On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources

Fuente: arXiv
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Auteurs principaux: Shao, Shuo, Qi, Chao, Dai, Jincheng
Format: Preprint
Publié: 2026
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author Shao, Shuo
Qi, Chao
Dai, Jincheng
author_facet Shao, Shuo
Qi, Chao
Dai, Jincheng
contents In this paper we study the nonasymptotic bounds of a special Joint Source-Channel Coding system with hierarchical source, where an observable source and an unobservable indirect source are required to be reconstructed. Namely, we focus on the achievable and converse bounds of the excess distortion probability in the finite blocklength regime. The main challenge arises from the hierarchical source structure, which requires simultaneous reconstruction of both sources. This setup demands a coding scheme which satisfy the demand of encoding both source for the achievability bound, and a method to characterize the joint excess-distortion probability of two correlated events for the converse bound.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15249
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources
Shao, Shuo
Qi, Chao
Dai, Jincheng
Information Theory
In this paper we study the nonasymptotic bounds of a special Joint Source-Channel Coding system with hierarchical source, where an observable source and an unobservable indirect source are required to be reconstructed. Namely, we focus on the achievable and converse bounds of the excess distortion probability in the finite blocklength regime. The main challenge arises from the hierarchical source structure, which requires simultaneous reconstruction of both sources. This setup demands a coding scheme which satisfy the demand of encoding both source for the achievability bound, and a method to characterize the joint excess-distortion probability of two correlated events for the converse bound.
title On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources
topic Information Theory
url https://arxiv.org/abs/2603.15249