Abstract
This paper proposes a novel implementation of switched capacitor (SC) fractional order differentiators (FOD) based on Tustin operator and Al-Alaoui operator. The existing models of half differentiator s 1/2 have been expanded using continued fraction expansion and implemented using PSpice. The PSpice simulation results are compared with the theoretical results in the continuous time domain. The results validate the effectiveness of the SC circuit implementation of the proposed approach. A detailed analysis of the influence of the non-idealities of the third order Al-Alaoui operator based half differentiator is performed. The analytical expressions for errors in magnitude and phase due to the above mentioned non-idealities have been derived for the SC integrator and amplifier circuits used in our realisation.
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