Detail publikace

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

KUBÁNEK, D. FREEBORN, T. KOTON, J.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Fractional-order filter; Fractional calculus; Band-pass filter; Transfer function; Magnitude response

Autoři

KUBÁNEK, D.; FREEBORN, T.; KOTON, J.

Vydáno

1. 4. 2019

Nakladatel

ELSEVIER SCI LTD

Místo

England

ISSN

0026-2692

Periodikum

Microelectronics Journal

Ročník

2019

Číslo

86

Stát

Spojené království Velké Británie a Severního Irska

Strany od

77

Strany do

86

Strany počet

10

URL

https://doi.org/10.1016/j.mejo.2019.02.020

BibTex

@article{BUT157947,
  author="David {Kubánek} and Todd {Freeborn} and Jaroslav {Koton}",
  title="Fractional-order band-pass filter design using fractional-characteristic specimen functions",
  journal="Microelectronics Journal",
  year="2019",
  volume="2019",
  number="86",
  pages="77--86",
  doi="10.1016/j.mejo.2019.02.020",
  issn="0026-2692",
  url="https://doi.org/10.1016/j.mejo.2019.02.020"
}