Simple one-shot bounds for various source coding problems using smooth Rényi quantities
- Authors: Warsi N.A.1
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Affiliations:
- School of Technology and Computer Science
- Issue: Vol 52, No 1 (2016)
- Pages: 39-65
- Section: Source Coding
- URL: https://journal-vniispk.ru/0032-9460/article/view/166259
- DOI: https://doi.org/10.1134/S0032946016010051
- ID: 166259
Cite item
Abstract
We consider the problem of source compression under three different scenarios in the one-shot (nonasymptotic) regime. To be specific, we prove one-shot achievability and converse bounds on the coding rates for distributed source coding, source coding with coded side information available at the decoder, and source coding under maximum distortion criterion. The one-shot bounds obtained are in terms of smooth max Rényi entropy and smooth max Rényi divergence. Our results are powerful enough to yield the results that are known for these problems in the asymptotic regime both in the i.i.d. (independent and identically distributed) and non-i.i.d. settings.
About the authors
N. A. Warsi
School of Technology and Computer Science
Author for correspondence.
Email: warsi.naqueeb@gmail.com
India, Mumbai
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