Source Coding in Networks with Covariance Distortion Constraints

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Title: Source Coding in Networks with Covariance Distortion Constraints
Authors: Naylor, PA
Zahedi, A
Jensen, S
Bech, S
Item Type: Journal Article
Abstract: We consider a source coding problem with a network scenario in mind, and formulate it as a remote vector Gaussian Wyner-Ziv problem under covariance matrix distortions. We define a notion of minimum for two positive-definite matrices based on which we derive an explicit formula for the rate-distortion function (RDF). We then study the special cases and applications of this result. We show that two well-studied source coding problems, i.e. remote vector Gaussian Wyner- Ziv problems with mean-squared error and mutual information constraints are in fact special cases of our results. Finally, we apply our results to a joint source coding and denoising problem. We consider a network with a centralized topology and a given weighted sum-rate constraint, where the received signals at the center are to be fused to maximize the output SNR while enforcing no linear distortion. We show that one can design the distortion matrices at the nodes in order to maximize the output SNR at the fusion center. We thereby bridge between denoising and source coding within this setup.
Issue Date: 29-Aug-2016
Date of Acceptance: 9-Aug-2016
ISSN: 1053-587X
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Start Page: 5943
End Page: 5958
Journal / Book Title: IEEE Transactions on Signal Processing
Volume: 64
Issue: 22
Copyright Statement: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: PITN-GA-2012-316969
Keywords: Networking & Telecommunications
MD Multidisciplinary
Publication Status: Published
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering

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