• DocumentCode
    1437796
  • Title

    Asymptotics of Entropy Rate in Special Families of Hidden Markov Chains

  • Author

    Han, Guangyue ; Marcus, Brian H.

  • Author_Institution
    Dept. of Math., Univ. of Hong Kong, Hong Kong, China
  • Volume
    56
  • Issue
    3
  • fYear
    2010
  • fDate
    3/1/2010 12:00:00 AM
  • Firstpage
    1287
  • Lastpage
    1295
  • Abstract
    We derive an asymptotic formula for entropy rate of a hidden Markov chain under certain parameterizations. We also discuss applications of the asymptotic formula to the asymptotic behaviors of entropy rate of hidden Markov chains as outputs of certain channels, such as binary symmetric channel, binary erasure channel, and some special Gilbert-Elliot channel.
  • Keywords
    entropy; hidden Markov models; telecommunication channels; Gilbert-Elliot channel; asymptotic formula; binary erasure channel; binary symmetric channel; entropy rate; hidden Markov chains; Councils; Entropy; Hidden Markov models; Mathematics; Stochastic processes; Taylor series; Entropy; entropy rate; hidden Markov chain; hidden Markov model; hidden Markov process;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2039094
  • Filename
    5429129
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1437796