Zeros and Passivity of Arnoldi-Reduced-Order Models for Interconnect Networks

CAD tools and research in the area of reduced-order modeling of largelinearinterconnect networkshaveevolved from merely finding a Pad´e approximation for the given network transfer function to finding an approximate transfer function that preserves such circuit-theoretic properties of the network as stability, passivity, and RLC synthesizability. In particular, preserving passivity guarantees that the reduced-order models will be well-behaved when embedded back in the circuit where the interconnect network originated. While stability can be ascertained by studying the poles of the reduced-order transfer function, passivity depends on both the poles and zeros of the network driving-point impedance. In this paper, we present a novel method for studying the zeros of reduced-order transfer functions and show how it yields conclusions about passivity and synthesizability. Moreover, in order to obtain a guaranteed-passive reduced-order model for multiport RC networks, a new algorithmbase...

• Type: Conference
• Year: 1997
• Where: DAC
• Authors: Ibrahim M. Elfadel, David D. Ling
• Keywords: Computer Architecture, DAC 1997, Reduced-order Models, Reduced-order Transfer Functions, Transfer Functions