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 survey of single and multi-component Fractional-Order Elements (FOEs) and their applications

ZM Shah, MY Kathjoo, FA Khanday, K Biswas… - Microelectronics …, 2019 - Elsevier
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …

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 …

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 …

Optimal design for realizing a grounded fractional order inductor using GIC

A Adhikary, S Choudhary, S Sen - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper addresses the issue of the optimal design of a grounded fractional order inductor
using a generalized impedance converter. The nonidealities of the op amps have been …

Design and performance study of dynamic fractors in any of the four quadrants

A Adhikary, P Sen, S Sen, K Biswas - Circuits, Systems, and Signal …, 2016 - Springer
A fractor is a simple fractional-order system. Its transfer function is 1/Fs^ α 1/F s α; the
coefficient, F, is called the fractance, and α α is called the exponent of the fractor. This paper …

Reconfigurable fractional-order filter with electronically controllable slope of attenuation, pole frequency and type of approximation

J Jerabek, R Sotner, J Dvorak, J Polak… - Journal of Circuits …, 2017 - World Scientific
This paper presents design of electronically reconfigurable fractional-order filter that is able
to be configured to operate as fractional-order low-pass filter (FLPF) or fractional-order high …

Realization of foster structure-based ladder fractor with phase band specification

A Adhikary, A Shil, K Biswas - Circuits, Systems, and Signal Processing, 2020 - Springer
This paper presents Foster I and Foster II realizations of fractors using RC ladders while
meeting five different specifications together, ie, exponent, coefficients, upper and lower …

Experimental verification of on‐chip CMOS fractional‐order capacitor emulators

G Tsirimokou, C Psychalinos, AS Elwakil… - Electronics …, 2016 - Wiley Online Library
The experimental results from a fabricated integrated circuit of fractional‐order capacitor
emulators are reported. The chip contains emulators of capacitors of orders 0.3, 0.4, 0.5, 0.6 …

Generalized two-port network based fractional order filters

NA Khalil, LA Said, AG Radwan, AM Soliman - AEU-International Journal of …, 2019 - Elsevier
This paper proposes a general prototype fractional order filter based on a two-port network
concept with four external impedances. Three induced classifications from the general …