(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU141089" target="_blank" >RIV/00216305:26220/21:PU141089 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/fca-2021-0030" target="_blank" >10.1515/fca-2021-0030</a>
Alternative languages
Result language
angličtina
Original language name
(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response
Original language description
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.
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
<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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fractional Calculus and Applied Analysis
ISSN
1311-0454
e-ISSN
1314-2224
Volume of the periodical
24
Issue of the periodical within the volume
3
Country of publishing house
BG - BULGARIA
Number of pages
26
Pages from-to
689-714
UT code for WoS article
000664879900002
EID of the result in the Scopus database
2-s2.0-85108871490