• DocumentCode
    922771
  • Title

    Some integrals involving the Q_M function (Corresp.)

  • Author

    Nuttall, Albert H.

  • Volume
    21
  • Issue
    1
  • fYear
    1975
  • fDate
    1/1/1975 12:00:00 AM
  • Firstpage
    95
  • Lastpage
    96
  • Abstract
    Some integrals are presented that can be expressed in terms of the Q_M function, which is defined as begin{equation} Q_M(a,b) = int_b^{infty} dx x(x/a)^{M-1} exp (- frac{x^2 + a^2}{2}) I_{M-1}(ax), end{equation} where I_{M-1} is the modified Bessel function of order M-1 . Some integrals of the Q_M function are also evaluated.
  • Keywords
    Signal detection; Cost function; Fading; Gaussian noise; Integral equations; Random variables; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1975.1055327
  • Filename
    1055327