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KUBÁNEK, D. KOTON, J. JEŘÁBEK, J. ANDRIUKAITIS, D.
Originální název
(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The formula of the all-pole low-pass frequency filter transfer function of the fractional order (N +α) designated for implementation by non-cascade multiple-feedback analogue structures is presented. The aim is to determine the coefficients of this transfer function and its possible variants depending on the filter order and the distribution of the fractional-order terms in the transfer function. Optimization algorithm is used to approximate the target Butterworth low-pass magnitude response, whereas the approximation errors are evaluated. The interpolated equations for computing the transfer function coefficients are provided. An example of the transformation of the fractional-order low-pass to the high-pass filter is also presented. The results are verified by simulation of multiple-feedback filter with operational transconductance amplifiers and fractional-order element.
Klíčová slova
fractional-order; analogue filter; transfer function; Butterworth response; non-cascade filter synthesis
Autoři
KUBÁNEK, D.; KOTON, J.; JEŘÁBEK, J.; ANDRIUKAITIS, D.
Vydáno
23. 6. 2021
Nakladatel
De Gruyter
ISSN
1314-2224
Periodikum
Fractional Calculus and Applied Analysis
Ročník
24
Číslo
3
Stát
Bulharská republika
Strany od
689
Strany do
714
Strany počet
26
URL
https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html
Plný text v Digitální knihovně
http://hdl.handle.net/11012/201743
BibTex
@article{BUT171883, author="David {Kubánek} and Jaroslav {Koton} and Jan {Jeřábek} and Darius {Andriukaitis}", title="(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response", journal="Fractional Calculus and Applied Analysis", year="2021", volume="24", number="3", pages="689--714", doi="10.1515/fca-2021-0030", issn="1314-2224", url="https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html" }