Detail publikace

(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response

KUBÁNEK, D. KOTON, J. JEŘÁBEK, J. ANDRIUKAITIS, D.

Originální název

(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The formula of the all-pole low-pass frequency filter transfer function of the fractional order (N +α) designated for implementation by non-cascade multiple-feedback analogue structures is presented. The aim is to determine the coefficients of this transfer function and its possible variants depending on the filter order and the distribution of the fractional-order terms in the transfer function. Optimization algorithm is used to approximate the target Butterworth low-pass magnitude response, whereas the approximation errors are evaluated. The interpolated equations for computing the transfer function coefficients are provided. An example of the transformation of the fractional-order low-pass to the high-pass filter is also presented. The results are verified by simulation of multiple-feedback filter with operational transconductance amplifiers and fractional-order element.

Klíčová slova

fractional-order; analogue filter; transfer function; Butterworth response; non-cascade filter synthesis

Autoři

KUBÁNEK, D.; KOTON, J.; JEŘÁBEK, J.; ANDRIUKAITIS, D.

Vydáno

23. 6. 2021

Nakladatel

De Gruyter

ISSN

1314-2224

Periodikum

Fractional Calculus and Applied Analysis

Ročník

24

Číslo

3

Stát

Bulharská republika

Strany od

689

Strany do

714

Strany počet

26

URL

https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html

Plný text v Digitální knihovně

http://hdl.handle.net/11012/201743

BibTex

@article{BUT171883,
  author="David {Kubánek} and Jaroslav {Koton} and Jan {Jeřábek} and Darius {Andriukaitis}",
  title="(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response",
  journal="Fractional Calculus and Applied Analysis",
  year="2021",
  volume="24",
  number="3",
  pages="689--714",
  doi="10.1515/fca-2021-0030",
  issn="1314-2224",
  url="https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html"
}