• DocumentCode
    2362466
  • Title

    A bilinear quadrature rule for the finite hankel transform

  • Author

    Knockaert, L.

  • Author_Institution
    Ghent Univ., Ghent
  • fYear
    2007
  • fDate
    26-28 Sept. 2007
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    The finite Hankel transform of order zero is evaluated by means of a bilinear quadrature formula. By imposing conditions on the bilinear weight matrix, it is guaranteed that the finite Hankel transform is correct for the class of Fourier- Bessel functions and given interpolation points in the range of the Hankel transform. The algorithm only requires the solution of two linear equations.
  • Keywords
    Bessel functions; Hankel transforms; interpolation; matrix algebra; Fourier- Bessel function; bilinear quadrature rule; bilinear weight matrix; finite Hankel transform; interpolation point; linear equation; Acoustic applications; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Gaussian approximation; Information technology; Integral equations; Interpolation; Optical computing; Optimized production technology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    AFRICON 2007
  • Conference_Location
    Windhoek
  • Print_ISBN
    978-1-4244-0987-7
  • Electronic_ISBN
    978-1-4244-0987-7
  • Type

    conf

  • DOI
    10.1109/AFRCON.2007.4401442
  • Filename
    4401442