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

Title:
Distributed Source Coding, Multiple Description Coding, and Source Coding with Side Information at Decoders Using Constrained-Random Number Generators
Authors:
Muramatsu, Jun
Publication Year:
2024
Collection:
Computer Science
Mathematics
Subject Terms:
Computer Science - Information Theory
Document Type:
Report Working Paper
Access URL:
http://arxiv.org/abs/2410.07939
Accession Number:
edsarx.2410.07939
Database:
arXiv

Further Information

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.
Comment: 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