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Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F18%3APU130151" target="_blank" >RIV/00216305:26220/18:PU130151 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.mdpi.com/2076-3417/8/12/2603" target="_blank" >https://www.mdpi.com/2076-3417/8/12/2603</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/app8122603" target="_blank" >10.3390/app8122603</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

  • Original language description

    In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of (1 + α) order lowpass magnitude responses are given as examples with fractional steps from α = 0.1 to α = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the (1 + α) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for (1 + α) = 1.2 and 1.8 order filters.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20201 - Electrical and electronic engineering

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applied Sciences - Basel

  • ISSN

    2076-3417

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    17

  • Pages from-to

    1-17

  • UT code for WoS article

    000455145000271

  • EID of the result in the Scopus database

    2-s2.0-85058299568