Lumped interconnect models via Gaussian quadrature

Authors:
Keith Nabors;Tze-Ting Fang;Hung-Wen Chang;Kenneth S. Kundert
Affiliations:
Cadence Design Systems, San Jose, California;Cadence Design Systems, San Jose, California;Cadence Design Systems, San Jose, California;Cadence Design Systems, San Jose, California
Venue:
DAC '97 Proceedings of the 34th annual Design Automation Conference
Year:
1997

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Abstract

This paper presents a new Gaussian quadrature methodfor interconnect modeling which applies to one-dimensionaldistributions of circuit element values, thel ine structuresoften used to model interconnect wires.The method takesa line circuit, which may be an arbitrary combination oflumped and distributed elements, and produces a smalllumped model whose transfer and input characteristic approximatelymay be used to generate lumped models for distributedelements, or to reduce long chains of lumped elements.The method also applies to one-dimensional distributionsof coupling circuit elements, and, in general, toany one-dimensional distribution of circuit element quantities.Several examples demonstrate that the quadrature-basedmethod is capable of automatically generating compactRC, LC and RLC line models with arbitrary accuracy.