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Optimized fractional low and highpass filters of (1 + α) order on FPAA

Singh N., Mehta U., Kothari K., Cirrincione M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2020

Vol. 68, nr 3

635--644

This work proposes an optimum design and implementation of fractional-order Butterworth filter of order (1 + α), with the help of analog reconfigurable field-programmable analog array (FPAA). The designed filter coefficients are obtained after dual constraint optimization to balance the tradeoffs between magnitude error and stability margin together. The resulting filter ensures better robustness with less sensitivity to parameter variation and minimum least square error (LSE) in magnitude responses, passband and stopband errors as well as a better –3 dB normalized frequency approximation at 1 rad/s and a stability margin. Finally, experimental results have shown both lowpass and highpass fractional step values. The FPAA-configured outputs represent the possibility to implement the real-time fractional filter behavior with close approximation to the theoretical design.

Comparative analysis of dynamic properties of parametric and fractional-order filters

Jakubowska-Ciszek Agnieszka, Piwowar Anna

Poznan University of Technology Academic Journals. Electrical Engineering

2019

No. 97

133--142

The paper presents transmission models of a parametric filter with non-periodically variable parameters and a fractional-order filter. The responses of these filters on a unit step excitation have been examined as well as the dependence of filters time responses on their parameters. The obtained results have been illustrated by examples.