Asymptotic Rate-Distortion Analysis of Symmetric Remote Gaussian Source Coding: Centralized Encoding vs. Distributed Encoding

Consider a symmetric multivariate Gaussian source with ℓ components, which are corrupted by independent and identically distributed Gaussian noises; these noisy components are compressed at a certain rate, and the compressed version is leveraged to reconstruct the source subject to a mean squared er...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Vol. 21; no. 2; p. 213
Main Authors: Wang, Yizhong, Xie, Li, Zhou, Siyao, Wang, Mengzhen, Chen, Jun
Format: Journal Article
Language:English
Published: Basel MDPI AG 23.02.2019
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ISSN:1099-4300, 1099-4300
Online Access:Get full text
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Summary:Consider a symmetric multivariate Gaussian source with ℓ components, which are corrupted by independent and identically distributed Gaussian noises; these noisy components are compressed at a certain rate, and the compressed version is leveraged to reconstruct the source subject to a mean squared error distortion constraint. The rate-distortion analysis is performed for two scenarios: centralized encoding (where the noisy source components are jointly compressed) and distributed encoding (where the noisy source components are separately compressed). It is shown, among other things, that the gap between the rate-distortion functions associated with these two scenarios admits a simple characterization in the large ℓ limit.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e21020213