• DocumentCode
    1068074
  • Title

    Division using a logarithmic-exponential transform to form a short reciprocal

  • Author

    Mandelbaum, David M.

  • Author_Institution
    168 Hollingston Pl., East Windsor, NJ, USA
  • Volume
    44
  • Issue
    11
  • fYear
    1995
  • fDate
    11/1/1995 12:00:00 AM
  • Firstpage
    1326
  • Lastpage
    1330
  • Abstract
    Two trees are used sequentially to calculate an approximation to 1/A, where 1⩽A<2. These trees calculate the logarithm and exponential, and the division (reciprocation) process can be described by 1/A=e-lnA/. For bit skip accuracy of six to 10, this logarithmic-exponential method uses significantly less hardware with respect to the scheme in Mandelbaum (1993), and the delays may be greater or less, depending on the method used and the minimum bit skip
  • Keywords
    computational complexity; digital arithmetic; bit skip accuracy; division; exponential; logarithm; logarithmic-exponential transform; short reciprocal; trees; Active contours; Analytical models; Circuits; Delay effects; Discrete transforms; Equations; Hardware; Image analysis; Iterative algorithms;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.475129
  • Filename
    475129