Closed-form solutions for the 50% delay, rise time, overshoots, and settlin
g time of signals in an RLC tree are presented, These solutions have the sa
me accuracy characteristics of the Elmore delay for RC trees and preserves
the simplicity and recursive characteristics of the Elmore delay. Specifica
lly, the complexity of calculating the time domain responses at all the nod
es of an RLC tree is linearly proportional to the number of branches in the
tree and the solutions are always stable. The closed-form expressions intr
oduced here consider all damping conditions of an RLC circuit including the
underdamped response, which is not considered by the Elmore delay due to t
he nonmonotone nature of the response. The continuous analytical nature of
the solutions makes these expressions suitable for design methodologies and
optimization techniques. Also, the solutions have significantly improved a
ccuracy as compared to the Elmore delay for an overdamped response, The sol
utions introduced here for RLC trees can be practically used for the same p
urposes that the Elmore delay is used for RC trees.