On the rate-distortion function of random vectors and stationary sources with mixed distributions

Author

György, András ; Linder, Tamás ; Zeger, Kenneth

Author_Institution

Fac. of Electr. Eng. & Inf., Tech. Univ. Budapest, Hungary

Volume

45

Issue

6

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

2110

Lastpage

2115

Abstract

The asymptotic (small distortion) behavior of the rate-distortion function of an n-dimensional source vector with mixed distribution is derived. The source distribution is a finite mixture of components such that under each component distribution a certain subset of the coordinates have a discrete distribution while the remaining coordinates have a joint density. The expected number of coordinates with a joint density is shown to equal the rate-distortion dimension of the source vector. Also, the exact small distortion asymptotic behavior of the rate-distortion function of a special but interesting class of stationary information sources is determined

Keywords

functional analysis; random processes; rate distortion theory; statistical analysis; vectors; asymptotic behavior; coordinates; joint density; mixed distributions; random vectors; rate-distortion function; small distortion behavior; source distribution; source vector; stationary information sources; stationary sources; Distributed computing; Entropy; Euclidean distance; Functional analysis; Information analysis; Mutual information; Quantization; Rate distortion theory; Rate-distortion; Source coding;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.782151

Filename

782151