Bounds on the rate-distortion function for stationary sources with memory

1 September 1971

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory

Vol. 17 (5) , 508-513
https://doi.org/10.1109/tit.1971.1054699

Abstract

In this paper, we study discrete-time stationary sourcesSwith memory. The rateR(\beta)of the source relative to a distortion measure is compared withR^ \ast (\beta), the rate of the memoryless sourceS^ /astwith the same marginal statistics asS. We show thatR^ \ast (\beta) - \Delta \leq R(\beta) \leq R^ \ast (\beta), where\Deltais a measure of the memory of the source. A number of interesting applications of these bounds are given.

Keywords

This publication has 3 references indexed in Scilit:

Information rates of Wiener processes
IEEE Transactions on Information Theory, 1970
On Communication of Analog Data from a Bounded Source Space
Bell System Technical Journal, 1969
A coding theorem for time-discrete analog data sources
IEEE Transactions on Information Theory, 1969