Detail publikace

Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

MAHATA, S. HERENCSÁR, N. KUBÁNEK, D.

Originální název

Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

analog filter approximation; current feedback operational amplifier; fractional-order filter; inverse filter; optimization; power-law filter; second-order filter

Autoři

MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.

Vydáno

8. 4. 2022

Nakladatel

MDPI

Místo

BASEL

ISSN

2504-3110

Periodikum

Fractal and Fractional

Ročník

6

Číslo

4

Stát

Švýcarská konfederace

Strany od

1

Strany do

25

Strany počet

25

URL

https://www.mdpi.com/2504-3110/6/4/209

Plný text v Digitální knihovně

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"
}