Multiscale analysis by means of discrete mollification for ecg noise reduction
Multiscale analysis and computation is a rapidly evolving area of research that have had a fundamental impact on computational science and applied mathematics and have influenced the way we view the relation between mathematics and science. Even though multiscale problems have been longly studied in...
- Autores:
-
Pulgarín-Giraldo, Juan
Acosta Medina, Carlos
Castellanos Domínguez, Germán
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2009
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/48471
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/48471
http://bdigital.unal.edu.co/41887/
- Palabra clave:
- 62 Ingeniería y operaciones afines / Engineering
ECG
GCV
multiscale analysis
mollification
non-white noise
regularization
thresholding.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Pulgarín-Giraldo, Juan325a2067-2064-45ae-8d60-0ebb6898004d300Acosta Medina, Carlosbafe3fad-eff2-448c-b05c-35f5c6b5ea2b300Castellanos Domínguez, Germánff52d7c8-eec7-4dca-bce8-b3a7876023403002019-06-29T07:46:44Z2019-06-29T07:46:44Z2009https://repositorio.unal.edu.co/handle/unal/48471http://bdigital.unal.edu.co/41887/Multiscale analysis and computation is a rapidly evolving area of research that have had a fundamental impact on computational science and applied mathematics and have influenced the way we view the relation between mathematics and science. Even though multiscale problems have been longly studied in mathematics, such techniques suffer of the ill-posedness nature of the problem. In the solution of several ill-posed problems, discrete mollification has been used for regularization. In this paper, we propose a new technique (procedure) for multiscale analysis by using discrete mollification. The multiscale scheme is based on numerical linear algebra results combined with the mollification method applied to the Mallat algorithm. The new technique has a simple theory, an efficient implementation and compares fairly well with classical wavelet transform procedures. An application on electrocardiographic signals contaminated with typical non-white noise is considered.text/htmlspaUniversidad Nacional de Colombia Sede Medellínhttp://revistas.unal.edu.co/index.php/dyna/article/view/13054Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaDyna; Vol. 76, núm. 159 (2009); 185-191 DYNA; Vol. 76, núm. 159 (2009); 185-191 2346-2183 0012-7353Pulgarín-Giraldo, Juan and Acosta Medina, Carlos and Castellanos Domínguez, Germán (2009) Multiscale analysis by means of discrete mollification for ecg noise reduction. Dyna; Vol. 76, núm. 159 (2009); 185-191 DYNA; Vol. 76, núm. 159 (2009); 185-191 2346-2183 0012-7353 .62 Ingeniería y operaciones afines / EngineeringECGGCVmultiscale analysismollificationnon-white noiseregularizationthresholding.Multiscale analysis by means of discrete mollification for ecg noise reductionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL13054-36158-1-PB.htmtext/html38368https://repositorio.unal.edu.co/bitstream/unal/48471/1/13054-36158-1-PB.htmcf46bfcb25bbbcbbd0b485a76d051c87MD5113054-36274-1-PB.pdfapplication/pdf1108985https://repositorio.unal.edu.co/bitstream/unal/48471/2/13054-36274-1-PB.pdfb1c292c70c8252e1ea4d307388a5bae4MD52THUMBNAIL13054-36274-1-PB.pdf.jpg13054-36274-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8128https://repositorio.unal.edu.co/bitstream/unal/48471/3/13054-36274-1-PB.pdf.jpg53c8b0f5f39ed116111b737594dbced5MD53unal/48471oai:repositorio.unal.edu.co:unal/484712023-11-03 23:07:25.055Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
title |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
spellingShingle |
Multiscale analysis by means of discrete mollification for ecg noise reduction 62 Ingeniería y operaciones afines / Engineering ECG GCV multiscale analysis mollification non-white noise regularization thresholding. |
title_short |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
title_full |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
title_fullStr |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
title_full_unstemmed |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
title_sort |
Multiscale analysis by means of discrete mollification for ecg noise reduction |
dc.creator.fl_str_mv |
Pulgarín-Giraldo, Juan Acosta Medina, Carlos Castellanos Domínguez, Germán |
dc.contributor.author.spa.fl_str_mv |
Pulgarín-Giraldo, Juan Acosta Medina, Carlos Castellanos Domínguez, Germán |
dc.subject.ddc.spa.fl_str_mv |
62 Ingeniería y operaciones afines / Engineering |
topic |
62 Ingeniería y operaciones afines / Engineering ECG GCV multiscale analysis mollification non-white noise regularization thresholding. |
dc.subject.proposal.spa.fl_str_mv |
ECG GCV multiscale analysis mollification non-white noise regularization thresholding. |
description |
Multiscale analysis and computation is a rapidly evolving area of research that have had a fundamental impact on computational science and applied mathematics and have influenced the way we view the relation between mathematics and science. Even though multiscale problems have been longly studied in mathematics, such techniques suffer of the ill-posedness nature of the problem. In the solution of several ill-posed problems, discrete mollification has been used for regularization. In this paper, we propose a new technique (procedure) for multiscale analysis by using discrete mollification. The multiscale scheme is based on numerical linear algebra results combined with the mollification method applied to the Mallat algorithm. The new technique has a simple theory, an efficient implementation and compares fairly well with classical wavelet transform procedures. An application on electrocardiographic signals contaminated with typical non-white noise is considered. |
publishDate |
2009 |
dc.date.issued.spa.fl_str_mv |
2009 |
dc.date.accessioned.spa.fl_str_mv |
2019-06-29T07:46:44Z |
dc.date.available.spa.fl_str_mv |
2019-06-29T07:46:44Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/48471 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/41887/ |
url |
https://repositorio.unal.edu.co/handle/unal/48471 http://bdigital.unal.edu.co/41887/ |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/dyna/article/view/13054 |
dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Dyna Dyna |
dc.relation.ispartofseries.none.fl_str_mv |
Dyna; Vol. 76, núm. 159 (2009); 185-191 DYNA; Vol. 76, núm. 159 (2009); 185-191 2346-2183 0012-7353 |
dc.relation.references.spa.fl_str_mv |
Pulgarín-Giraldo, Juan and Acosta Medina, Carlos and Castellanos Domínguez, Germán (2009) Multiscale analysis by means of discrete mollification for ecg noise reduction. Dyna; Vol. 76, núm. 159 (2009); 185-191 DYNA; Vol. 76, núm. 159 (2009); 185-191 2346-2183 0012-7353 . |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
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text/html |
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Universidad Nacional de Colombia Sede Medellín |
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Universidad Nacional de Colombia |
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