Title :
Exact moment matching model of transmission lines and application to interconnect delay estimation
Author :
Yu, Qingjian ; Kuh, Ernest S.
Author_Institution :
Dept. of Autom. Control, Nanjing Univ. of Sci. & Technol., China
fDate :
6/1/1995 12:00:00 AM
Abstract :
Moment matching methods are widely used in delay estimation of interconnects modeled as transmission line networks. In this paper, we analyze the contribution of a transmission line to the moments of a resistor-transmission line-capacitor (R-T-C) network and provide a method to form a lumped moment matching model of the line. When the transmission lines are replaced by their pth order moment matching models, the network is transformed into a lumped R-L-C network such that these two networks have identical moments up to the order of p for each corresponding output node voltage. We also provide a recursive formula to compute the moments of the R-L-C network so that the moment matching techniques can be efficiently used in the delay estimation.<>
Keywords :
VLSI; delays; equivalent circuits; integrated circuit interconnections; method of moments; transmission line theory; interconnect delay estimation; lumped RLC network; lumped model; moment matching model; recursive formula; resistor-transmission line-capacitor network; transmission lines; Computer networks; Delay estimation; Distributed parameter circuits; Integrated circuit interconnections; Propagation losses; Resistors; Transmission lines; Very large scale integration; Voltage; Wires;
Journal_Title :
Very Large Scale Integration (VLSI) Systems, IEEE Transactions on
