Detail publikačního výsledku

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

KUBÁNEK, D.; FREEBORN, T.; KOTON, J.; DVOŘÁK, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

fractional-order filters; fractional calculus; Chebyshev filters; low-pass filters; magnitude responses

Klíčová slova v angličtině

fractional-order filters; fractional calculus; Chebyshev filters; low-pass filters; magnitude responses

Autoři

KUBÁNEK, D.; FREEBORN, T.; KOTON, J.; DVOŘÁK, J.

Rok RIV

2019

Vydáno

13.12.2018

Nakladatel

MDPI

Místo

Basel, Switzerland

ISSN

2076-3417

Periodikum

Applied Sciences-Basel

Svazek

8

Číslo

12

Stát

Švýcarská konfederace

Strany od

1

Strany do

17

Strany počet

17

URL

https://www.mdpi.com/2076-3417/8/12/2603

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137272

BibTex

@article{BUT151884,
  author="David {Kubánek} and Todd {Freeborn} and Jaroslav {Koton} and Jan {Dvořák}",
  title="Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters",
  journal="Applied Sciences-Basel",
  year="2018",
  volume="8",
  number="12",
  pages="1--17",
  doi="10.3390/app8122603",
  url="https://www.mdpi.com/2076-3417/8/12/2603"
}

Dokumenty

applsci-08-02603-v2