Nonlinear fractional-order circuits and systems: Motivation, a brief overview, and some future directions

MS Tavazoei, M Tavakoli-Kakhki… - IEEE Open Journal of …, 2020 - ieeexplore.ieee.org
In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

Power law filters: A new class of fractional-order filters without a fractional-order Laplacian operator

S Kapoulea, C Psychalinos, AS Elwakil - AEU-International Journal of …, 2021 - Elsevier
A new category of fractional-order filters, realized without employing a fractional-order
Laplacian operator is introduced in this work. This can be achieved through the utilization of …

[HTML][HTML] Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design

L Langhammer, J Dvorak, R Sotner, J Jerabek… - Journal of advanced …, 2020 - Elsevier
The paper discusses a new design of a current–mode reconnection–less reconfigurable
fractional–order (FO) low–pass filter of various orders. The filtering structure is based on a …

Optimal approximation of fractional-order Butterworth filter based on weighted sum of classical Butterworth filters

S Mahata, N Herencsar, D Kubanek - IEEE Access, 2021 - ieeexplore.ieee.org
In this paper, a new two-steps design strategy is introduced for the optimal rational
approximation of the fractional-order Butterworth filter. At first, the weighting factors of the …

Non-integer order generalized filters designs

J Nako, C Psychalinos, AS Elwakil, S Minaei - IEEE Access, 2023 - ieeexplore.ieee.org
Non-integer order filters can be derived from a generalized structure presented in this work.
More specifically, fractional-order and power-law filters of single-or double-order are special …

Design of higher-order fractional filters with fully controllable frequency characteristics

J Nako, C Psychalinos, AS Elwakil, D Jurisic - IEEE access, 2023 - ieeexplore.ieee.org
Higher-order fractional filters with fully controllable frequency characteristics are realized in
this work, after fitting the filter's magnitude response data using a minimum-phase state …

[HTML][HTML] Risk assessment of refinery unit maintenance based on fuzzy second generation curvelet neural network

B Zhao, H Chen, D Gao, L Xu - Alexandria Engineering Journal, 2020 - Elsevier
To ensure safety of maintenance of refinery unit and improve reliability of refinery unit, the
risk assessment model of refinery unit maintenance is established based on fuzzy second …

On the design of power law filters and their inverse counterparts

S Mahata, N Herencsar, D Kubanek - Fractal and Fractional, 2021 - mdpi.com
This paper presents the optimal modeling of Power Law Filters (PLFs) with the low-pass
(LP), high-pass (HP), band-pass (BP), and band-stop (BS) responses by means of rational …

Implementation and analysis of tunable fractional-order band-pass filter of order 2α

OI Ahmed, HM Yassin, LA Said, C Psychalinos… - … -International Journal of …, 2020 - Elsevier
This paper proposes a new design of a 2 α-order fractional-order band-pass filter with
tunability feature. The proposed filter is approximated with the Continued Fraction …

One active element implementation of fractional-order Butterworth and Chebyshev filters

J Nako, C Psychalinos, AS Elwakil - AEU-International Journal of …, 2023 - Elsevier
Fractional-order low-pass and high-pass Butterworth and Chebyshev filters with cut-off
frequencies determined independently of their order are approximated in this work. The …