Distributed Source Coding, Multiple Description Coding, and Source Coding with Side Information at Decoders Using Constrained-Random Number Generators

Name: Distributed Source Coding, Multiple Description Coding, and Source Coding with Side Information at Decoders Using Constrained-Random Number Generators
Creator: Jun Muramatsu
Keywords: FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

Jun Muramatsu

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Preprint . 2024

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https://dx.doi.org/10.48550/ar...

Article . 2024

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Distributed Source Coding, Multiple Description Coding, and Source Coding with Side Information at Decoders Using Constrained-Random Number Generators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:arXivJournal:CoRR, volume abs/2410.07939

Authors: Jun Muramatsu;

doi: 10.48550/arxiv.2410.07939

arXiv: 2410.07939

Distributed Source Coding, Multiple Description Coding, and Source Coding with Side Information at Decoders Using Constrained-Random Number Generators

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Abstract

This paper investigates a unification of distributed source coding, multiple description coding, and source coding with side information at decoders. The equivalence between the multiple-decoder extension of distributed source coding with decoder side information and the multiple-source extension of multiple description coding with decoder side information is clarified. Their multi-letter rate-distortion region for arbitrary general correlated sources is characterized in terms of entropy functions. We construct a code based on constrained-random number generators and show its achievability.

42 pages, a part of this paper (Section V and IV-B and some appendices) inherits the contents from arXiv:2401.13232[cs.IT], (v2) fixed typos

Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

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