Practical Realization of Tunable Fractional Order Parallel Resonator and Fractional Order Filters

Electronically Tunable Fully Integrated Fractional-Order Resonator

“…Although it is possible to also emulate a fractional-order resonance circuit on a Field Programmable Analog Array (FPAA) platform [20], low frequency operation will be difficult to achieve due to the very large values of inductance which are impossible to realize with the FPAA switched-capacitor technology. The same holds for the fractional-order parallel resonance circuit recently reported in [15] which is in discrete IC component form and relies on GIC to transform the fractional-order capacitor into a fractional-order inductor. …”

“…Test results of a chip containing fabricated CMOS fractional-order capacitor emulators were recently reported in [10]. To-date, realization of a fractional-order inductor has only been approached through the realization of a fractionalorder capacitor using appropriately configured RC networks [11] and then through the employment of a Generalized Impedance Converter (GIC) to transform it into an inductor [12], [13], [14], [15], [16] or using discrete Current Feedback Operational Amplifiers (CFOAs) as active elements [17].…”

Practical Design of Fractional-Order Oscillator Employing Simple Resonator and Negative Resistor

“…The resonator (in the meaning of parallel LC network) represents the important part of the oscillator design [1]. Several fractional-order resonators has been introduced quite recently, [11] for instance based on opamps in Antoniou impedance inverter [11], [12] (many floating passive elements, complicated electronic controllability) and employs combination of fractional-and integer-order capacitors. However, implementation of such resonator in the oscillator design is not necessary as shown in our contribution.…”

Minimum MOS Transistor Count Fractional-Order Voltage-Mode and Current-Mode Filters

“…Fractional-order filters, implemented using various types of active elements such as Operational Amplifiers (op-amps), Operational Transconductance Amplifiers (OTAs), second generation Current Conveyors (CCIIs), Current-Feedback Operational Amplifiers (CFOAs) and current-mirrors (CMs), have been already proposed in the literature [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. All of them suffer from the increased number of MOS transistors which are required for implementing the active elements.…”