• DocumentCode
    1456404
  • Title

    Concavity of the Mutual Information Rate for Input-Restricted Memoryless Channels at High SNR

  • Author

    Han, Guangyue ; Marcus, Brian H.

  • Author_Institution
    Dept. of Math., Univ. of Hong Kong, Hong Kong, China
  • Volume
    58
  • Issue
    3
  • fYear
    2012
  • fDate
    3/1/2012 12:00:00 AM
  • Firstpage
    1534
  • Lastpage
    1548
  • Abstract
    We consider a memoryless channel with an input Markov process supported on a mixing finite-type constraint. We continue the development of asymptotics for the entropy rate of the output hidden Markov chain and deduce that, at high signal-to-noise ratio, the mutual information rate of such a channel is concave with respect to “almost” all input Markov chains of a given order.
  • Keywords
    entropy; hidden Markov models; signal processing; telecommunication channels; SNR; entropy; finite-type constraint; input-restricted memoryless channels; mutual information rate; signal-to-noise ratio; Entropy; Hidden Markov models; Joints; Markov processes; Mutual information; Signal to noise ratio; Vectors; Concavity; entropy rate; hidden Markov chain; mutual information rate;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2173730
  • Filename
    6157074