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

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorStylianou, Evagorasen_US
dc.contributor.authorCharalambous, Charalambos D.en_US
dc.contributor.authorCharalambous, Themistoklisen_US
dc.contributor.departmentDepartment of Electrical Engineering and Automationen
dc.contributor.groupauthorDistributed and Networked Control Systemsen
dc.contributor.organizationTechnical University of Munichen_US
dc.contributor.organizationUniversity of Cyprusen_US
dc.date.accessioned2021-11-04T05:04:08Z
dc.date.available2021-11-04T05:04:08Z
dc.date.issued2021-09-01en_US
dc.descriptionFunding Information: VII. ACKNOWLEDGMENTS This work was supported in parts by the European Regional Development Fund and the Republic of Cyprus through the Research Promotion Foundation Projects EXCELLENCE/1216/0365 and EXCELLENCE/1216/0296. Publisher Copyright: © 2021 IEEE.
dc.description.abstractIn 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.en
dc.description.versionPeer revieweden
dc.format.extent6
dc.format.extent2167-2172
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationStylianou, E, Charalambous, C D & Charalambous, T 2021, Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria . in Proceedings of IEEE International Symposium on Information Theory, ISIT 2021 . IEEE, pp. 2167-2172, IEEE International Symposium on Information Theory, Melbourne, Australia, 12/07/2021 . https://doi.org/10.1109/ISIT45174.2021.9518279en
dc.identifier.doi10.1109/ISIT45174.2021.9518279en_US
dc.identifier.isbn9781538682098
dc.identifier.issn2157-8095
dc.identifier.otherPURE UUID: 27003dcc-1281-4134-a71d-b85d805645f8en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/27003dcc-1281-4134-a71d-b85d805645f8en_US
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85115092144&partnerID=8YFLogxKen_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/69477614/ELEC_Stylianou_etal_Joint_Rate_Distortion_Function_IEEE_ISIT_2021.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/110799
dc.identifier.urnURN:NBN:fi:aalto-202111049972
dc.language.isoenen
dc.relation.ispartofIEEE International Symposium on Information Theoryen
dc.relation.ispartofseriesProceedings of IEEE International Symposium on Information Theory, ISIT 2021en
dc.relation.ispartofseriesIEEE International Symposium on Information Theory - Proceedingsen
dc.relation.ispartofseriesVolume 2021-Julyen
dc.rightsopenAccessen
dc.titleJoint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteriaen
dc.typeA4 Artikkeli konferenssijulkaisussafi
dc.type.versionacceptedVersion

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