"Real" Slepian-Wolf Codes
Information Theory
2008-10-09 v1 math.IT
Abstract
We provide a novel achievability proof of the Slepian-Wolf theorem for i.i.d. sources over finite alphabets. We demonstrate that random codes that are linear over the real field achieve the classical Slepian-Wolf rate-region. For finite alphabets we show that typicality decoding is equivalent to solving an integer program. Minimum entropy decoding is also shown to achieve exponentially small probability of error. The techniques used may be of independent interest for code design for a wide class of information theory problems, and for the field of compressed sensing.
Keywords
Cite
@article{arxiv.0810.1424,
title = {"Real" Slepian-Wolf Codes},
author = {Bikash Kumar Dey and Sidharth Jaggi and Michael Langberg},
journal= {arXiv preprint arXiv:0810.1424},
year = {2008}
}
Comments
20 pages. Preliminary version presented at ISIT 2008, Toronto, Canada