Propagation Delay of an RC-Chain With a Ramp Input

In this brief, two simple semi-analytical models which allow the estimation of the propagation delay of an RC-chain with a linear input are presented. The closed-form models can be used to evaluate the propagation delay of wires in modern VLSI and ULSI processes. The two approximations, a continuous function and a piecewise function, exhibit a maximum error lower than 15% at the end of the chain. The models have been validated extensively through circuit simulations. In particular, 1000 different RC-chains have been considered and simulated demonstrating the accuracy of the proposed models with respect to the most widely used Elmore delay metric