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

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± α with an order 0 < α< 1. The ideal inductor and capacitor correspond, respectively, to setting α= ± 1. In the range 1 < α< 2 , fractional-order impedances can still be obtained before turning into a Frequency- Dependent Negative Resistor (FDNR) at α= ± 2. Here, we propose an electronically tunable fractional-order impedance emulator with adjustable order in the full range 0 < α< 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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.