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Generalized Fully Adjustable Structure for Emulating Fractional-Order Capacitors and Inductors of Orders less than Two

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Abstract

A novel scheme suitable for the emulation of fractional-order capacitors and inductors of any order less than 2 is presented in this work. Classically, fractional-order impedances are characterized in the frequency domain by a fractional-order Laplacian of the form \(s^{\pm \alpha }\) with an order \(0<\alpha <1\). The ideal inductor and capacitor correspond, respectively, to setting \(\alpha =\pm 1\). In the range \(1<\alpha <2\), fractional-order impedances can still be obtained before turning into a Frequency- Dependent Negative Resistor (FDNR) at \(\alpha =\pm 2\). Here, we propose an electronically tunable fractional-order impedance emulator with adjustable order in the full range \(0<\alpha <2\). The values of the emulated capacitance/inductance, as well as the bandwidth of operation, are also electronically adjustable. The post- layout simulation results confirm the correct operation of the proposed circuits.

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Authors and Affiliations

  1. Electronics Laboratory, Physics Department, University of Patras, Rio, Patras, 26504, Greece

    Stavroula Kapoulea, Georgia Tsirimokou & Costas Psychalinos

  2. Department of Electrical and Computer Engineering, University of Sharjah, P. O. Box 27272, Sharjah, UAE

    Ahmed S. Elwakil

  3. Nanoelectronics Integrated Systems Center (NISC), Nile University, Giza, Egypt

    Ahmed S. Elwakil

  4. Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alberta, Canada

    Ahmed S. Elwakil

Authors
  1. Stavroula Kapoulea
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  2. Georgia Tsirimokou
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  3. Costas Psychalinos
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  4. Ahmed S. Elwakil
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Corresponding author

Correspondence to Costas Psychalinos.

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This research is co-financed by Greece and the European Union (European Social Fund-ESF) through the Operational Programme “Human Resources Development, Education and Lifelong Learning” in the context of the project “Strengthening Human Resources Research Potential via Doctorate Research-2nd Cycle” (MIS-5000432), implemented by the State Scholarships Foundation (IKY).

This article is based upon work from COST Action CA15225, a network supported by COST (European Cooperation in Science and Technology.

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Kapoulea, S., Tsirimokou, G., Psychalinos, C. et al. Generalized Fully Adjustable Structure for Emulating Fractional-Order Capacitors and Inductors of Orders less than Two. Circuits Syst Signal Process 39, 1797–1814 (2020). https://doi.org/10.1007/s00034-019-01252-5

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  • DOI: https://doi.org/10.1007/s00034-019-01252-5

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