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TSIRIMOKOU, G. KARTCI, A. KOTON, J. HERENCSÁR, N. PSYCHALINOS, C.
Original Title
Comparative Study of Fractional-Order Differentiators and Integrators
Type
conference paper
Language
English
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.
Keywords
Continued Fraction Expansion; current conveyor; current feedback operational amplifier; fractional-order differentiator; fractional-order integrator; op-amp; operational transconductance amplifier; Oustaloup’s approximation
Authors
TSIRIMOKOU, G.; KARTCI, A.; KOTON, J.; HERENCSÁR, N.; PSYCHALINOS, C.
Released
4. 7. 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
https://ieeexplore.ieee.org/document/8076081
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", booktitle="Proc. 40th Int. Conf. Telecommunications and Signal Processing", year="2017", pages="714--717", address="Barcelona", doi="10.1109/TSP.2017.8076081", isbn="978-1-5090-3981-4", url="https://ieeexplore.ieee.org/document/8076081" }