Publication detail

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

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

25

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"
}