• DocumentCode
    1079860
  • Title

    A fixed-point fast Fourier transform error analysis

  • Author

    Welch, Peter D.

  • Author_Institution
    IBM Watson Research Center, Yorktown Heights, N.Y.
  • Volume
    17
  • Issue
    2
  • fYear
    1969
  • fDate
    6/1/1969 12:00:00 AM
  • Firstpage
    151
  • Lastpage
    157
  • Abstract
    This paper contains an analysis of the fixed-point accuracy of the power of two, fast Fourier transform algorithm. This analysis leads to approximate upper and lower bounds on the root-mean-square error. Also included are the results of some accuracy experiments on a simulated fixed-point machine and their comparison with the error upper bound.
  • Keywords
    Algorithm design and analysis; Equations; Error analysis; Fast Fourier transforms; Fourier transforms; Region 1;
  • fLanguage
    English
  • Journal_Title
    Audio and Electroacoustics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9278
  • Type

    jour

  • DOI
    10.1109/TAU.1969.1162035
  • Filename
    1162035