Publication result detail

Optimized fractional-order Butterworth filter design in complex F-plane

MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.; GÖKNAR, I. C.

Original Title

Optimized fractional-order Butterworth filter design in complex F-plane

English Title

Optimized fractional-order Butterworth filter design in complex F-plane

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

Fractional-order system (primary); Analog filter approximation; F-domain; Fractional-order capacitor; Constrained optimization; Fractional-order Butterworth filter; Stability

Key words in English

Fractional-order system (primary); Analog filter approximation; F-domain; Fractional-order capacitor; Constrained optimization; Fractional-order Butterworth filter; Stability

Authors

MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.; GÖKNAR, I. C.

RIV year

2023

Released

15.09.2022

Publisher

SPRINGERNATURE

Location

LONDON

ISBN

1311-0454

Periodical

Fractional Calculus and Applied Analysis

Volume

25

Number

5

State

Republic of Bulgaria

Pages from

1

Pages to

17

Pages count

17

URL

https://link.springer.com/article/10.1007/s13540-022-00081-9

Full text in the Digital Library

http://hdl.handle.net/11012/208424

BibTex

@article{BUT179137,
  author="Shibendu {Mahata} and Norbert {Herencsár} and David {Kubánek} and Izzet Cem {Göknar}",
  title="Optimized fractional-order Butterworth filter design in complex F-plane",
  journal="Fractional Calculus and Applied Analysis",
  year="2022",
  volume="25",
  number="5",
  pages="1--17",
  doi="10.1007/s13540-022-00081-9",
  issn="1311-0454",
  url="https://link.springer.com/article/10.1007/s13540-022-00081-9"
}

Documents

s13540-022-00081-9