Black-box modelling by rational function approximation

Author

Gao, Rong ; Mekonnen, Yidnekachew S. ; Beyene, Wendemagegnehu T. ; Schutt-Ainé, Jose E.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana-Champaign, IL, USA

fYear

2004

fDate

9-12 May 2004

Firstpage

99

Lastpage

102

Abstract

In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw´s recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.

Keywords

Chebyshev approximation; integrated circuit modelling; linear systems; transfer functions; Chebyshev coefficients; Chebyshev polynomials; Clenshaw recurrence algorithm; black-box modelling; ill-conditioned Vandermonde-like matrix; linear systems; power series; rational function approximation; Analytical models; Chebyshev approximation; Circuit simulation; Frequency domain analysis; Frequency measurement; Function approximation; Linear systems; Polynomials; Time domain analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Propagation on Interconnects, 2004. Proceedings. 8th IEEE Workshop on

Print_ISBN

0-7803-8470-9

Type

conf

DOI

10.1109/SPI.2004.1409017

Filename

1409017