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Polynomials and computing functions of correlated sources
KTH, School of Electrical Engineering (EES), Communication Theory.
KTH, School of Electrical Engineering (EES), Communication Theory.ORCID iD: 0000-0002-7926-5081
2012 (English)In: Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on, IEEE , 2012, 771-775 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider the source coding problem of computing functions of correlated sources, which is an extension of the Slepian - Wolf coding problem. We observe that all the discrete functions are in fact restrictions of polynomial functions over some finite field. Based on this observation, we demonstrate how to use Elias' Lemma to enlarge the coding rate region (compared to the Slepian - Wolf region) for a certain class of polynomial functions. We present a classification result about polynomial functions regarding this coding problem. The result is conclusive in the two-sources scenario and, in fact, gives another interpretation of a result by Han and Kobayashi [1, Theorem 1].

Place, publisher, year, edition, pages
IEEE , 2012. 771-775 p.
Series
IEEE International Symposium on Information Theory - Proceedings
Keyword [en]
Classification results, Coding problems, Coding rate, Computing functions, Correlated sources, Discrete functions, Finite fields, Polynomial functions, Source-coding, Two sources
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-104968DOI: 10.1109/ISIT.2012.6284664ISI: 000312544300157Scopus ID: 2-s2.0-84867503018ISBN: 978-146732579-0 (print)OAI: oai:DiVA.org:kth-104968DiVA: diva2:567986
Conference
2012 IEEE International Symposium on Information Theory, ISIT 2012, 1 July 2012 through 6 July 2012, Cambridge, MA
Funder
ICT - The Next Generation
Note

QC 20121115

Available from: 2012-11-15 Created: 2012-11-14 Last updated: 2013-04-15Bibliographically approved

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Skoglund, Mikael

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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