Extended Subspace Error Localization for Rate-Adaptive Distributed Source Coding

TL;DR

This paper introduces an improved subspace error localization method for rate-adaptive distributed source coding using DFT codes, enhancing performance after puncturing by leveraging additional syndrome information.

Contribution

It develops an extended subspace error localization technique that significantly improves rate-adaptive DSC performance, addressing limitations of existing methods after puncturing.

Findings

Enhanced error localization accuracy after puncturing

Improved rate-adaptive coding performance

Effective use of additional syndrome information

Abstract

A subspace-based approach for rate-adaptive distributed source coding (DSC) based on discrete Fourier transform (DFT) codes is developed. Punctured DFT codes can be used to implement rate-adaptive source coding, however they perform poorly after even moderate puncturing since the performance of the subspace error localization degrades severely. The proposed subspace-based error localization extends and improves the existing one, based on additional syndrome, and is naturally suitable for rate-adaptive distributed source coding architecture.