Performance Analysis of Fractional Order Sallen-Key High-pass Filter Using Fractional Capacitors

Abstract

Fractional order filters are the emerging area for design of the filters for producing the best performance in the field of electronic circuits and systems. In this paper, a High-pass fractional order Sallen-Key filter is being studied using two fractional order capacitors FC1 and FC2. Where, the orders of the capacitors $\mathrm{FC}_{1}$ and FC2 vary as $0.1\leq\alpha\leq 1.0$ and $0.1\leq\beta\leq 1.0$ respectively. The proposed filter circuit is being implemented in MATLAB/Simulink and their mathematical equations are being obtained in s-domain. Thereafter, the magnitude and phase equations are being derived. Here, both frequency and time domain analysis are being resulted and analysed.