Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design

Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design

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 4th–order leap–frog topology using operational transconductance amplifiers as basic building blocks. The resulting order...

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Bibliographic Details
Main Authors: Lukas Langhammer, Jan Dvorak, Roman Sotner, Jan Jerabek, Panagiotis Bertsias
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Journal of Advanced Research
Subjects:
Current–mode
Electronic control
Fractional–order
Frequency filter
Higher–order filter
Reconnection–less reconfiguration
Online Access:http://www.sciencedirect.com/science/article/pii/S2090123220301314
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spelling doaj-95aa1357d92a41aeb10551c59aee03972020-11-25T03:46:02ZengElsevierJournal of Advanced Research2090-12322020-09-0125257274Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order designLukas Langhammer0Jan Dvorak1Roman Sotner2Jan Jerabek3Panagiotis Bertsias4Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 61600 Brno, Czech Republic; Corresponding author.Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 61600 Brno, Czech RepublicFaculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 61600 Brno, Czech RepublicFaculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 61600 Brno, Czech RepublicDepartment of Physics, University of Patras, 265 04 Rio Patras, GreeceThe 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 4th–order leap–frog topology using operational transconductance amplifiers as basic building blocks. The resulting order of the filter is given by the setting of current gains (allowing the reconnection–less reconfiguration) alongside with the values of the fractional–order capacitors realized by the RC ladder networks. For this purpose, RC ladder networks of orders 0.3, 0.4, 0.5, 0.6 and 0.7 have been designed. The fractional–order form of the filter contains from one up to four FO capacitors (remaining capacitors (if there are any) are of integer–order) allowing to obtain low–pass functions of order of 3 + α, 2 + α, 1 + α, 2 + α + β, 1 + α + β, α + β, 1 + α + β + γ, α + β + γ and α + β + γ + δ. The proposed filter offers a wide variety of possible order combinations with an increasing degree of freedom as the number of fractional–order capacitors within the structure increases. The proposal is supported by the PSpice simulations of magnitude and phase characteristics, pole frequency adjustment and stability analysis. Moreover, the experimental measurements of the implemented filter were carried out and compared with the simulation results. The possibility of the electronic control of the fractional order is also discussed and presented.http://www.sciencedirect.com/science/article/pii/S2090123220301314Current–modeElectronic controlFractional–orderFrequency filterHigher–order filterReconnection–less reconfiguration
collection DOAJ
language English
format Article
sources DOAJ
author Lukas Langhammer
Jan Dvorak
Roman Sotner
Jan Jerabek
Panagiotis Bertsias
spellingShingle Lukas Langhammer
Jan Dvorak
Roman Sotner
Jan Jerabek
Panagiotis Bertsias
Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
Journal of Advanced Research
Current–mode
Electronic control
Fractional–order
Frequency filter
Higher–order filter
Reconnection–less reconfiguration
author_facet Lukas Langhammer
Jan Dvorak
Roman Sotner
Jan Jerabek
Panagiotis Bertsias
author_sort Lukas Langhammer
title Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
title_short Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
title_full Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
title_fullStr Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
title_full_unstemmed Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
title_sort reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design
publisher Elsevier
series Journal of Advanced Research
issn 2090-1232
publishDate 2020-09-01
description 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 4th–order leap–frog topology using operational transconductance amplifiers as basic building blocks. The resulting order of the filter is given by the setting of current gains (allowing the reconnection–less reconfiguration) alongside with the values of the fractional–order capacitors realized by the RC ladder networks. For this purpose, RC ladder networks of orders 0.3, 0.4, 0.5, 0.6 and 0.7 have been designed. The fractional–order form of the filter contains from one up to four FO capacitors (remaining capacitors (if there are any) are of integer–order) allowing to obtain low–pass functions of order of 3 + α, 2 + α, 1 + α, 2 + α + β, 1 + α + β, α + β, 1 + α + β + γ, α + β + γ and α + β + γ + δ. The proposed filter offers a wide variety of possible order combinations with an increasing degree of freedom as the number of fractional–order capacitors within the structure increases. The proposal is supported by the PSpice simulations of magnitude and phase characteristics, pole frequency adjustment and stability analysis. Moreover, the experimental measurements of the implemented filter were carried out and compared with the simulation results. The possibility of the electronic control of the fractional order is also discussed and presented.
topic Current–mode
Electronic control
Fractional–order
Frequency filter
Higher–order filter
Reconnection–less reconfiguration
url http://www.sciencedirect.com/science/article/pii/S2090123220301314
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AT jandvorak reconnectionlessreconfigurablelowpassfilteringtopologysuitableforhigherorderfractionalorderdesign
AT romansotner reconnectionlessreconfigurablelowpassfilteringtopologysuitableforhigherorderfractionalorderdesign
AT janjerabek reconnectionlessreconfigurablelowpassfilteringtopologysuitableforhigherorderfractionalorderdesign
AT panagiotisbertsias reconnectionlessreconfigurablelowpassfilteringtopologysuitableforhigherorderfractionalorderdesign
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