Accurate time-domain semisymbolic analysis

Author

Kolka, Zdenek ; Biolek, Dalibor ; Biolkova, Viera

Author_Institution

Fac. of Electr. Eng. & Commun., Brno Univ. of Technol., Brno, Czech Republic

fYear

2010

Firstpage

1

Lastpage

4

Abstract

The paper deals with a method for accurate semisymbolic time-domain analysis of highly idealized linear lumped circuits. Pulse and step responses can be computed by means of the partial fraction decomposition. The procedure relies on an accurate computation of poles of the transfer function. The well known problem of the QR and QZ algorithms is their poor accuracy in the case of multiple roots. Moreover, the partial fraction decomposition itself is an ill-posed problem for closely-spaced clusters of roots. The method presented in this paper is based on an improved reduction procedure for transforming the generalized eigenproblem into a standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices.

Keywords

decomposition; lumped parameter networks; matrix algebra; poles and zeros; time-domain analysis; Jordan canonical form; closely spaced clusters; generalized eigenproblem; inexact matrices; linear lumped circuits; partial fraction decomposition; poles; pulse response; semisymbolic analysis; step response; time domain analysis; transfer function; Accuracy; Algorithm design and analysis; Clustering algorithms; Eigenvalues and eigenfunctions; Laplace equations; Time domain analysis; Transfer functions; eigenvalues; inverse Laplace transform; linear circuits; pulse and step responses;

fLanguage

English

Publisher

ieee

Conference_Titel

Symbolic and Numerical Methods, Modeling and Applications to Circuit Design (SM2ACD), 2010 XIth International Workshop on

Conference_Location

Gammath

Print_ISBN

978-1-4244-6816-4

Type

conf

DOI

10.1109/SM2ACD.2010.5672333

Filename

5672333