Detail publikačního výsledku

Fractional-order Lowpass Elliptic Responses of (1 + a)-order Transfer Functions

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

Originální název

Fractional-order Lowpass Elliptic Responses of (1 + a)-order Transfer Functions

Anglický název

Fractional-order Lowpass Elliptic Responses of (1 + a)-order Transfer Functions

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

In this paper a least squares fitting is applied to determine the coefficients of a fractional-order transfer function that approximates the passband and stopband ripple characteristics of a second-order Elliptic lowpass filter. These fittings are applied to three different frequency ranges to evaluate the impact of the selection of approximated frequency band on the determined coefficients and the transfer function magnitude characteristics. MATLAB simulations of (1 + a) order lowpass magnitude responses with fractional steps from a = 0.1 to a = 0.9 are given as examples to highlight the fractionalstep compared to the second-order Elliptic response. Further, MATLAB simulations of the (1 + a) = 1.25 and 1.75 using all three sets of coefficients determined using different frequency bands are given as examples to highlight their differences.

Anglický abstrakt

In this paper a least squares fitting is applied to determine the coefficients of a fractional-order transfer function that approximates the passband and stopband ripple characteristics of a second-order Elliptic lowpass filter. These fittings are applied to three different frequency ranges to evaluate the impact of the selection of approximated frequency band on the determined coefficients and the transfer function magnitude characteristics. MATLAB simulations of (1 + a) order lowpass magnitude responses with fractional steps from a = 0.1 to a = 0.9 are given as examples to highlight the fractionalstep compared to the second-order Elliptic response. Further, MATLAB simulations of the (1 + a) = 1.25 and 1.75 using all three sets of coefficients determined using different frequency bands are given as examples to highlight their differences.

Klíčová slova

Elliptic; fractional circuits; fractional-filters

Klíčová slova v angličtině

Elliptic; fractional circuits; fractional-filters

Autoři

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

Rok RIV

2019

Vydáno

04.07.2018

Nakladatel

Institute of Electrical and Electronics Engineers Inc.

Místo

Athens

ISBN

978-1-5386-4695-3

Kniha

Proceedings of 41st International Conference on Telecommunications and Signal Processing (TSP)

ISSN

1805-5435

Periodikum

International Conference on Telecommunications and Signal Processing (TSP)

Stát

Česká republika

Strany od

346

Strany do

349

Strany počet

4

URL

https://ieeexplore.ieee.org/document/8441421

BibTex

@inproceedings{BUT148730,
  author="Todd {Freeborn} and David {Kubánek} and Jaroslav {Koton} and Jan {Dvořák}",
  title="Fractional-order Lowpass Elliptic Responses of (1 + a)-order Transfer Functions",
  booktitle="Proceedings of 41st International Conference on Telecommunications and Signal Processing (TSP)",
  year="2018",
  journal="International Conference on Telecommunications and Signal Processing (TSP)",
  pages="346--349",
  publisher="Institute of Electrical and Electronics Engineers Inc.",
  address="Athens",
  doi="10.1109/TSP.2018.8441421",
  isbn="978-1-5386-4695-3",
  issn="1805-5435",
  url="https://ieeexplore.ieee.org/document/8441421"
}