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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20201 - Electrical and electronic engineering

Project

<a href="/en/project/LTC18022" target="_blank" >LTC18022: Analogue fractional systems, their synthesis and analysis</a><br>

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

Microelectronics Journal

ISSN

0026-2692

e-ISSN

1879-2391

Volume of the periodical

2019

Issue of the periodical within the volume

86

Country of publishing house

GB - UNITED KINGDOM

Number of pages

10

Pages from-to

77-86

UT code for WoS article

000464358900010

EID of the result in the Scopus database

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