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Medientyp:
E-Artikel
Titel:
A Coding Theorem for f-Separable Distortion Measures
Beteiligte:
Shkel, Yanina;
Verdú, Sergio
Erschienen:
MDPI AG, 2018
Erschienen in:
Entropy, 20 (2018) 2, Seite 111
Sprache:
Englisch
DOI:
10.3390/e20020111
ISSN:
1099-4300
Entstehung:
Anmerkungen:
Beschreibung:
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.