Generalized Approach for Fractional-Order Low-Pass Butterworth Filter Realization with an Inverse Follow the Leader Filter (IFLF) Topology

This research presents a generalized approach to determine the coefficients to realize any (N+\alpha) fractional-order low-pass Butterworth response using transfer function forms based on the Inverse Follow the Leader Filter (IFLF) topology. This approach automates the process to create and assemble...

Full description

Saved in:
Bibliographic Details
Published inProceedings of IEEE Southeastcon pp. 1596 - 1602
Main Authors Aldridge, Rowan, Kubanek, David, Koton, Jaroslav, Freeborn, Todd J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 22.03.2025
Subjects
Approximation algorithms
Capacitors
Filtering algorithms
Integrated circuit modeling
Low-pass filters
MATLAB
Numerical models
Optimization
Topology
Transfer functions
Online AccessGet full text

Cover

More Information
Summary:This research presents a generalized approach to determine the coefficients to realize any (N+\alpha) fractional-order low-pass Butterworth response using transfer function forms based on the Inverse Follow the Leader Filter (IFLF) topology. This approach automates the process to create and assemble the required transfer function (based on user specified values) and then apply a numerical optimization to estimate the necessary coefficients to achieve the target filter magnitude response. MATLAB simulations of (2+\alpha) and (10+\alpha) order filters using the generalized approach validate the process. Further, an experimental 2.5-order low-pass filter is experimentally realized (using an approximated fractional-order capacitor) to validate the characteristics of a low-pass filter designed using this process.
ISSN:1558-058X
DOI:10.1109/SoutheastCon56624.2025.10971674