• DocumentCode
    1369073
  • Title

    Digital computation of the fractional Fourier transform

  • Author

    Ozaktas, Haldun M. ; Arikan, Orhan ; Kutay, M. Alper ; Bozdagt, G.

  • Author_Institution
    Dept. of Electr. Eng., Bilkent Univ., Ankara, Turkey
  • Volume
    44
  • Issue
    9
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    2141
  • Lastpage
    2150
  • Abstract
    An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A definition for the discrete fractional Fourier transform that emerges from our analysis is also discussed
  • Keywords
    Fourier transforms; signal processing; Wigner distribution; algorithm; digital computation; discrete fractional Fourier transform; fractional Fourier transform; signal processing; time-bandwidth product; Differential equations; Discrete Fourier transforms; Discrete transforms; Filtering theory; Fourier transforms; Helium; Optical filters; Optical signal processing; Quantum mechanics; Signal processing algorithms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.536672
  • Filename
    536672