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

TL;DR

This paper investigates the finite blocklength performance limits of joint source-channel coding systems with hierarchical sources, focusing on bounds for excess distortion probability in a complex reconstruction scenario.

Contribution

It provides new nonasymptotic bounds for hierarchical source coding in joint source-channel systems, addressing both achievable and converse limits.

Findings

Derived nonasymptotic bounds for excess distortion probability

Analyzed the impact of hierarchical source structure on coding performance

Established bounds applicable to finite blocklength regimes

Abstract

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.