Abstract
This paper focuses on designing two digital second order infinite impulse response (IIR) fractional order circuits-a digital differentiator and a DC blocker using optimization techniques. The Firefly Algorithm was first employed for designing a second order infinite impulse response digital fractional order differentiator and the time complexity was measured. Next the efficacy of the Firefly algorithm and Cuckoo Search Algorithm were compared in designing a new second order infinite impulse response DC Blocker by comparing the closeness to ideal response of the DC blocker. The DC blocker designed by Firefly Algorithm outperforms the existing first order recursive DC blocker as well as the one designed by the Cuckoo Search Algorithm.
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