Realization and study of a fractional order resonator using an obtuse angle fractor

Abstract

This paper discusses development of a fractional order resonator (FOR) using a single fractor, a capacitor and a resistor. The said fractor is an obtuse angle type inductive fractor and inclusion of such fractor makes the Q-factor of this FOR infinite (theoretically). Besides, the proposed FOR is tunable; varying the fractance, the resonating frequency can be tuned. Design, simulation and hardware realization of this tunable FOR have been presented here along with detail experimental results. Experimentally a Q factor more than 100 has been achieved in this work. As an application of this FOR, a tunable FO Notch filter has also been discussed at the end of this paper.