• DocumentCode
    1228209
  • Title

    Shaping a distributed-RC line to minimize Elmore delay

  • Author

    Fishburn, John P. ; Schevon, Catherine A.

  • Author_Institution
    AT&T Bell Labs., Murray Hill, NJ, USA
  • Volume
    42
  • Issue
    12
  • fYear
    1995
  • fDate
    12/1/1995 12:00:00 AM
  • Firstpage
    1020
  • Lastpage
    1022
  • Abstract
    Euler´s differential equation of the calculus of variations is used to determine the shape of a distributed-RC wire that minimizes Elmore delay. In two dimensions the optimal shape is an exponential taper. In three dimensions the optimal shape is a frustum of a cone
  • Keywords
    RC circuits; circuit optimisation; delays; distributed parameter networks; minimisation; Elmore delay minimization; Euler differential equation; calculus of variations; cone frustum; distributed-RC line shaping; exponential taper; three dimensional wire; two dimensional wire; Calculus; Capacitance; Delay estimation; Differential equations; Integrated circuit interconnections; Resistors; Shape; Threshold voltage; Very large scale integration; Wire;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.481198
  • Filename
    481198