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A general formula of rate-distortion functions for source coding with side information at many decoders

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2 Author(s)
Matsuta, T. ; Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Tokyo, Japan ; Uyematsu, T.

Heegard and Berger introduced the model of lossy source coding in which side information is available at many decoders. For this model, their showed an upper bound of the rate-distortion function in the case where the source is stationary memoryless. In this paper, we extend their model to the case where the source may be nonstationary and/or nonergodic, and clarify the rate-distortion function for this model. This result is based on the information-spectrum method introduced by Han and Verdú. We also show some special cases of the rate-distortion function, and a single-letterized upper bound of the rate-distortion function in the case where the source is stationary memoryless.

Published in:

Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on

Date of Conference:

1-6 July 2012

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