Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F18%3APU130151" target="_blank" >RIV/00216305:26220/18:PU130151 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2076-3417/8/12/2603" target="_blank" >https://www.mdpi.com/2076-3417/8/12/2603</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/app8122603" target="_blank" >10.3390/app8122603</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

Popis výsledku v původním jazyce

In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of (1 + α) order lowpass magnitude responses are given as examples with fractional steps from α = 0.1 to α = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the (1 + α) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for (1 + α) = 1.2 and 1.8 order filters.

Název v anglickém jazyce

Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

Popis výsledku anglicky

In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of (1 + α) order lowpass magnitude responses are given as examples with fractional steps from α = 0.1 to α = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the (1 + α) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for (1 + α) = 1.2 and 1.8 order filters.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Applied Sciences - Basel

ISSN

2076-3417

e-ISSN

—

Svazek periodika

8

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

17

Strana od-do

1-17

Kód UT WoS článku

000455145000271

EID výsledku v databázi Scopus

2-s2.0-85058299568