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Fractional-order transfer function - Doing a better choice

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fractional-order transfer function - Doing a better choice

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20201 - Electrical and electronic engineering

Result continuities

  • Project

    <a href="/en/project/GA19-24585S" target="_blank" >GA19-24585S: Synthesis of reliable electrical phantoms describing fractional impedance behavior of real-world systems</a><br>

  • Continuities

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

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    AIP Conference Proceedings

  • ISBN

    9780735444119

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    „020011-1“-„020011-8“

  • Publisher name

    American Institute of Physics Inc.

  • Place of publication

    neuveden

  • Event location

    Izhevsk

  • Event date

    Nov 24, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article