Qj. Yu et Es. Kuh, EXACT MOMENT MATCHING MODEL OF TRANSMISSION-LINES AND APPLICATION TO INTERCONNECT DELAY ESTIMATION, IEEE transactions on very large scale integration (VLSI) systems, 3(2), 1995, pp. 311-322
Moment matching methods are widely used in delay estimation of interco
nnects modeled as transmission line networks. In this paper, we analyz
e the contribution of a transmission line to the moments of a resistor
transmission line-capacitor (R-T-C) network and provide a method to f
orm a lumped moment matching model of the line, When the transmission
lines are replaced by their pth order moment matching models, the netw
ork is transformed into a lumped R-L-C network such that these two net
works have identical moments up to the order of p for each correspondi
ng output node voltage. We also provide a recursive,formula to compute
the moments of the R-L-C network so that the moment matching techniqu
es can be efficiently used in the delay estimation.