On the overflow probability of lossless codes with side information

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Lossless fixed-to-variable(FV) length codes are considered. The overflow probability is one of criteria that evaluate the performance of FV code. In the single source coding problem, there were many researches on the overflow probability. Recently, the source coding problem for correlated sources, such as Slepian-Wolf coding problem or source coding problem with side information, is one of main topics in information theory. In this paper, we consider the source coding problem with side information. Especially, we consider the FV code in the case that the encoder and the decoder can see side information. In this case, several codes were proposed and their mean code lengths were analyzed. However, there was no research about the overflow probability. We shall show two lemmas about the overflow probability. Then we obtain the condition that there exists a FV code under the condition that the overflow probability is smaller than or equal to some constant.

Original languageEnglish
Title of host publication2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
Pages131-135
Number of pages5
DOIs
Publication statusPublished - 2010 Aug 23
Event2010 IEEE International Symposium on Information Theory, ISIT 2010 - Austin, TX, United States
Duration: 2010 Jun 132010 Jun 18

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8103

Conference

Conference2010 IEEE International Symposium on Information Theory, ISIT 2010
CountryUnited States
CityAustin, TX
Period10/6/1310/6/18

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

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  • Cite this

    Nomura, R., & Matsushima, T. (2010). On the overflow probability of lossless codes with side information. In 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings (pp. 131-135). [5513268] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2010.5513268