Publication detail

Approximate Symbolic Analysis with Emphasis on Frequency Filters

KOLKA, Z. BIOLKOVÁ, V. BIOLEK, D.

Original Title

Approximate Symbolic Analysis with Emphasis on Frequency Filters

English Title

Approximate Symbolic Analysis with Emphasis on Frequency Filters

Type

conference paper

Language

en

Original Abstract

The paper deals with two error control strategies for approximate symbolic analysis in the frequency domain: the response-based approach and the eigenvalue-based approach. The response-based mechanism, which evaluates errors caused by simplification by means of comparing magnitude and phase responses with a reference solution on a set of fixed frequencies, is suitable for broadband circuits with a flat response. In case of frequency-selective circuits (i.e. filters) the simple method may not provide expected results. The eigenvalue-based method uses shifts of poles and zeros in the complex plane to evaluate the effect of circuit model simplifications. The position of poles and zeros in the complex plane provides better characterization of the frequency response of a frequency filter. An effective implementation of both methods is presented in the paper.

English abstract

The paper deals with two error control strategies for approximate symbolic analysis in the frequency domain: the response-based approach and the eigenvalue-based approach. The response-based mechanism, which evaluates errors caused by simplification by means of comparing magnitude and phase responses with a reference solution on a set of fixed frequencies, is suitable for broadband circuits with a flat response. In case of frequency-selective circuits (i.e. filters) the simple method may not provide expected results. The eigenvalue-based method uses shifts of poles and zeros in the complex plane to evaluate the effect of circuit model simplifications. The position of poles and zeros in the complex plane provides better characterization of the frequency response of a frequency filter. An effective implementation of both methods is presented in the paper.

Keywords

Symbolic analysis, simplification, error prediction, eigenvalues, linear circuits.

RIV year

2012

Released

18.04.2012

Publisher

WSEAS

Location

Rovaniemi, Finland

ISBN

978-1-61804-085-5

Book

Proceedings of 11th International Conference on INSTRUMENTATION, MEASUREMENT, CIRCUITS and SYSTEMS (IMCAS'12)

Pages from

106

Pages to

109

Pages count

4

BibTex


@inproceedings{BUT94902,
  author="Zdeněk {Kolka} and Viera {Biolková} and Dalibor {Biolek}",
  title="Approximate Symbolic Analysis with Emphasis on Frequency Filters",
  annote="The paper deals with two error control strategies for approximate symbolic analysis in the frequency domain: the response-based approach and the eigenvalue-based approach. The response-based mechanism, which evaluates errors caused by simplification by means of comparing magnitude and phase responses with a reference solution on a set of fixed frequencies, is suitable for broadband circuits with a flat response. In case of frequency-selective circuits (i.e. filters) the simple method may not provide expected results. The eigenvalue-based method uses shifts of poles and zeros in the complex plane to evaluate the effect of circuit model simplifications. The position of poles and zeros in the complex plane provides better characterization of the frequency response of a frequency filter. An effective implementation of both methods is presented in the paper.",
  address="WSEAS",
  booktitle="Proceedings of 11th International Conference on INSTRUMENTATION, MEASUREMENT, CIRCUITS and SYSTEMS (IMCAS'12)",
  chapter="94902",
  howpublished="electronic, physical medium",
  institution="WSEAS",
  year="2012",
  month="april",
  pages="106--109",
  publisher="WSEAS",
  type="conference paper"
}