Publication detail

Evaluation of (1 + α) Fractional-Order Approximated Butterworth High-Pass and Band-Pass Filter Transfer Functions

KUBÁNEK, D. FREEBORN, T. KOTON, J. HERENCSÁR, N.

Original Title

Evaluation of (1 + α) Fractional-Order Approximated Butterworth High-Pass and Band-Pass Filter Transfer Functions

Type

journal article in Web of Science

Language

English

Original Abstract

This paper summarizes multiple cases of highpass (HP) and band-pass (BP) analogue filter transfer functions with fractional order 1 < (1 + α) < 2. All HP and BP transfer functions are evaluated against the magnitude characteristics of ideal Butterworth responses when coefficients previously determined to approximate fractional-order (FO) Butterworth low-pass (LP) transfer functions are utilized. Comparisons of the simulated FO HP and BP responses against the ideal Butterworth responses are presented, with a least squares error analysis applied to determine the transfer functions that best approximate the Butterworth response for both HP and BP FO filters.

Keywords

Active filters; Butterworth approximation; Fractional calculus; Fractional-order filters; Transfer functions

Authors

KUBÁNEK, D.; FREEBORN, T.; KOTON, J.; HERENCSÁR, N.

Released

18. 6. 2018

Publisher

Kaunas University of Technology

Location

Kaunas, Lithuania

ISBN

1392-1215

Periodical

Elektronika Ir Elektrotechnika

Year of study

24

Number

2

State

Republic of Lithuania

Pages from

37

Pages to

41

Pages count

5

BibTex

@article{BUT148582,
  author="David {Kubánek} and Todd {Freeborn} and Jaroslav {Koton} and Norbert {Herencsár}",
  title="Evaluation of (1 + α) Fractional-Order Approximated Butterworth High-Pass and Band-Pass Filter Transfer Functions",
  journal="Elektronika Ir Elektrotechnika",
  year="2018",
  volume="24",
  number="2",
  pages="37--41",
  doi="10.5755/j01.eie.24.2.20634",
  issn="1392-1215"
}