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MAHATA, S. HERENCSÁR, N. KUBÁNEK, D.
Original Title
Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form
Type
journal article in Web of Science
Language
English
Original Abstract
This paper proposes a further generalization of the fractional-order filters whose limiting form is that of the second-order filter. This new filter class can also be regarded as a superset of the recently reported power-law filters. An optimal approach incorporating constraints that restricts the real part of the roots of the numerator and denominator polynomials of the proposed rational approximant to negative values is formulated. Consequently, stable inverse filter characteristics can also be achieved using the suggested method. Accuracy of the proposed low-pass, high-pass, band-pass, and band-stop filters for various combinations of design parameters is evaluated using the absolute relative magnitude/phase error metrics. Current feedback operational amplifier-based circuit simulations validate the efficacy of the four types of designed filters and their inverse functions. Experimental results for the frequency and time-domain performances of the proposed fractional-order band-pass filter and its inverse counterpart are also presented.
Keywords
analog filter approximation; current feedback operational amplifier; fractional-order filter; inverse filter; optimization; power-law filter; second-order filter
Authors
MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.
Released
8. 4. 2022
Publisher
MDPI
Location
BASEL
ISBN
2504-3110
Periodical
Fractal and Fractional
Year of study
6
Number
4
State
Swiss Confederation
Pages from
1
Pages to
25
Pages count
URL
https://www.mdpi.com/2504-3110/6/4/209
Full text in the Digital Library
http://hdl.handle.net/11012/204157
BibTex
@article{BUT177679, author="Shibendu {Mahata} and Norbert {Herencsár} and David {Kubánek}", title="Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form", journal="Fractal and Fractional", year="2022", volume="6", number="4", pages="1--25", doi="10.3390/fractalfract6040209", issn="2504-3110", url="https://www.mdpi.com/2504-3110/6/4/209" }