• DocumentCode
    1085050
  • Title

    Linear approximations to √x2+y2having equiripple error characteristics

  • Author

    Filip, A.

  • Author_Institution
    Massachusetts Institute of Technology, Lexington, Mass.
  • Volume
    21
  • Issue
    6
  • fYear
    1973
  • fDate
    12/1/1973 12:00:00 AM
  • Firstpage
    554
  • Lastpage
    556
  • Abstract
    An equiripple error constraint was used to design linear approximations to \\sqrt {x^{2} + y^{2}} . Several examples are presented including one having a peak error of less than one percent, which is significantly less than the error obtained by using other design criteria. The mean and standard deviation of the relative error are also tabulated as are earlier results obtained by other authors.
  • Keywords
    Computer errors; Hardware; Linear approximation; Minimax techniques; Region 1; Signal analysis;
  • fLanguage
    English
  • Journal_Title
    Audio and Electroacoustics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9278
  • Type

    jour

  • DOI
    10.1109/TAU.1973.1162528
  • Filename
    1162528