Evaluation of (1 + α) Fractional-Order Approximated Butterworth High-Pass and Band-Pass Filter Transfer Functions

Autor: David Kubanek, Todd Freeborn, Jaroslav Koton, Norbert Herencsar
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Elektronika ir Elektrotechnika, Vol 24, Iss 2, Pp 37-41 (2018)
Druh dokumentu: article
ISSN: 1392-1215
2029-5731
DOI: 10.5755/j01.eie.24.2.20634
Popis: This paper summarizes multiple cases of high-pass (HP) and band-pass (BP) analogue filter transfer functions with fractional order 1 < (1 + α) < 2. All HP and BP transfer functions are evaluated against the magnitude characteristics of ideal Butterworth responses when coefficients previously determined to approximate fractional-order (FO) Butterworth low-pass (LP) transfer functions are utilized. Comparisons of the simulated FO HP and BP responses against the ideal Butterworth responses are presented, with a least squares error analysis applied to determine the transfer functions that best approximate the Butterworth response for both HP and BP FO filters. DOI: http://dx.doi.org/10.5755/j01.eie.24.2.20634
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