Explicit formulas and efficient algorithm for moment computation of coupled RC trees with lumped and distributed elements

In today´s deep submicron technology the coupling capacitances among individual on-chip RC trees have an essential effect on the signal delay and crosstalk, and the interconnects should be modeled as coupled RC trees. We provide simple explicit formulas for the Elmore delay and higher order voltage moments, and a linear order recursive algorithm for the voltage moment computation for lumped and distributed coupled RC trees. By using the formulas and algorithms, the moment matching method can be efficiently implemented to deal with delay and crosstalk estimation, model order reduction and optimal design of interconnects