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
fDate :
12/1/1995 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
