• DocumentCode
    1113102
  • Title

    Fast Hardware Fourier Transformation Through Counting

  • Author

    Zohar, Shalhav

  • Author_Institution
    Jet Propulsion Laboratory, California Institute of Technology
  • Issue
    5
  • fYear
    1973
  • fDate
    5/1/1973 12:00:00 AM
  • Firstpage
    433
  • Lastpage
    441
  • Abstract
    Hardware Fourier transformations are considered with the goal of increasing speed through parallel operation. Two designs in which the basic element is a fast counter are developed. One is applicable when the number of transformed points N is prime while the other, requiring somewhat more hardware, is applicable to all N.
  • Keywords
    Fast Fourier transformation for batches of arbitrary size, hardware Fourier transformation, high-precision Fourier transformation, relation of Fourier transformation to Hankel matrices, sign flipping in radix (−2), speedup through parallel computation.; Algorithm design and analysis; Concurrent computing; Costs; Counting circuits; Discrete Fourier transforms; Fast Fourier transforms; Hardware; Libraries; Propulsion; Space technology; Fast Fourier transformation for batches of arbitrary size, hardware Fourier transformation, high-precision Fourier transformation, relation of Fourier transformation to Hankel matrices, sign flipping in radix (−2), speedup through parallel computation.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1973.223745
  • Filename
    1672338