Distributed Remote Vector Gaussian Source Coding with Covariance Distortion Constraints

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)

Abstract

In this paper, we consider a distributed remote source coding problem, where a sequence of observations of source vectors is available at the encoder. The problem is to specify the optimal rate for encoding the observations subject to a covariance matrix distortion constraint and in the presence of side information at the decoder. For this problem, we derive lower and upper bounds on the rate-distortion function (RDF) for the Gaussian case, which in general do not coincide. We then provide some cases, where the RDF can be derived exactly. We also show that previous results on specific instances of this problem can be generalized using our results. We finally show that if the distortion measure is the mean squared error, or if it is replaced by a certain mutual information constraint, the optimal rate can be derived from our main result.
Original languageEnglish
Title of host publicationInformation Theory (ISIT), 2014 IEEE International Symposium on
PublisherIEEE
Publication dateJun 2014
Pages586-590
ISBN (Print)978-1-4799-5186-4
DOIs
Publication statusPublished - Jun 2014
Event2014 IEEE International Symposium on Information Theory - Honolulu, HI, United States
Duration: 29 Jun 20144 Jul 2014
Conference number: 19248

Conference

Conference2014 IEEE International Symposium on Information Theory
Number19248
CountryUnited States
CityHonolulu, HI
Period29/06/201404/07/2014
SeriesI E E E International Symposium on Information Theory. Proceedings
ISSN2157-8095

    Fingerprint

Cite this

Zahedi, A., Østergaard, J., Jensen, S. H., Naylor, P., & Bech, S. (2014). Distributed Remote Vector Gaussian Source Coding with Covariance Distortion Constraints. In Information Theory (ISIT), 2014 IEEE International Symposium on (pp. 586-590). IEEE. I E E E International Symposium on Information Theory. Proceedings https://doi.org/10.1109/ISIT.2014.6874900