• DocumentCode
    1085243
  • Title

    On properties of floating-point roundoff noise

  • Author

    Fettweis, Alfred

  • Author_Institution
    University of Bochum, F.R. Germany
  • Volume
    22
  • Issue
    2
  • fYear
    1974
  • fDate
    4/1/1974 12:00:00 AM
  • Firstpage
    149
  • Lastpage
    151
  • Abstract
    The probability density and related properties of the relative error due to rounding after floating-point arithmetic operations can be computed from the distributions of the mantissa and its absolute error. Various results obtained, in particular, under different assumptions concerning the distribution of the mantissa are presented on a common basis and in such a way that they are independent of the number of digits in the mantissa, thus facilitating comparisons.
  • Keywords
    Attenuation; Bibliographies; Digital arithmetic; Digital filters; Distributed computing; Floating-point arithmetic; Probability distribution; Roundoff errors; Signal processing; Testing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1974.1162547
  • Filename
    1162547