English

On Syndrome Decoding for Slepian-Wolf Coding Based on Convolutional and Turbo Codes

Information Theory 2010-08-03 v3 math.IT

Abstract

In source coding, either with or without side information at the decoder, the ultimate performance can be achieved by means of random binning. Structured binning into cosets of performing channel codes has been successfully employed in practical applications. In this letter it is formally shown that various convolutional- and turbo-syndrome decoding algorithms proposed in literature lead in fact to the same estimate. An equivalent implementation is also delineated by directly tackling syndrome decoding as a maximum a posteriori probability problem and solving it by means of iterative message-passing. This solution takes advantage of the exact same structures and algorithms used by the conventional channel decoder for the code according to which the syndrome is formed.

Keywords

Cite

@article{arxiv.0912.0797,
  title  = {On Syndrome Decoding for Slepian-Wolf Coding Based on Convolutional and Turbo Codes},
  author = {Lorenzo Cappellari},
  journal= {arXiv preprint arXiv:0912.0797},
  year   = {2010}
}

Comments

3 pages, 1 figure (2 graphic files arranged with subfigure); a note was added; to appear on IEEE Comm. Letters

R2 v1 2026-06-21T14:19:32.083Z