Switched Capacitor Realizations of Fractional-Order Differentiators and Integrators Based on an Operator with Improved Performance

Abstract

In this paper, switched capacitor realizations of discretized models of half differentiator and half integrator based on a new operator with improved performance have been proposed. This Al-Hsue operator is the weighted sum of the Al-Alaoui operator and the Hsue operator. The discretized models of the Al-Hsue operator have been expanded using Taylor Series Expansion and Continued Fraction Expansion, to be able to develop the Switched Capacitor realizations. These Switched Capacitor realizations are implemented using Spice and the results obtained are compared with the theoretical results of the continuous- time domain half differentiators and integrators. These Spice simulation results are also compared with the results of existing Al-Alaoui operator and Hsue operator based Switched Capacitor realizations of half differentiators and integrators of order 1/2. The results validate the effectiveness of the Switched Capacitor circuit implementation of the proposed approach.