Design and application examples of CMOS fractional-order differentiators and integrators

Elwakil, Ahmed/0000-0002-3972-5434; Psychalinos, Costas/0000-0002-0817-7228; Bertsias, Panagiotis/0000-0002-2669-5555; Minaei, Shahram/0000-0002-6921-9348Reduced complexity CMOS fractional-order differentiator and integrator building blocks are introduced in this work, based on 2nd-order integer-order transfer function approximations. These blocks are then used for implementing fractional-order filters as well as a Leaky-Integrate-and-Fire Mihalas-Niebur neuron model. Cascading 1st and 2nd- order order blocks to obtain 5th-order integer-order transfer functions, improved bandwidth of approximation accuracy is achieved. Furthermore, the realization of fractional-order capacitor and inductor emulators is demonstrated.General Secretariat for Research and Technology (GSRT)Greek Ministry of Development-GSRT; Hellenic Foundation for Research and Innovation (HFRI); COST (European Cooperation in Science and Technology)European Cooperation in Science and Technology (COST) [CA15225]This work is supported by the General Secretariat for Research and Technology (GSRT) and the Hellenic Foundation for Research and Innovation (HFRI).; This article is based upon work from COST Action CA15225, a network supported by COST (European Cooperation in Science and Technology)