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MAHATA, S. HERENCSÁR, N. KUBÁNEK, D.
Originální název
Optimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filters
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
In this paper, a new two-steps design strategy is introduced for the optimal rational approximation of the fractional-order Butterworth filter. At first, the weighting factors of the summation between the nth -order and the (n+1)th -order Butterworth filters are optimally determined. Subsequently, this model is employed as an initial point for another optimization routine, which minimizes the magnitude-frequency error relative to the (n+α)th -order, where α∈(0,1) , Butterworth filter. The proposed approximant demonstrates improved performance about the magnitude mean squared error compared to the state-of-the-art design for six decades of bandwidth, but the introduced approach does not require a fractional-order transfer function model and the approximant of the sα operator. The proposed strategy also avoids the use of the cascading technique to yield higher-order fractional-order Butterworth filter models. The performance of the proposed 1.5th-order Butterworth filter in follow-the-leader feedback topology is verified through SPICE simulations and its hardware implementation based on Analog Devices AD844AN-type current feedback operational amplifier.
Klíčová slova
Analog filter approximation, approximation method, Butterworth filter, current feedback operational amplifier, fractional calculus, fractional-order filter, interpolation, low-pass filter, mean square error method, optimization method.
Autoři
MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.
Vydáno
2. 6. 2021
Nakladatel
IEEE
ISSN
2169-3536
Periodikum
IEEE Access
Ročník
9
Číslo
1
Stát
Spojené státy americké
Strany od
81097
Strany do
81114
Strany počet
18
URL
https://ieeexplore.ieee.org/document/9445054
Plný text v Digitální knihovně
http://hdl.handle.net/11012/200668
BibTex
@article{BUT172046, author="Shibendu {Mahata} and Norbert {Herencsár} and David {Kubánek}", title="Optimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filters", journal="IEEE Access", year="2021", volume="9", number="1", pages="81097--81114", doi="10.1109/ACCESS.2021.3085515", issn="2169-3536", url="https://ieeexplore.ieee.org/document/9445054" }