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...

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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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spelling 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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url https://repositorio.unal.edu.co/handle/unal/48471
http://bdigital.unal.edu.co/41887/
dc.language.iso.spa.fl_str_mv spa
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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
dc.rights.uri.spa.fl_str_mv 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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dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia Sede Medellín
institution Universidad Nacional de Colombia
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