Coding Problem
IEEE Transactions on Information Theory
The sum-rate bound for a new class of quadratic Gaussian multiterminal source coding problems
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
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We show that the minimum sum rate of the Gaussian multiterminal source coding problems can be derived in a unified manner by exploiting the semidefinite partial order of the distortion covariance matrices associated with the MMSE estimation and the so-called reduced optimal linear estimation. In contrast to the existing proofs, the new method does not rely on Shannon's entropy power inequality. Furthermore, this new method leads to a direct proof of the minimum sum rate of the Gaussian two-terminal source coding problem without coupling it to a Gaussian CEO problem.