Fractional-order circuits and systems: An emerging interdisciplinary research area

AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …

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 design of fractional order low pass Butterworth filter with accurate magnitude response

S Mahata, SK Saha, R Kar, D Mandal - Digital Signal Processing, 2018 - Elsevier
Abstract The design of (1+ α) order, 0< α< 1, low pass Butterworth filter approximated in
terms of an integer order continuous-time transfer function using a nature-inspired …

Comparison of Fractional-Order Transfer Functions to Approximate Lowpass Butterworth Magnitude Responses

TJ Freeborn - Circuits, Systems, and Signal Processing, 2016 - Springer
Three fractional-order transfer functions are analyzed for differences in realizing (1+ α 1+ α)
order lowpass filters approximating a traditional Butterworth magnitude response. These …

Fractional‐order electronically controlled generalized filters

G Tsirimokou, C Psychalinos… - International Journal of …, 2017 - Wiley Online Library
Novel topologies of fractional‐order generalized filters are introduced in this paper. These
offer the following benefits:(1) realization of lowpass, highpass, bandpass, allpass, or …

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 …

Approximated fractional-order inverse Chebyshev lowpass filters

TJ Freeborn, AS Elwakil, B Maundy - Circuits, Systems, and Signal …, 2016 - Springer
In this paper we use a least-squares fitting routine to approximate the stopband ripple
characteristics of fractional-order inverse Chebyshev lowpass filters which have fractional …

A design example of a fractional-order Kerwin–Huelsman–Newcomb biquad filter with two fractional capacitors of different order

MC Tripathy, K Biswas, S Sen - Circuits, Systems, and Signal Processing, 2013 - Springer
Abstract Design, realization and performance studies of continuous-time fractional order
Kerwin–Huelsman–Newcomb (KHN) biquad filters have been presented. The filters are …

Extending the concept of analog Butterworth filter for fractional order systems

A Acharya, S Das, I Pan, S Das - Signal processing, 2014 - Elsevier
This paper proposes the design of fractional order (FO) Butterworth filter in complex w-plane
(w= sq; q being any real number) considering the presence of under-damped, hyper …