• DocumentCode
    1140661
  • Title

    Addendum to "The Focus Number System"

  • Author

    Lee, S.C. ; Edgar

  • Author_Institution
    School of Electrical Engineering and Computing Sciences, University of Oklahoma
  • Issue
    9
  • fYear
    1979
  • Firstpage
    693
  • Lastpage
    693
  • Abstract
    In 1971 Kinsbury and Rayner, publishing under the title "Digital Filtering Using Logarithmic Arithmetic" [1] disclosed a sign-plus-logarithm number system, and a means of performing addition through single dimensional lookup using the formula c = b + F(a − b). The system was demonstrated on a computer. In 1975 Swartzlander and Alexopoulos disclosed Kinsbury\´s logarithmic arithmetic as "The Sign/Logarithm Number System" [2]. In 1977, without knowledge of prior art, we reinvented the wheel a third time, dubbing it "Focus," after the focus of resolution around the zero origin [3]. We wish now to acknowledge Kinsbury and Rayner as the pioneer authors, and also Swartzlander and Alexopoulos as prior to our publication.
  • Keywords
    Art; Costs; Digital arithmetic; Digital filters; Electrons; Filtering; Function approximation; Hardware; Publishing; Wheels;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1979.1675442
  • Filename
    1675442