Publication detail

POLE-ZERO ANALYSIS WITH ENHANCED PRECISION

KOLKA, Z. HORÁK, M.

Original Title

POLE-ZERO ANALYSIS WITH ENHANCED PRECISION

English Title

POLE-ZERO ANALYSIS WITH ENHANCED PRECISION

Type

conference paper

Language

en

Original Abstract

The paper deals with a method for accurate computation of multiple poles and zeros in of idealized linear circuits. The method is based on an improved reduction procedure for transforming generalized eigenproblem into the standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices [1]. The reduction procedure uses the SVD method for explicit rank estimation with the aim of avoiding the reporting of spurious roots. Numerical experiments have shown the numerical accuracy to be maintained even for defect matrices with high multiplicity roots.

English abstract

The paper deals with a method for accurate computation of multiple poles and zeros in of idealized linear circuits. The method is based on an improved reduction procedure for transforming generalized eigenproblem into the standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices [1]. The reduction procedure uses the SVD method for explicit rank estimation with the aim of avoiding the reporting of spurious roots. Numerical experiments have shown the numerical accuracy to be maintained even for defect matrices with high multiplicity roots.

Keywords

Pole-zero analysis, Linear circuits, QR, QZ, Numerical methods

RIV year

2009

Released

02.09.2009

Publisher

VUT v Brně

Location

Brno

ISBN

978-80-214-3933-7

Book

In Proc. of Electronic Devices and Systems IMAPS CS International Conference (EDS 2009)

Pages from

319

Pages to

324

Pages count

6

BibTex


@inproceedings{BUT31116,
  author="Zdeněk {Kolka} and Martin {Horák}",
  title="POLE-ZERO ANALYSIS WITH ENHANCED PRECISION",
  annote="The paper deals with a method for accurate computation of multiple poles and zeros in of idealized linear circuits. The method is based on an improved reduction procedure for transforming generalized eigenproblem into the standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices [1]. The reduction procedure uses the SVD method for explicit rank estimation with the aim of avoiding the reporting of spurious roots. Numerical experiments have shown the numerical accuracy to be maintained even for defect matrices with high multiplicity roots.",
  address="VUT v Brně",
  booktitle="In Proc. of Electronic Devices and Systems IMAPS CS International Conference (EDS 2009)",
  chapter="31116",
  howpublished="print",
  institution="VUT v Brně",
  year="2009",
  month="september",
  pages="319--324",
  publisher="VUT v Brně",
  type="conference paper"
}