Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20201 - Electrical and electronic engineering
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Sciences - Basel
ISSN
2076-3417
e-ISSN
—
Volume of the periodical
8
Issue of the periodical within the volume
12
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
1-17
UT code for WoS article
000455145000271
EID of the result in the Scopus database
2-s2.0-85058299568