Simple one-shot bounds for various source coding problems using smooth Rényi quantities

Simple one-shot bounds for various source coding problems using smooth Rényi quantities 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. Problems of Information Transmission Springer Journals

Simple one-shot bounds for various source coding problems using smooth Rényi quantities

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Pleiades Publishing
Copyright © 2016 by Pleiades Publishing, Inc.
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
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