• DocumentCode
    1780252
  • Title

    The third-order term in the normal approximation for the AWGN channel

  • Author

    Tan, Vincent Y. F. ; Tomamichel, Marco

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    2077
  • Lastpage
    2081
  • Abstract
    This paper shows that, under the average error probability formalism, the third-order term in the normal approximation for the additive white Gaussian noise channel with a maximal or equal power constraint is at least 1 over 2 log n+O(1). This improves on the lower bound by Polyanskiy-Poor-Verdú (2010) and matches the upper bound proved by the same authors.
  • Keywords
    AWGN channels; approximation theory; probability; AWGN channel; Polyanskiy-Poor-Verdu; additive white Gaussian noise channel; error probability formalism; normal approximation; third-order term; AWGN channels; Approximation methods; Channel coding; Monte Carlo methods; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875199
  • Filename
    6875199