Publication detail

Comparative Study of Fractional-Order Differentiators and Integrators

TSIRIMOKOU, G. KARTCI, A. KOTON, J. HERENCSÁR, N. PSYCHALINOS, C.

Original Title

Comparative Study of Fractional-Order Differentiators and Integrators

English Title

Comparative Study of Fractional-Order Differentiators and Integrators

Type

conference paper

Language

en

Original Abstract

The transfer function of fractional-order differentiators and integrators can be approximated through the utilization of appropriate integer-order transfer functions. Efficient tools towards this goal include the Continued Fraction Expansion as well as the Oustaloup’s approximations. In this paper, the accuracy of the expressions derived through the various orders of these approximations, in terms of magnitude and phase response, is studied. In addition, the corresponding implementations derived using fundamental active cells such as operational amplifiers, operational transconductance amplifiers, current conveyors, and current feedback operational amplifiers realized in commercially available discrete-component IC form are presented and compared.

English abstract

The transfer function of fractional-order differentiators and integrators can be approximated through the utilization of appropriate integer-order transfer functions. Efficient tools towards this goal include the Continued Fraction Expansion as well as the Oustaloup’s approximations. In this paper, the accuracy of the expressions derived through the various orders of these approximations, in terms of magnitude and phase response, is studied. In addition, the corresponding implementations derived using fundamental active cells such as operational amplifiers, operational transconductance amplifiers, current conveyors, and current feedback operational amplifiers realized in commercially available discrete-component IC form are presented and compared.

Keywords

Continued Fraction Expansion; current conveyor; current feedback operational amplifier; fractional-order differentiator; fractional-order integrator; op-amp; operational transconductance amplifier; Oustaloup’s approximation

Released

04.07.2017

Location

Barcelona

ISBN

978-1-5090-3981-4

Book

Proc. 40th Int. Conf. Telecommunications and Signal Processing

Pages from

714

Pages to

717

Pages count

4

URL

Documents

BibTex


@inproceedings{BUT137705,
  author="Georgia {Tsirimokou} and Aslihan {Kartci} and Jaroslav {Koton} and Norbert {Herencsár} and Costas {Psychalinos}",
  title="Comparative Study of Fractional-Order Differentiators and Integrators",
  annote="The transfer function of fractional-order differentiators and integrators can be approximated through the utilization of appropriate integer-order transfer functions. Efficient tools towards this goal include the Continued Fraction Expansion as well as the Oustaloup’s approximations. In this paper, the accuracy of the expressions derived through the various orders of these approximations, in terms of magnitude and phase response, is studied. In addition, the corresponding implementations derived using fundamental active cells such as operational amplifiers, operational transconductance amplifiers, current conveyors, and current feedback operational amplifiers realized in commercially available discrete-component IC form are presented and compared.",
  booktitle="Proc. 40th Int. Conf. Telecommunications and Signal Processing",
  chapter="137705",
  doi="10.1109/TSP.2017.8076081",
  howpublished="online",
  year="2017",
  month="july",
  pages="714--717",
  type="conference paper"
}