Fractional-order transfer function - Doing a better choice

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU150899" target="_blank" >RIV/00216305:26220/23:PU150899 - isvavai.cz</a>

Výsledek na webu

<a href="https://pubs.aip.org/aip/acp/article/2605/1/020011/2876024/Fractional-order-transfer-function-Doing-a-better" target="_blank" >https://pubs.aip.org/aip/acp/article/2605/1/020011/2876024/Fractional-order-transfer-function-Doing-a-better</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0111093" target="_blank" >10.1063/5.0111093</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional-order transfer function - Doing a better choice

Popis výsledku v původním jazyce

In this paper we analyze fractional-order transfer function and its possible variant forms, each of (2+α)-order and being suitable for low-pass filter design. Using the Butterworth approximation, we show that all variant forms; three in this case; of such transfer functions basically always result in the required magnitude response, but are characteristic with other behavior from the viewpoint of phase response and mainly the group delay. Hence, we show that the presence of fractional order α in fractional-order filter design does not provide just another degree of freedom regarding fine setting the slope of magnitude response in the stop-band. Dealing with fractional order, the possibility to assume and later select from variant forms of transfer function can be seen as another degree of freedom. We show that depending on selecting the specific form from the set of possible transfer functions we may observe different performance in the other analyzed parameters of the filter. This feature gives us the possibility to select such fractional transfer function that primarily follows the approximation type from the viewpoint of magnitude response but also may provide better performance regarding other frequency filter parameter.

Název v anglickém jazyce

Fractional-order transfer function - Doing a better choice

Popis výsledku anglicky

In this paper we analyze fractional-order transfer function and its possible variant forms, each of (2+α)-order and being suitable for low-pass filter design. Using the Butterworth approximation, we show that all variant forms; three in this case; of such transfer functions basically always result in the required magnitude response, but are characteristic with other behavior from the viewpoint of phase response and mainly the group delay. Hence, we show that the presence of fractional order α in fractional-order filter design does not provide just another degree of freedom regarding fine setting the slope of magnitude response in the stop-band. Dealing with fractional order, the possibility to assume and later select from variant forms of transfer function can be seen as another degree of freedom. We show that depending on selecting the specific form from the set of possible transfer functions we may observe different performance in the other analyzed parameters of the filter. This feature gives us the possibility to select such fractional transfer function that primarily follows the approximation type from the viewpoint of magnitude response but also may provide better performance regarding other frequency filter parameter.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA19-24585S" target="_blank" >GA19-24585S: Syntéza elektrických fantomů věrně popisující fraktální impedanční chování reálných systémů</a><br>

Návaznosti

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

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

AIP Conference Proceedings

ISBN

9780735444119

ISSN

—

e-ISSN

—

Počet stran výsledku

7

Strana od-do

„020011-1“-„020011-8“

Název nakladatele

American Institute of Physics Inc.

Místo vydání

neuveden

Místo konání akce

Izhevsk

Datum konání akce

24. 11. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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