A Fractional-Order Transitional Butterworth-Butterworth Filter and Its Experimental Validation

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 propos...

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Bibliographic Details
Main Authors: Shibendu Mahata, Norbert Herencsar, David Kubanek, Rajib Kar, Durbadal Mandal, I. Cem Goknar
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9541381/
Description
Summary: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 (<inline-formula> <tex-math notation="LaTeX">$\text {R}^{2} = 0.999968$ </tex-math></inline-formula>) with the theoretical magnitude-frequency characteristic.
ISSN:2169-3536