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Step Response of Commensurate Fractional Lowpass Pseudo-Biquad: Critical Damping

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU150030" target="_blank" >RIV/00216305:26220/23:PU150030 - isvavai.cz</a>

  • Alternative codes found

    RIV/60162694:G43__/24:00560548

  • Result on the web

    <a href="https://dx.doi.org/10.1109/ITC-CSCC58803.2023.10212692" target="_blank" >https://dx.doi.org/10.1109/ITC-CSCC58803.2023.10212692</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/ITC-CSCC58803.2023.10212692" target="_blank" >10.1109/ITC-CSCC58803.2023.10212692</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Step Response of Commensurate Fractional Lowpass Pseudo-Biquad: Critical Damping

  • Original language description

    In the paper, a comparison is made between the step responses of the classical integer-order biquad with the transfer function ((s/ω0)^2+(s/ω0)/Q+1)^(-1), where ω0 and Q are the characteristic frequency and quality factor, and the commensurate fractional pseudo-biquad with the transfer function ((s/ω0)^(2α)+(s/ω0)^α/Q+1)^(-1), 0< α ≤1. While the classical biquad experiences the fastest response for critical damping when Q = 0.5, a similar response can be observed for the fractional circuit, but for larger values of Q depending on the α parameter. For α < 1, the response then settles faster than for the classical filter. Coupling conditions between the parameters α and Q are found that lead to the so-called pseudo-critical damping and critical underdamping.

  • 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/GA20-26849S" target="_blank" >GA20-26849S: New algorithms for accurate, efficient and robust analysis of large-scale 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

    2023 International Technical Conference on Circuits/Systems, Computers, and Communications, ITC-CSCC 2023

  • ISBN

    979-8-3503-2641-3

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    1-6

  • Publisher name

    Institute of Electrical and Electronics Engineers Inc.

  • Place of publication

    neuveden

  • Event location

    Jeju

  • Event date

    Jun 25, 2023

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article