Fractional-order inverting and non-inverting filters based on CFOA

This paper introduces a study to generalize the design of a continuous time filters into the fractional order domain. The study involves inverting and non-inverting filters based on CFOA where three responses are extracted which are high-pass, band-pass and low-pass responses. The proposed study introduces the generalized formulas for the transfer function of each response with different fractional orders. The fractional-order filters enhance the design flexibility and controllability due to the extra degree of freedom provided by the fractional order parameters. The general fundamentals of these filters are presented by calculating the cutoff frequency equation. Different numerical solutions for the generalized fractional order filters are introduced. Stability discussion is presented for different fractional order cases. Spice simulations results are introduced to validate the theoretical findings. © 2016 IEEE.