Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria

Evagoras Stylianou, Charalambos D. Charalambous, Themistoklis Charalambous

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

5 Citations (Scopus)
86 Downloads (Pure)

Abstract

In this paper we analyze the joint rate distortion function (RDF), for a tuple of correlated sources taking values in abstract alphabet spaces (i.e., continuous) subject to two individual distortion criteria. First, we derive structural properties of the realizations of the reproduction Random Variables (RVs), which induce the corresponding optimal test channel distributions of the joint RDF. Second, we consider a tuple of correlated multivariate jointly Gaussian RVs, X_{1}:\Omega\rightarrow \mathbb{R}^{p_{1, X_{2}:\Omega\rightarrow \mathbb{R}^{p_{2 with two square-error fidelity criteria, and we derive additional structural properties of the optimal realizations, and use these to characterize the RDF as a convex optimization problem with respect to the parameters of the realizations. We show that the computation of the joint RDF can be performed by semidefinite programming. Further, we derive closed-form expressions of the joint RDF, such that Gray's [1] lower bounds hold with equality, and verify their consistency with the semidefinite programming computations.

Original languageEnglish
Title of host publicationProceedings of IEEE International Symposium on Information Theory, ISIT 2021
PublisherIEEE
Pages2167-2172
Number of pages6
ISBN (Electronic)978-1-5386-8209-8
DOIs
Publication statusPublished - 1 Sept 2021
MoE publication typeA4 Conference publication
EventIEEE International Symposium on Information Theory - Virtual, online, Melbourne, Australia
Duration: 12 Jul 202120 Jul 2021
https://2021.ieee-isit.org/

Conference

ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
Country/TerritoryAustralia
CityMelbourne
Period12/07/202120/07/2021
Internet address

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