Exact moment matching model of transmission lines and applicationto interconnect delay estimation

摘要

Moment matching methods are widely used in delay estimation ofninterconnects modeled as transmission line networks. In this paper, wenanalyze the contribution of a transmission line to the moments of anresistor-transmission line-capacitor (R-T-C) network and provide anmethod to form a lumped moment matching model of the line. When thentransmission lines are replaced by their pth order moment matchingnmodels, the network is transformed into a lumped R-L-C network such thatnthese two networks have identical moments up to the order of p for eachncorresponding output node voltage. We also provide a recursive formulanto compute the moments of the R-L-C network so that the moment matchingntechniques can be efficiently used in the delay estimation