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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU141089" target="_blank" >RIV/00216305:26220/21:PU141089 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/fca-2021-0030/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/fca-2021-0030" target="_blank" >10.1515/fca-2021-0030</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA19-24585S" target="_blank" >GA19-24585S: Syntéza elektrických fantomů věrně popisující fraktální impedanční chování reálných systémů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fractional Calculus and Applied Analysis

ISSN

1311-0454

e-ISSN

1314-2224

Svazek periodika

24

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

BG - Bulharská republika

Počet stran výsledku

26

Strana od-do

689-714

Kód UT WoS článku

000664879900002

EID výsledku v databázi Scopus

2-s2.0-85108871490