Calculation of delay and rise times for uniformly distributed RLC line

Abstract

In this theoretical paper, simple explicit delay and rise time expressions for uniformly distributed RLC line are presented. Derivation of these expressions are based on Elmore's definitions. Transfer function for an n-cell RLC ladder network with capacitive load is obtained by using transmission parameter matrix for each cell. In calculation of transfer function, transmission line is modeled by a lumped parameter network. Explicit delay and rise time formulas are computed from transfer function using Elmore's definitions. Examples are included to exhibit the use of the formulations given for delay and rise times. As a special case, proposed expressions are verified with SPICE 5 circuit analysis program for n = 2, 3, 5 -cell ladder networks loaded with capacitor.