• DocumentCode
    1755361
  • Title

    Extremes of Error Exponents

  • Author

    Guillen i Fabregas, Albert ; Land, Ingmar ; Martinez, A.

  • Author_Institution
    Dept. of Inf. & Commun. Technol., Univ. Pompeu Fabra, Barcelona, Spain
  • Volume
    59
  • Issue
    4
  • fYear
    2013
  • fDate
    41365
  • Firstpage
    2201
  • Lastpage
    2207
  • Abstract
    This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity C and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager´s E0 function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.
  • Keywords
    channel capacity; channel coding; error statistics; random codes; Bhattacharyya parameter; Gallager function; binary erasure channel; binary symmetric channel; binary-input memoryless symmetric channels; channel dispersion; error probability; random coding; standard error exponents; Capacity planning; Channel capacity; Channel coding; Decoding; Dispersion; Error probability; Bhattacharyya parameter; channel capacity; channel dispersion; cutoff rate; discrete memoryless channels; error exponents; error probability; random coding; symmetric channels;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2233271
  • Filename
    6377299