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Variable-rate source coding theorems for stationary nonergodic sources

Effros, M. and Chou, P. A. and Gray, R. M. (1994) Variable-rate source coding theorems for stationary nonergodic sources. In: IEEE International Symposium on Information Theory (ISIT '94), Trondheim, Norway, 27 June - 1 July 1994. IEEE , Piscataway, NJ, p. 266. ISBN 0-7803-2015-8.

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The source coding theorem and its converse imply that the optimal performance theoretically achievable by a fixed- or variable-rate block quantizer on a stationary ergodic source equals the distortion-rate function. While a fixed-rate block code cannot achieve arbitrarily closely the distortion-rate function on an arbitrary stationary nonergodic source, the authors show for the case of Polish alphabets that a variable-rate block code can. They also show that the distortion-rate function of a stationary nonergodic source has a decomposition as the average over points of equal slope on the distortion-rate functions of the source's stationary ergodic components. These results extend earlier finite alphabet results.

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Additional Information:© Copyright 1994 IEEE. Reprinted with permission. This material is based upon work partially supported by an AT&T Ph.D. Scholarship, by a grant from the Center for Telecommunications at Stanford, and by an NSF Graduate Fellowship.
Subject Keywords:block codes; rate distortion theory; source coding; variable rate codes; source coding theory
Record Number:CaltechAUTHORS:EFFisit94b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7341
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Deposited On:01 Feb 2007
Last Modified:02 Oct 2019 23:41

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