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Error recovery of variable length codes over BSC with arbitrary crossover probability

  • Jiantao Zhou*
  • , Oscar C. Au
  • , Xiaopeng Fan
  • , Peter Hon Wah Wong
  • *Corresponding author for this work
  • Hong Kong University of Science and Technology
  • University of Illinois at Urbana-Champaign

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The error recovery capability of variable length code (VLC) has been considered as an important performance and design criterion in addition to its coding efficiency. However, almost all of the existing methods for evaluating the error recovery capability of VLC assume that the transmission fault is a random single bit inversion. In this paper, we consider a more generalized problem of precisely evaluating the error recovery capability of VLC in the case that the encoded bit stream is transmitted over a BSC with arbitrary crossover probability. By making use of the Perron-Frobenius Theorem, we derive a very simple expression for the exact mean symbol error rate (MSER) in Levenshtein distance sense. We also prove that in the very low crossover probability region, the mean error propagation length (MEPL) derived for single inversion error case approaches a scaled value of MSER. In addition, we briefly discuss the error recovery of VLC over Gilbert-Elliott channel, which is one of the simplest and practical models for a channel with memory.

Original languageEnglish
Title of host publicationProceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Pages1188-1192
Number of pages5
DOIs
StatePublished - 2008
Externally publishedYes
Event2008 IEEE International Symposium on Information Theory, ISIT 2008 - Toronto, ON, Canada
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Conference

Conference2008 IEEE International Symposium on Information Theory, ISIT 2008
Country/TerritoryCanada
CityToronto, ON
Period6/07/0811/07/08

Keywords

  • BSC
  • Error recovery
  • Source coding
  • VLC

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