A Fractional-Order Transitional Butterworth-Butterworth Filter and Its Experimental Validation
Shibendu Mahata, Norbert Herencsár, David Kubánek, Rajib Kar, Durbadal Mandal, İzzet Cem Göknar
Abstract
This paper introduces the generalization of the classical Transitional Butterworth-Butterworth Filter (TBBF) to the Fractional-Order (FO) domain. Stable rational approximants of the FO-TBBF are optimally realized. Several design examples demonstrate the robustness and modeling efficacy of the proposed method. Practical circuit implementation using the current feedback operational amplifier employed as an active element is presented. Experimental results endorse good agreement (R2= 0.999968) with the theoretical magnitude-frequency characteristic.
Topics & Concepts
Butterworth filterControl theory (sociology)Robustness (evolution)GeneralizationComputer scienceFilter (signal processing)Low-pass filterMathematicsPrototype filterMathematical analysisGeneBiochemistryArtificial intelligenceComputer visionControl (management)ChemistryAdvanced Control Systems DesignAnalog and Mixed-Signal Circuit DesignAdvancements in PLL and VCO Technologies