The Gaussian Many-Help-One Distributed Source Coding Problem

dc.creatorTavildar, Saurabha
dc.creatorViswanath, Pramod
dc.creatorWagner, Aaron B.
dc.date2008-05-13
dc.date.accessioned2026-07-07T09:38:36Z
dc.date.available2026-07-07T09:38:36Z
dc.descriptionJointly Gaussian memoryless sources are observed at N distinct terminals. The goal is to efficiently encode the observations in a distributed fashion so as to enable reconstruction of any one of the observations, say the first one, at the decoder subject to a quadratic fidelity criterion. Our main result is a precise characterization of the rate-distortion region when the covariance matrix of the sources satisfies a "tree-structure" condition. In this situation, a natural analog-digital separation scheme optimally trades off the distributed quantization rate tuples and the distortion in the reconstruction: each encoder consists of a point-to-point Gaussian vector quantizer followed by a Slepian-Wolf binning encoder. We also provide a partial converse that suggests that the tree structure condition is fundamental.
dc.identifierhttps://arxiv.org/abs/0805.1857
dc.identifierhttp://arxiv.org/abs/0805.1857
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160868
dc.subjectInformation Theory
dc.titleThe Gaussian Many-Help-One Distributed Source Coding Problem
dc.typetext

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