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

Authors

  • David Kubanek
  • Todd Freeborn
  • Jaroslav Koton
  • Norbert Herencsar

DOI:

https://doi.org/10.5755/j01.eie.24.2.20634

Keywords:

Active filters, Butterworth approximation, Fractional calculus, Fractional-order filters, Transfer functions.

Abstract

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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Published

2018-04-20

How to Cite

Kubanek, D., Freeborn, T., Koton, J., & Herencsar, N. (2018). Evaluation of (1 + α) Fractional-Order Approximated Butterworth High-Pass and Band-Pass Filter Transfer Functions. Elektronika Ir Elektrotechnika, 24(2), 37-41. https://doi.org/10.5755/j01.eie.24.2.20634

Issue

Vol. 24 No. 2 (2018)

Section

ELECTRONICS

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