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On the Achievable Rate Region in the Optimistic Sense for Separate Coding of Two Correlated General Sources
Hiroki KOGA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E95A
No.12
pp.21002106 Publication Date: 2012/12/01
Online ISSN: 17451337
DOI: 10.1587/transfun.E95.A.2100
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications) Category: Source Coding Keyword: correlated sources, general source, optimistic coding, achievable rate region, informationspectrum methods,
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Summary:
This paper is concerned with coding theorems in the optimistic sense for separate coding of two correlated general sources X_{1} and X_{2}. We investigate the achievable rate region R_{opt} (X_{1},X_{2}) such that the decoding error probability caused by two encoders and one decoder can be arbitrarily small infinitely often under a certain rate constraint. We give an inner and an outer bounds of R_{opt} (X_{1},X_{2}), where the outer bound is described by using new informationtheoretic quantities. We also give two simple sufficient conditions under which the inner bound coincides with the outer bound.

