Excess Distortion Exponent Analysis for Semantic-Aware MIMO Communication Systems

TL;DR

This paper analyzes the excess distortion exponent in semantic-aware MIMO communication systems, extending classical bounds to include semantic sources and exploring effects of fading and antennas for improved error decay understanding.

Contribution

It introduces bounds for excess distortion exponents in semantic-aware JSCC systems, extending classical results and analyzing MIMO system effects.

Findings

Derived bounds for excess distortion exponent in semantic-aware systems.

Extended achievable bounds for MIMO systems with semantic sources.

Analyzed impact of fading and antennas on error decay performance.

Abstract

In this paper, the analysis of excess distortion exponent for joint source-channel coding (JSCC) in semantic-aware communication systems is presented. By introducing an unobservable semantic source, we extend the classical results by Csiszar to semantic-aware communication systems. Both upper and lower bounds of the exponent for the discrete memoryless source-channel pair are established. Moreover, an extended achievable bound of the excess distortion exponent for MIMO systems is derived. Further analysis explores how the block fading and numbers of antennas influence the exponent of semanticaware MIMO systems. Our results offer some theoretical bounds of error decay performance and can be used to guide future semantic communications with joint source-channel coding scheme.