An exact analytic technique for simulating uniform RC lines

Abstract

A new technique, based on convolution, has been developed for the time domain simulation of uniform RC lines. This technique is exact, requiring no simplification of the line's internal mechanism. It is shown that though the impulse responses of uniform RC lines are ill-behaved and unsuitable for direct numerical implementation, the use of a convolutional formula obtained by generalizing the trapezoidal integration method leads to well-behaved analytic forms that can be directly implemented. The new technique makes no approximation to the uniform distribution of resistance and capacitance. Experimental results using industrial IC interconnect demonstrate the efficacy of the new technique.<>