Performance Analysis of Fractional Order Sallen-Key High-pass Filter Using Fractional Capacitors
Sumit Swain, Kumar Biswal, Madhab Chandra Tripathy, Sanjeeb Kumar Kar
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 FC <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> and FC <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> . Where, the orders of the capacitors FC1 and FC <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> vary as 0.1 ≤ α ≤ 1.0 and 0.1 ≤ β ≤ 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.