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Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors

Fractional calculus is considered when derivatives and integrals of non-integer order are applied over a specific function. In the electrical and electronic domain, the transfer function dependence of a fractional filter not only by the filter order n, but additionally, of the fractional order α is...

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Autores principales: Arias, Sergio Iván Ravello, Muñoz, Diego Ramírez, Moreno, Jaime Sánchez, Cardoso, Susana, Ferreira, Ricardo, de Freitas, Paulo Jorge Peixeiro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Molecular Diversity Preservation International (MDPI) 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3892854/
https://www.ncbi.nlm.nih.gov/pubmed/24351648
http://dx.doi.org/10.3390/s131217516
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author Arias, Sergio Iván Ravello
Muñoz, Diego Ramírez
Moreno, Jaime Sánchez
Cardoso, Susana
Ferreira, Ricardo
de Freitas, Paulo Jorge Peixeiro
author_facet Arias, Sergio Iván Ravello
Muñoz, Diego Ramírez
Moreno, Jaime Sánchez
Cardoso, Susana
Ferreira, Ricardo
de Freitas, Paulo Jorge Peixeiro
author_sort Arias, Sergio Iván Ravello
collection PubMed
description Fractional calculus is considered when derivatives and integrals of non-integer order are applied over a specific function. In the electrical and electronic domain, the transfer function dependence of a fractional filter not only by the filter order n, but additionally, of the fractional order α is an example of a great number of systems where its input-output behavior could be more exactly modeled by a fractional behavior. Following this aim, the present work shows the experimental ac large-signal frequency response of a family of electrical current sensors based in different spintronic conduction mechanisms. Using an ac characterization set-up the sensor transimpedance function Z(t)(if) is obtained considering it as the relationship between sensor output voltage and input sensing current, [Formula: see text]. The study has been extended to various magnetoresistance sensors based in different technologies like anisotropic magnetoresistance (AMR), giant magnetoresistance (GMR), spin-valve (GMR-SV) and tunnel magnetoresistance (TMR). The resulting modeling shows two predominant behaviors, the low-pass and the inverse low-pass with fractional index different from the classical integer response. The TMR technology with internal magnetization offers the best dynamic and sensitivity properties opening the way to develop actual industrial applications.
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spelling pubmed-38928542014-01-16 Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors Arias, Sergio Iván Ravello Muñoz, Diego Ramírez Moreno, Jaime Sánchez Cardoso, Susana Ferreira, Ricardo de Freitas, Paulo Jorge Peixeiro Sensors (Basel) Article Fractional calculus is considered when derivatives and integrals of non-integer order are applied over a specific function. In the electrical and electronic domain, the transfer function dependence of a fractional filter not only by the filter order n, but additionally, of the fractional order α is an example of a great number of systems where its input-output behavior could be more exactly modeled by a fractional behavior. Following this aim, the present work shows the experimental ac large-signal frequency response of a family of electrical current sensors based in different spintronic conduction mechanisms. Using an ac characterization set-up the sensor transimpedance function Z(t)(if) is obtained considering it as the relationship between sensor output voltage and input sensing current, [Formula: see text]. The study has been extended to various magnetoresistance sensors based in different technologies like anisotropic magnetoresistance (AMR), giant magnetoresistance (GMR), spin-valve (GMR-SV) and tunnel magnetoresistance (TMR). The resulting modeling shows two predominant behaviors, the low-pass and the inverse low-pass with fractional index different from the classical integer response. The TMR technology with internal magnetization offers the best dynamic and sensitivity properties opening the way to develop actual industrial applications. Molecular Diversity Preservation International (MDPI) 2013-12-17 /pmc/articles/PMC3892854/ /pubmed/24351648 http://dx.doi.org/10.3390/s131217516 Text en © 2013 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Arias, Sergio Iván Ravello
Muñoz, Diego Ramírez
Moreno, Jaime Sánchez
Cardoso, Susana
Ferreira, Ricardo
de Freitas, Paulo Jorge Peixeiro
Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title_full Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title_fullStr Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title_full_unstemmed Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title_short Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors
title_sort fractional modeling of the ac large-signal frequency response in magnetoresistive current sensors
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3892854/
https://www.ncbi.nlm.nih.gov/pubmed/24351648
http://dx.doi.org/10.3390/s131217516
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