• DocumentCode
    1344033
  • Title

    Fast Hankel transform by fast sine and cosine transforms: the Mellin connection

  • Author

    Knockaert, Luc

  • Author_Institution
    Dept. of Inf. Technol., INTEC-IMEC, Gent, Belgium
  • Volume
    48
  • Issue
    6
  • fYear
    2000
  • fDate
    6/1/2000 12:00:00 AM
  • Firstpage
    1695
  • Lastpage
    1701
  • Abstract
    The Hankel transform of a function by means of a direct Mellin approach requires sampling on an exponential grid, which has the disadvantage of coarsely undersampling the tail of the function. A novel modified Hankel transform procedure that does not require exponential sampling is presented. The algorithm proceeds via a three-step Mellin approach to yield a decomposition of the Hankel transform into a sine, a cosine, and an inversion transform, which can be implemented by means of fast sine and cosine transforms
  • Keywords
    Hankel transforms; inverse problems; decomposition; fast Hankel transform; fast cosine transform; fast sine transform; inversion transform; modified Hankel transform; three-step Mellin approach; Acoustic applications; Convergence; Fourier transforms; Helium; Laplace equations; Optical computing; Sampling methods; Signal processing algorithms; Strips; Tail;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.845927
  • Filename
    845927
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1344033