Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 1994 | public
Book Section - Chapter Open

Variable-rate source coding theorems for stationary nonergodic sources


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.

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.


Files (111.3 kB)
Name Size Download all
111.3 kB Preview Download

Additional details

August 22, 2023
August 22, 2023