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- Title
A Coding Theorem for f-Separable Distortion Measures.
- Authors
Shkel, Yanina; Verdú, Sergio
- Abstract
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.
- Subjects
RATE distortion functions; ERGODIC theory; INFORMATION theory; UBIQUITOUS computing; MEMORYLESS systems
- Publication
Entropy, 2018, Vol 20, Issue 2, p111
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e20020111