On the Performance of Lossless Joint Source-Channel Coding Based on Linear Codes

TL;DR

This paper proposes a general lossless joint source-channel coding scheme using linear codes with good joint spectrum, demonstrating its potential to approach theoretical limits for various sources and channels.

Contribution

It introduces a novel joint spectrum concept for linear codes and shows how it can be used to design limit-approaching coding schemes for arbitrary sources and channels.

Findings

Linear codes with good joint spectrum enable near-optimal joint source-channel coding.

The scheme generalizes input-output weight distribution to arbitrary sources and channels.

Theoretical analysis confirms the scheme's potential to approach capacity limits.

Abstract

A general lossless joint source-channel coding scheme based on linear codes is proposed and then analyzed in this paper. It is shown that a linear code with good joint spectrum can be used to establish limit-approaching joint source-channel coding schemes for arbitrary sources and channels, where the joint spectrum of the code is a generalization of the input-output weight distribution.