On the optimum average distortion attainable by fixed-rate coding of a nonergodic source
- 1 March 1975
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 21 (2) , 190-193
- https://doi.org/10.1109/tit.1975.1055348
Abstract
A simple proof is given for the Gray-Davisson result on the ergodic decomposition of the optimum average distortion attainable by fixed-rate coding of a nonergodic source, for the special ease of a bounded distortion measure. A second proof is given for a more general class of distortion measures using a result of Ziv.This publication has 3 references indexed in Scilit:
- Source coding theorems without the ergodic assumptionIEEE Transactions on Information Theory, 1974
- Coding of sources with unknown statistics--II: Distortion relative to a fidelity criterionIEEE Transactions on Information Theory, 1972
- ber die Struktur der mittleren EntropieMathematische Zeitschrift, 1962