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Bounds on Data Compression Ratio with a Given Tolerable Error Probability

Published online by Cambridge University Press:  27 July 2009

Ilan Sadeh
Ilan Sadeh
Affiliation:
Visnet Ltd., P.O. Box 627, Pardessiya, 42815, Israel
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Abstract

The paper treats data compression from the viewpoint of probability theory where a certain error probability is tolerable. We obtain bounds for the minimal rate given an error probability for blockcoding of general stationary ergodic sources. An application of the theory of large deviations provides numerical methods to compute for memoryless sources, the minimal compression rate given a tolerable error probability. Interesting connections between Cramer's functions and Shannon's theory for lossy coding are found.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 2 , April 1998 , pp. 189 - 210
Copyright
Copyright © Cambridge University Press 1998

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