Signal waveform characterization in RLC trees

Closed form solutions for the 50% delay, rise time, overshoot characteristics, and settling time of signals in an RLC tree are presented. These solutions have the same accuracy characteristics as the Elmore delay for RC trees and preserves the simplicity and recursive characteristics of the Elmore delay. The solutions introduced here cover all damping conditions of an RLC circuit including the underdamped response, which is not considered by the Elmore delay due to the non-monotone nature of the response. Also, the solutions have significantly improved accuracy compared to the Elmore delay for an overdamped response. The solutions introduced here for RLC trees can be practically used for the same application that the Elmore delay is used in RC trees.