Practical realization of tunable fractional order parallel resonator and fractional order filters

A Adhikary, S Sen, K Biswas - IEEE Transactions on Circuits …, 2016 - ieeexplore.ieee.org
This paper introduces a tunable fractional order parallel resonator (FOPR) whose resonating
frequency can be tuned by the coefficient of a fractional order (FO) element (fractor). At the …

Realization of fractional order elements

A Adhikary, M Khanra, J Pal, K Biswas - Inae Letters, 2017 - Springer
Fractional order (FO) element (FOE) is the building block for realization of FO systems, an
important research domain. However, the realization of FO system is still a challenge. Till …

A systematic procedure for deriving RC networks of fractional-order elements emulators using MATLAB

G Tsirimokou - AEU-International Journal of Electronics and …, 2017 - Elsevier
The behavior of a fractional-order capacitors can be approximated using appropriately
configured RC networks, which implement an integer-order impedance/admittance function …

Fractional calculus in electronic circuits: a review

A Tapadar, FA Khanday, S Sen, A Adhikary - Fractional Order Systems, 2022 - Elsevier
Fractional-order (FO) systems offer a unique flexibility of arbitrary slope matching in system
gain which is not possible in conventional circuit theory. This has made application of …

On the optimization of fractional order low-pass filters

LA Said, SM Ismail, AG Radwan, AH Madian… - Circuits, Systems, and …, 2016 - Springer
This paper presents three different optimization cases for normalized fractional order low-
pass filters (LPFs) with numerical, circuit and experimental results. A multi-objective …

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 …

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 …

[HTML][HTML] An effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method

M Koseoglu, FN Deniz, BB Alagoz, H Alisoy - Engineering Science and …, 2022 - Elsevier
There is a growing interest in fractional calculus and Fractional Order (FO) system modeling
in many fields of science and engineering. Utilization of FO models in real-world …