• DocumentCode
    1443547
  • Title

    Multidimensional fast Fourier transform into SIMD hypercubes

  • Author

    Zapata, E.L. ; Rivera, F.F. ; Benavides, I. ; Carazo, J.M. ; Peskin, R.

  • Author_Institution
    Dept. Electron., Fac. de Fisica, Santiago de Compostela, Spain
  • Volume
    137
  • Issue
    4
  • fYear
    1990
  • fDate
    7/1/1990 12:00:00 AM
  • Firstpage
    253
  • Lastpage
    260
  • Abstract
    The paper presents the in-place implementation of the multidimensional radix 2 fast Fourier transform (FFT), along with the corresponding algorithm for data shuffling (bit-reversal) on SIMD hypercube computers. Each processor possesses its own non-shared memory, the number of processors being less than or equal to the number of data. The flexibility of the proposed algorithm is based on the scheme of information storage that has been chosen and in the decomposition/configuration of the hypercube in subhypercubes that allow the parallel processing of multiple one-dimensional FFTs. This parallel FFT algorithm has an optimum performance, since the data redundancy is and the algorithmic complexity is optimum.
  • Keywords
    computational complexity; fast Fourier transforms; parallel algorithms; SIMD hypercubes; algorithmic complexity; bit-reversal; configuration; data redundancy; data shuffling; decomposition; in-place implementation; information storage; multidimensional FFT; parallel processing;
  • fLanguage
    English
  • Journal_Title
    Computers and Digital Techniques, IEE Proceedings E
  • Publisher
    iet
  • ISSN
    0143-7062
  • Type

    jour

  • Filename
    54328