On the rate distortion function of a memoryless gaussian vector source whose components have fixed variances

Autor:	Hoi M. Leung, Stamatis Cambanis
Rok vydání:	1977
Předmět:	Combinatorics Gaussian vector Distortion General Engineering Structure (category theory) Applied mathematics Covariance Rate distortion Upper and lower bounds Engineering(all) Vector space Mathematics
Zdroj:	Information and Control. 34:198-209
ISSN:	0019-9958
DOI:	10.1016/s0019-9958(77)90280-7
Popis:	Consider a memoryless Gaussian vector source and assume that the variances of the components of its i.i.d. vectors are known and that no further information on their covariance structure is available. We study the dependence of the rate distortion function of such a source on the covariance structure of its i.i.d. vectors. In particular we give a lower bound of the rate distortion function, expressed only in terms of the known variances, and we show that it is tighter than the Shannon lower bound over a certain distortion region.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::627bb68e920c2896694a878d0ef89c15 https://doi.org/10.1016/s0019-9958(77)90280-7 Zobrazit plný text záznamu