Optimized fractional-order Butterworth filter design in complex F-plane

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU145539" target="_blank" >RIV/00216305:26220/22:PU145539 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s13540-022-00081-9" target="_blank" >https://link.springer.com/article/10.1007/s13540-022-00081-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13540-022-00081-9" target="_blank" >10.1007/s13540-022-00081-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimized fractional-order Butterworth filter design in complex F-plane

Popis výsledku v původním jazyce

This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical phase angle as an inequality constraint. The poles of the proposed approximants reside on the unit circle in the stable region of the F-plane. The improved accuracy of the suggested scheme as compared to the recently published literature is demonstrated. A mixed-integer genetic algorithm which considers the parallel combinations of resistors and capacitors for the Valsa network is used to optimize the frequency responses of the fractional-order capacitor emulators as part of the experimental verification using the Sallen-Key filter topology. The total harmonic distortion and spurious-free dynamic range of the practical 1.5th-order Butterwoth filter are measured as 0.13% and 62.18 dBc, respectively; the maximum and mean absolute relative magnitude errors are 0.03929 and 0.02051, respectively.

Název v anglickém jazyce

Optimized fractional-order Butterworth filter design in complex F-plane

Popis výsledku anglicky

This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical phase angle as an inequality constraint. The poles of the proposed approximants reside on the unit circle in the stable region of the F-plane. The improved accuracy of the suggested scheme as compared to the recently published literature is demonstrated. A mixed-integer genetic algorithm which considers the parallel combinations of resistors and capacitors for the Valsa network is used to optimize the frequency responses of the fractional-order capacitor emulators as part of the experimental verification using the Sallen-Key filter topology. The total harmonic distortion and spurious-free dynamic range of the practical 1.5th-order Butterwoth filter are measured as 0.13% and 62.18 dBc, respectively; the maximum and mean absolute relative magnitude errors are 0.03929 and 0.02051, respectively.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

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

25

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

BG - Bulharská republika

Počet stran výsledku

17

Strana od-do

1-17

Kód UT WoS článku

000854745800001

EID výsledku v databázi Scopus

2-s2.0-85138076287