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Article

A Coding Theorem for f-Separable Distortion Measures

Department of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA
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Author to whom correspondence should be addressed.
Entropy 2018, 20(2), 111; https://doi.org/10.3390/e20020111
Received: 10 December 2017 / Revised: 29 January 2018 / Accepted: 2 February 2018 / Published: 8 February 2018
(This article belongs to the Special Issue Rate-Distortion Theory and Information Theory)
In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties. The main insight behind f -separable distortion measures is to define an n-letter distortion measure to be an f -mean of single-letter distortions. We prove a rate-distortion coding theorem for stationary ergodic sources with f -separable distortion measures, and provide some illustrative examples of the resulting rate-distortion functions. Finally, we discuss connections between f -separable distortion measures, and the subadditive distortion measure previously proposed in literature. View Full-Text
Keywords: rate-distortion function; f-separable distortion measure; subadditive distortion measure rate-distortion function; f-separable distortion measure; subadditive distortion measure
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MDPI and ACS Style

Shkel, Y.; Verdú, S. A Coding Theorem for f-Separable Distortion Measures. Entropy 2018, 20, 111. https://doi.org/10.3390/e20020111

AMA Style

Shkel Y, Verdú S. A Coding Theorem for f-Separable Distortion Measures. Entropy. 2018; 20(2):111. https://doi.org/10.3390/e20020111

Chicago/Turabian Style

Shkel, Yanina, and Sergio Verdú. 2018. "A Coding Theorem for f-Separable Distortion Measures" Entropy 20, no. 2: 111. https://doi.org/10.3390/e20020111

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