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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Molecular Diversity Preservation International (MDPI)
2013
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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. |
format | Online Article Text |
id | pubmed-3892854 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Molecular Diversity Preservation International (MDPI) |
record_format | MEDLINE/PubMed |
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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