\((N + \alpha)\)-order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response

DOI10.1515/FCA-2021-0030zbMath1498.93221OpenAlexW3192110564MaRDI QIDQ2046084

Jaroslav Koton, David Kubanek, Darius Andriukaitis, Jan Jerabek

Publication date: 17 August 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2021-0030

zbMATH Keywords

transfer functionfractional-orderanalogue filterButterworth responsenon-cascade filter synthesis

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Synthesis problems (93B50) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractional ordinary differential equations (34A08)

Cites Work

• On the stability of linear systems with fractional-order elements
• On the practical realization of higher-order filters with fractional stepping
• Approximated fractional order Chebyshev lowpass filters
• A new collection of real world applications of fractional calculus in science and engineering
• Fractional-order Modeling and Control of Dynamic Systems

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