Detail publikace

(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor

KUBÁNEK, D. FREEBORN, T.

Originální název

(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The coefficients of three fractional-order low-pass transfer functions are presented to aid in the design of these filters based on their arbitrary quality factors. These coefficients are found by minimizing the error between these fractional-order transfer functions and the second-order transfer function using numerical least squares optimization. Coefficients and design equations are presented for fractional-orders between one and two. Stability of the transfer functions with the presented coefficients is examined and possibilities of characteristic frequency shifting are shown. The results are verified by PSpice simulation of a conveyor-based low-pass filter with fractional order of 1.5 and quality factor Q = 5.

Klíčová slova

Fractional-order filter; Analog filter; Fractional-order transfer function; Fractional calculus

Autoři

KUBÁNEK, D.; FREEBORN, T.

Vydáno

29. 4. 2017

Nakladatel

ELSEVIER GMBH, URBAN & FISCHER VERLAG

Místo

Germany

ISSN

1434-8411

Periodikum

AEU - International Journal of Electronics and Communications

Ročník

2017 (78)

Číslo

, IF: 0.786

Stát

Spolková republika Německo

Strany od

1

Strany do

10

Strany počet

10

URL

https://doi.org/10.1016/j.aeue.2017.04.031

BibTex

@article{BUT137071,
  author="David {Kubánek} and Todd {Freeborn}",
  title="(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor",
  journal="AEU - International Journal of Electronics and Communications",
  year="2017",
  volume="2017 (78)",
  number=", IF: 0.786",
  pages="1--10",
  doi="10.1016/j.aeue.2017.04.031",
  issn="1434-8411",
  url="https://doi.org/10.1016/j.aeue.2017.04.031"
}