Publication detail

(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.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

23. 6. 2021

Publisher

De Gruyter

ISBN

1314-2224

Periodical

Fractional Calculus and Applied Analysis

Year of study

24

Number

3

State

Republic of Bulgaria

Pages from

689

Pages to

714

Pages count

26

URL

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

Full text in the Digital Library

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"
}