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 …

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 …

New alternatives for analog implementation of fractional-order integrators, differentiators and PID controllers based on integer-order integrators

C Muñiz-Montero, LV García-Jiménez… - Nonlinear …, 2017 - Springer
In this work, we propose an alternative for the circuital realization of analog fractional-order
differentiators and integrators without using ladder networks. This alternative is obtained by …

Design of fractional-order Chebyshev low-pass filter for optimized magnitude response using metaheuristic evolutionary algorithms

R Daryani, B Aggarwal, M Gupta - Circuits, Systems, and Signal …, 2023 - Springer
The research work presented in this paper discusses the traditional methods of design of
fractional-order filters and their shortcomings and proposes a method of deriving the …

Synthesis and analysis of electronically adjustable fractional-order low-pass filter

J Dvorak, L Langhammer, J Jerabek… - Journal of Circuits …, 2018 - World Scientific
A proposal of a fractional (1+ α)-order low-pass filter is presented in this paper. The
proposed filter operates in the current-mode and it is designed using Multi-Output Current …

High-frequency capacitorless fractional-order CPE and FI emulator

P Bertsias, C Psychalinos, AG Radwan… - Circuits, Systems, and …, 2018 - Springer
A fractional-order capacitor and inductor emulator, implemented using MOS transistors,
instead of passive capacitors, is introduced in this paper. This is achieved using current …

Fully differential fifth-order dual-notch powerline interference filter oriented to EEG detection system with low pass feature

AA Alhammadi, SA Mahmoud - Microelectronics Journal, 2016 - Elsevier
This paper presents a fifth-order dual-notch low pass filter oriented to portable
Electroencephalogram (EEG) detection system. The proposed filter is based on active …

Capacitorless digitally programmable fractional-order filters

P Bertsias, F Khateb, D Kubanek, FA Khanday… - … -International Journal of …, 2017 - Elsevier
Novel topologies of fractional-order filters, implemented using the internal gate-source
capacitance of MOS transistors, are introduced in this paper. This has been achieved using …

Current-mode capacitorless integrators and differentiators for implementing emulators of fractional-order elements

P Bertsias, C Psychalinos, A Elwakil… - AEU-International Journal …, 2017 - Elsevier
Fractional-order capacitor and inductor emulator, implemented using current-mirrors as
active elements and MOS transistors as capacitors, is introduced in this paper. Current …

Design and optimisation of regression-type small phase shift FIR filters and FIR-based differentiators with optimal local response in LS-sense

M Sakow, K Marchelek - Mechanical Systems and Signal Processing, 2021 - Elsevier
The design of finite impulse response (FIR) filters and FIR-based differentiators is a popular
topic in the field of digital signal processing. FIR filters/differentiators are characterised by a …