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 …

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 …

[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 …

A 1 + α Order Generalized Butterworth Filter Structure and Its Field Programmable Analog Array Implementation

J Nako, C Psychalinos, AS Elwakil - Electronics, 2023 - mdpi.com
Fractional-order Butterworth filters of order 1+ α (0< α< 1) can be implemented by a unified
structure, using the method presented in this paper. The main offered benefit is that the cutoff …

Fractional-order band-pass filter design using fractional-characteristic specimen functions

D Kubanek, T Freeborn, J Koton - Microelectronics Journal, 2019 - Elsevier
Abstract Two (α+ β)-order transfer functions realizing fractional-order band-pass filter
responses are presented and analysed, where 0< α≤ 1 and 0< β≤ 1. Generalizing the …

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 …

Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters

D Kubanek, TJ Freeborn, J Koton, J Dvorak - Applied Sciences, 2018 - mdpi.com
In this paper, fractional-order transfer functions to approximate the passband and stopband
ripple characteristics of a second-order elliptic lowpass filter are designed and validated …

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 …

Approximation of fractional‐order low‐pass filter

S Mahata, SK Saha, R Kar, D Mandal - IET Signal Processing, 2019 - Wiley Online Library
Optimal integer‐order transfer function approximations to model the single fractance
element‐based fractional‐order low‐pass filter (FLF) for any arbitrary order α, where, 0< α< …

Evaluation of (1+ α) fractional-order approximated Butterworth high-pass and band-pass filter transfer functions

D Kubanek, T Freeborn, J Koton… - Elektronika ir …, 2018 - eejournal.ktu.lt
This paper summarizes multiple cases of high-pass (HP) and band-pass (BP) analogue filter
transfer functions with fractional order 1<(1+ α)< 2. All HP and BP transfer functions are …