An Accurate and Efficient Computation of Zeros and Poles of Transfer Function for Large Scale Circuits

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU134067" target="_blank" >RIV/00216305:26220/19:PU134067 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21230/19:00332751

Výsledek na webu

<a href="http://www.iaeng.org/publication/WCECS2019/" target="_blank" >http://www.iaeng.org/publication/WCECS2019/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

An Accurate and Efficient Computation of Zeros and Poles of Transfer Function for Large Scale Circuits

Popis výsledku v původním jazyce

The zeros and poles of a circuit transfer function are computed solving a general eigenvalue problem, which could be transformed to a standard eigenvalue task to be solved by a suitably modified QR algorithm. Both reduction of the general eigenvalue problem to the standard form and the iterative procedures of the QR algorithm are very sensitive to the numerical precision of all calculations. The numerical accuracy is especially critical for two kinds of circuits: the microwave ones characterized by huge differences among magnitudes of the zeros and poles, and the large scale circuits, where the errors of the zeros and poles are increased by an extreme number of arithmetic operations. In the paper, an illustrative example of the reduction of the general eigenvalue problem and using the QR algorithm is shown first. After that, three circuits of various sizes are analyzed: simpler microwave low noise amplifier, larger power operational amplifier, and the most complex example with a 272 integrated operational amplifier. A meticulous comparison of obtained results shows that a usage of newly implemented 128-bit arithmetics in GNU Fortran or C compilers with partial pivoting can assure both efficient and enough accurate procedures for computing the zeros and poles.

Název v anglickém jazyce

An Accurate and Efficient Computation of Zeros and Poles of Transfer Function for Large Scale Circuits

Popis výsledku anglicky

The zeros and poles of a circuit transfer function are computed solving a general eigenvalue problem, which could be transformed to a standard eigenvalue task to be solved by a suitably modified QR algorithm. Both reduction of the general eigenvalue problem to the standard form and the iterative procedures of the QR algorithm are very sensitive to the numerical precision of all calculations. The numerical accuracy is especially critical for two kinds of circuits: the microwave ones characterized by huge differences among magnitudes of the zeros and poles, and the large scale circuits, where the errors of the zeros and poles are increased by an extreme number of arithmetic operations. In the paper, an illustrative example of the reduction of the general eigenvalue problem and using the QR algorithm is shown first. After that, three circuits of various sizes are analyzed: simpler microwave low noise amplifier, larger power operational amplifier, and the most complex example with a 272 integrated operational amplifier. A meticulous comparison of obtained results shows that a usage of newly implemented 128-bit arithmetics in GNU Fortran or C compilers with partial pivoting can assure both efficient and enough accurate procedures for computing the zeros and poles.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the World Congress on Engineering and Computer Science 2019

ISBN

978-988-14048-7-9

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

1-6

Název nakladatele

IEEE

Místo vydání

San Francisco, USA

Místo konání akce

San Francisco, USA

Datum konání akce

22. 10. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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