Approximating Ideal Filters by Systems of Fractional Order

The contributions in this paper are in two folds. On the one hand, we propose a general approach for approximating ideal filters based on fractional calculus from the point of view of systems of fractional order. On the other hand, we suggest that the Paley and Wiener criterion might not be a necess...

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Detalles Bibliográficos
Autor principal: Li, Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2012
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3265070/
https://www.ncbi.nlm.nih.gov/pubmed/22291851
http://dx.doi.org/10.1155/2012/365054
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author Li, Ming
author_facet Li, Ming
author_sort Li, Ming
collection PubMed
description The contributions in this paper are in two folds. On the one hand, we propose a general approach for approximating ideal filters based on fractional calculus from the point of view of systems of fractional order. On the other hand, we suggest that the Paley and Wiener criterion might not be a necessary condition for designing physically realizable ideal filters. As an application of the present approach, we show a case in designing ideal filters for suppressing 50-Hz interference in electrocardiogram (ECG) signals.
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spelling pubmed-32650702012-01-30 Approximating Ideal Filters by Systems of Fractional Order Li, Ming Comput Math Methods Med Research Article The contributions in this paper are in two folds. On the one hand, we propose a general approach for approximating ideal filters based on fractional calculus from the point of view of systems of fractional order. On the other hand, we suggest that the Paley and Wiener criterion might not be a necessary condition for designing physically realizable ideal filters. As an application of the present approach, we show a case in designing ideal filters for suppressing 50-Hz interference in electrocardiogram (ECG) signals. Hindawi Publishing Corporation 2012 2012-01-16 /pmc/articles/PMC3265070/ /pubmed/22291851 http://dx.doi.org/10.1155/2012/365054 Text en Copyright © 2012 Ming Li. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Ming
Approximating Ideal Filters by Systems of Fractional Order
title Approximating Ideal Filters by Systems of Fractional Order
title_full Approximating Ideal Filters by Systems of Fractional Order
title_fullStr Approximating Ideal Filters by Systems of Fractional Order
title_full_unstemmed Approximating Ideal Filters by Systems of Fractional Order
title_short Approximating Ideal Filters by Systems of Fractional Order
title_sort approximating ideal filters by systems of fractional order
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3265070/
https://www.ncbi.nlm.nih.gov/pubmed/22291851
http://dx.doi.org/10.1155/2012/365054
work_keys_str_mv AT liming approximatingidealfiltersbysystemsoffractionalorder

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