FRACTIONAL ORDER CAPACITOR BASED REALIZATION OF INVERSE FILTERS AND FILTERS

Abstract

Fractional calculus, i.e. fractional order integration and differentiation, which is considered as the backbone of fractional order circuits, has numerous applications in science and engineering fields namely, bio-medical engineering, control system, analog signal processing/generation, fluid mechanics, etc. In this dissertation after briefly reviewing various methods employed in the realization of simulated fractional order capacitors novel circuits of operational transconductace amplifier-based inverse filters have been presented. As a second problem, the performance of an existing, VDTA-based biquad filter in fractional order domain has evaluated. The electronic tunability of the various parameters of the VDTA-based fractional order filters has also been examined. The workability of the inverse fractional order filter circuits along with fractional operator have been verified through Cadence virtuoso simulation tool using 0.18um CMOS technology parameter and generalized universal fractional order filter configuration using PSPICE and MATLAB simulation. Also, stability of the fractional order filter designed have been discussed briefly.