A resetting algorithm for transient analysis of coupled transmission line circuits

Author

Lu, Linchao ; Nakhla, Michel S. ; Zhang, Qi-Jun

Author_Institution

Dept. of Electron., Carleton Univ., Ottawa, Ont., Canada

Volume

42

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

494

Lastpage

500

Abstract

The numerical inversion of the Laplace transform has been used as an important tool for time domain analysis of high speed VLSI interconnects modeled by transmission line networks. In this paper, a resetting algorithm based on the numerical inversion of Laplace transform with Pade approximation is described. The initial conditions of coupled transmission lines required by the resetting algorithm are also derived. The new method results in substantial improvement of the accuracy of the numerical inversion of Laplace transform for solving transmission line networks with long transients. The new method also bridges the gap between two types of circuit simulation techniques, i.e., the numerical inversion of Laplace transform and the numerical integration

Keywords

Laplace transforms; VLSI; circuit analysis computing; coupled circuits; distributed parameter networks; linear network analysis; matrix algebra; numerical analysis; packaging; time-domain analysis; transient response; transmission line theory; Laplace transform; Pade approximation; circuit simulation; coupled transmission line circuits; high speed VLSI interconnects; initial conditions; numerical inversion; resetting algorithm; time domain analysis; transient analysis; Approximation algorithms; Coupling circuits; Distributed parameter circuits; Integrated circuit interconnections; Laplace equations; Power system transients; Time domain analysis; Transient analysis; Transmission lines; Very large scale integration;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.277445

Filename

277445