Optimized fractional-order Butterworth filter design in complex F-plane
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU145539" target="_blank" >RIV/00216305:26220/22:PU145539 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13540-022-00081-9" target="_blank" >https://link.springer.com/article/10.1007/s13540-022-00081-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13540-022-00081-9" target="_blank" >10.1007/s13540-022-00081-9</a>
Alternative languages
Result language
angličtina
Original language name
Optimized fractional-order Butterworth filter design in complex F-plane
Original language description
This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical phase angle as an inequality constraint. The poles of the proposed approximants reside on the unit circle in the stable region of the F-plane. The improved accuracy of the suggested scheme as compared to the recently published literature is demonstrated. A mixed-integer genetic algorithm which considers the parallel combinations of resistors and capacitors for the Valsa network is used to optimize the frequency responses of the fractional-order capacitor emulators as part of the experimental verification using the Sallen-Key filter topology. The total harmonic distortion and spurious-free dynamic range of the practical 1.5th-order Butterwoth filter are measured as 0.13% and 62.18 dBc, respectively; the maximum and mean absolute relative magnitude errors are 0.03929 and 0.02051, respectively.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
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
25
Issue of the periodical within the volume
5
Country of publishing house
BG - BULGARIA
Number of pages
17
Pages from-to
1-17
UT code for WoS article
000854745800001
EID of the result in the Scopus database
2-s2.0-85138076287