• DocumentCode
    418491
  • Title

    Geometric-mean interpolation for logarithmic number systems

  • Author

    Arnold, Mark G.

  • Author_Institution
    Lehigh Univ., Bethlehem, PA, USA
  • Volume
    2
  • fYear
    2004
  • fDate
    23-26 May 2004
  • Abstract
    A new hardware implementation of linear-Lagrange interpolation is proposed where the interpolation line is approximated as the geometric mean of the slopes at the endpoints of the interpolation interval. The geometric mean is easy to compute using the Logarithmic Number System (LNS). This paper suggests a novel method that replaces interpolation multiplication with addition of logarithms.
  • Keywords
    approximation theory; digital arithmetic; interpolation; number theory; digital arithmetic; geometric mean interpolation; hardware implementation; interpolation multiplication; linear Lagrange interpolation; logarithmic number systems; Hardware; Interpolation; Lagrangian functions; Read only memory; Table lookup;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
  • Print_ISBN
    0-7803-8251-X
  • Type

    conf

  • DOI
    10.1109/ISCAS.2004.1329301
  • Filename
    1329301