Fractional-order band-pass filter design using fractional-characteristic specimen functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU132878" target="_blank" >RIV/00216305:26220/19:PU132878 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.mejo.2019.02.020" target="_blank" >https://doi.org/10.1016/j.mejo.2019.02.020</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.mejo.2019.02.020" target="_blank" >10.1016/j.mejo.2019.02.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional-order band-pass filter design using fractional-characteristic specimen functions

Popis výsledku v původním jazyce

Two (α + β)-order transfer functions realizing fractional-order band-pass filter responses are presented and analysed, where 0 < α ≤ 1 and 0 < β ≤ 1. Generalizing the transfer functions from integer to fractional order offers continuous and independent control of the magnitude characteristic slopes both below and above the filter center frequency. The transfer function coefficients that minimize the magnitude error between the discussed fractional-order transfer functions and proposed fractional-characteristic specimen functions in a specified frequency band are determined using a numerical least squares optimization search routine. The relations for computing the transfer function coefficients as functions of α and β are given. The simulations show that the magnitude frequency characteristics of the transfer functions with the new coefficients are very well matched with the specimen functions. Further verification of these results was carried out using the Tow-Thomas filter topology with RC approximations of fractional-order capacitors. The computation of filter element parameters is demonstrated for selected values of α and β and the simulated and measured frequency characteristics of the filter are included to validate the fractional-order responses.

Název v anglickém jazyce

Fractional-order band-pass filter design using fractional-characteristic specimen functions

Popis výsledku anglicky

Two (α + β)-order transfer functions realizing fractional-order band-pass filter responses are presented and analysed, where 0 < α ≤ 1 and 0 < β ≤ 1. Generalizing the transfer functions from integer to fractional order offers continuous and independent control of the magnitude characteristic slopes both below and above the filter center frequency. The transfer function coefficients that minimize the magnitude error between the discussed fractional-order transfer functions and proposed fractional-characteristic specimen functions in a specified frequency band are determined using a numerical least squares optimization search routine. The relations for computing the transfer function coefficients as functions of α and β are given. The simulations show that the magnitude frequency characteristics of the transfer functions with the new coefficients are very well matched with the specimen functions. Further verification of these results was carried out using the Tow-Thomas filter topology with RC approximations of fractional-order capacitors. The computation of filter element parameters is demonstrated for selected values of α and β and the simulated and measured frequency characteristics of the filter are included to validate the fractional-order responses.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/LTC18022" target="_blank" >LTC18022: Analogové fraktální systémy, jejich návrh a analýza</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Microelectronics Journal

ISSN

0026-2692

e-ISSN

1879-2391

Svazek periodika

2019

Číslo periodika v rámci svazku

86

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

77-86

Kód UT WoS článku

000464358900010

EID výsledku v databázi Scopus

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