• DocumentCode
    1084946
  • Title

    A note on exact discrete Fourier transforms

  • Author

    Rader, C.M.

  • Author_Institution
    MIT, Lincoln Laboratory, Lexington, MA, USA
  • Volume
    21
  • Issue
    6
  • fYear
    1973
  • fDate
    12/1/1973 12:00:00 AM
  • Firstpage
    558
  • Lastpage
    559
  • Abstract
    It is proved that the z transform of a sequence of data values cannot be exactly computed using a binary number representation for values of z on the unit circle, except z =±1, z = ±j. It is also proved that the discrete Fourier transform (DFT) of a sequence of data values cannot be evaluated with rational numbers.
  • Keywords
    Arithmetic; Discrete Fourier transforms; Discrete transforms;
  • fLanguage
    English
  • Journal_Title
    Audio and Electroacoustics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9278
  • Type

    jour

  • DOI
    10.1109/TAU.1973.1162518
  • Filename
    1162518
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1084946