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

English 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

en

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.

English 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

Released

18.06.2018

Publisher

Kaunas University of Technology

Location

Kaunas, Lithuania

ISBN

1392-1215

Periodical

Elektronika Ir Elektrotechnika

Year of study

24

Number

2

State

LT

Pages from

37

Pages to

41

Pages count

5

Documents

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",
  annote="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.",
  address="Kaunas University of Technology",
  chapter="148582",
  doi="10.5755/j01.eie.24.2.20634",
  howpublished="online",
  institution="Kaunas University of Technology",
  number="2",
  volume="24",
  year="2018",
  month="june",
  pages="37--41",
  publisher="Kaunas University of Technology",
  type="journal article in Web of Science"
}