Parametric approximation of electrical circuit responses

Katarzyna Opalska , Leszek J. Opalski


The paper presents results of numerical investigations of two algorithms for parametric approximation of such responses of electric circuits which can be accurately approximated by rational functions of frequency, time etc. for fixed values of parameters. A piecewise multilinear algorithm and a two-stage algorithm with frequency and magnitude scaling of root rational models are compared. Both techniqus use Vector Fitting algorithm for preliminary rational approximations of the responses for parameter values from a fixed grid. Numerical investigation uses three circuits which differ in dependence of rational model order on parameter values (fixed or variable) and also on parameterization of circuit elements (linear or non-linear). Dependence of RMS approximation error on grid density is found to be approximately quadratic w.r.t. each variable, admitting pretty large size of grid cells. It is shown, that the two-stage parametric approximation is not only (typically much) more accurate, but does not show spurious oscillations of the predicted responses. The price for the accuracy is the exponential complexity of the more accurate of the two algorithms.
Author Katarzyna Opalska (FEIT / PE)
Katarzyna Opalska,,
- The Institute of Electronic Systems
, Leszek J. Opalski (FEIT / PE)
Leszek J. Opalski,,
- The Institute of Electronic Systems
Pages108082S-1 - 108082S-11
Publication size in sheets0.55
Book Romaniuk Ryszard, Linczuk Maciej Grzegorz (eds.): Proceedings of SPIE: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, Proceedings of SPIE: The International Society for Optical Engineering, vol. 10808, 2018, SPIE - the International Society for Optics and Photonics, ISBN 9781510622036, 2086 p., DOI:10.1117/12.2504983
Keywords in Polishparametric approximation, rational functions, vector fitting, frequency response, simulation, parametric modeling, optimization
projectResearch on measurement, circuit and signal theory and electronic circuits and systems. Project leader: Starecki Tomasz, , Phone: +48 22 234 7744; +48 22 234 3657, start date 05-06-2017, end date 31-10-2018, ISE/2017/DS, Completed
WEiTI Działalność statutowa
Languageen angielski
parametric.pdf 1,009.98 KB
Score (nominal)15
ScoreMinisterial score = 15.0, 16-04-2019, BookChapterSeriesAndMatConf
Ministerial score (2013-2016) = 15.0, 16-04-2019, BookChapterSeriesAndMatConf
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