Error bound for reduced system model by Pade approximation via the Lanczos process

Author

Bai, Zhaojun ; Slone, Rodney D. ; Smith, William T. ; Ye, Qiang

Author_Institution

Dept. of Math., Kentucky Univ., Lexington, KY, USA

Volume

18

Issue

2

fYear

1999

fDate

2/1/1999 12:00:00 AM

Firstpage

133

Lastpage

141

Abstract

Recently, there has been a great deal of interest in using the Pade Via Lanczos (PVL) technique to analyze the transfer functions and impulse responses of large-scale linear circuits. In this paper, a matrix-based derivation of the error between the original circuit transfer function and the reduced-order transfer function generated using the PVL technique is presented. This error measure may be used for the development of an automated termination of the Lanczos process in the PVL technique and achieve the desired accuracy of the approximate transfer function. PVL coupled with such an error bound will be referred to as the PVL-WEB algorithm

Keywords

approximation theory; error analysis; linear network analysis; reduced order systems; transfer functions; transient response; Lanczos process; PVL-WEB algorithm; Pade Via Lanczos technique; Pade approximation; asymptotic waveform evaluation; error bound; impulse response; linear circuit; matrix; reduced order system model; transfer function; Coupling circuits; Electromagnetic coupling; Equations; Frequency; Helium; Large-scale systems; Linear circuits; Mathematics; Multichip modules; Transfer functions;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.743719

Filename

743719