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Approximation of fractional-order low-pass filter.
- Source :
- IET Signal Processing (Wiley-Blackwell); 2019, Vol. 13 Issue 1, p112-124, 13p
- Publication Year :
- 2019
-
Abstract
- Optimal integer-order transfer function approximations to model the single fractance element-based fractional-order low-pass filter (FLF) for any arbitrary order α, where, 0 < α < 1, is proposed here. First of all, the integer-order filter coefficients for FLFs, with α varying from 0.01 to 0.99 in steps of 0.01, are directly obtained by using a metaheuristic algorithm called colliding bodies optimisation. For practical usability, the approximated FLF coefficients are explicitly provided in the form of analytical equations by employing a curve fitting on the optimised coefficients in the second step. The proposed approach provides a simpler design procedure in comparison to the reported literature which approximates the FLF by substituting an integer-order rational approximation of the s<superscript>α</superscript> operator in the transfer function of the ideal FLF. Simulations confirm the superior modelling accuracy of the proposed design over the recent literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17519675
- Volume :
- 13
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IET Signal Processing (Wiley-Blackwell)
- Publication Type :
- Academic Journal
- Accession number :
- 134819744
- Full Text :
- https://doi.org/10.1049/iet-spr.2018.5128