ABSTRACT
This chapter outlines the different approaches to designing and implementing a generalized fractional-order filter in a discrete time domain. These approaches are based on conventional mathematical formulations and optimization-based approximations. In the first designing technique, different types of fractional-order transfer functions are taken and discretized using the existing mathematical framework and efficiently designed interpolated techniques. The next scheme utilizes the metaheuristic optimization techniques to configure the fractional-order filters directly in the digital domain. Several numerical simulations are performed in the MATLAB environment to analyse the merits and limitations of the two design techniques. Pole-zero analysis are also performed to illustrate the stability of the proposed designs. Further, magnitude and phase responses are obtained to compare the performances and to review the suitability of realized filters for different applications. The simulation results of design examples demonstrate the noteworthy review of using fractional-order over the integer-order digital filters.
