@inproceedings{f6cb617cec834495aae280e0e37b7e5b,
title = "The dispersion of Slepian-Wolf coding",
abstract = "We characterize second-order coding rates (or dispersions) for distributed lossless source coding (the Slepian-Wolf problem). We introduce a fundamental quantity known as the entropy dispersion matrix, which is analogous to scalar dispersion quantities. We show that if this matrix is positive-definite, the optimal rate region under the constraint of a fixed blocklength and non-zero error probability has a curved boundary compared to being polyhedral for the Slepian-Wolf case. In addition, the entropy dispersion matrix governs the rate of convergence of the non-asymptotic region to the asymptotic one. As a by-product of our analyses, we develop a general universal achievability procedure for dispersion analysis of some other network information theory problems such as the multiple-access channel. Numerical examples show how the region given by Gaussian approximations compares to the Slepian-Wolf region.",
keywords = "Dispersion, Second-order Rates, Slepian-Wolf",
author = "Tan, {Vincent Y.F.} and Oliver Kosut",
year = "2012",
doi = "10.1109/ISIT.2012.6284695",
language = "English (US)",
isbn = "9781467325790",
series = "IEEE International Symposium on Information Theory - Proceedings",
pages = "915--919",
booktitle = "2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012",
note = "2012 IEEE International Symposium on Information Theory, ISIT 2012 ; Conference date: 01-07-2012 Through 06-07-2012",
}