A principal component-based algorithm for denoising in single channel data (PCA for denoising in single channel data)
A denoising technique for single channel data is proposed. By assuming the observed signal to be the mixture of two unknown uncorrelated sources, an expression for the principal components (PC) of the set constituted by the signal and its k-sample delayed version is derived. The expression does not...
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| Published in: | Measurement : journal of the International Measurement Confederation Vol. 60; pp. 121 - 128 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.01.2015
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| ISSN: | 0263-2241, 1873-412X |
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| Abstract | A denoising technique for single channel data is proposed. By assuming the observed signal to be the mixture of two unknown uncorrelated sources, an expression for the principal components (PC) of the set constituted by the signal and its k-sample delayed version is derived. The expression does not require matrix manipulations and may be hence useful when both speed and memory usage are crucial. The second PC was found to be a suitable estimate of one of the sources. Illustrations are provided for a simulated voltage signal corrupted by harmonics and transient disturbances as well as for a real electromyographic signal with electrocardiographic interference. A comparison with a standard, wavelet-based method for denoising is also provided. |
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| AbstractList | A denoising technique for single channel data is proposed. By assuming the observed signal to be the mixture of two unknown uncorrelated sources, an expression for the principal components (PC) of the set constituted by the signal and its k-sample delayed version is derived. The expression does not require matrix manipulations and may be hence useful when both speed and memory usage are crucial. The second PC was found to be a suitable estimate of one of the sources. Illustrations are provided for a simulated voltage signal corrupted by harmonics and transient disturbances as well as for a real electromyographic signal with electrocardiographic interference. A comparison with a standard, wavelet-based method for denoising is also provided. |
| Author | de Seixas, José Manoel Costa Junior, José Dilermando Cerqueira, Augusto S. Miranda de Sá, Antonio Mauricio F.L. Ferreira, Danton Diego |
| Author_xml | – sequence: 1 givenname: Antonio Mauricio F.L. surname: Miranda de Sá fullname: Miranda de Sá, Antonio Mauricio F.L. email: amfls@peb.ufrj.br organization: Biomedical Engineering Program – COPPE, Federal University of Rio de Janeiro, RJ, Brazil – sequence: 2 givenname: José Manoel surname: de Seixas fullname: de Seixas, José Manoel email: seixas@lps.ufrj.br organization: Signal Processing Lab – COPPE/POLI, Federal University of Rio de Janeiro, RJ, Brazil – sequence: 3 givenname: José Dilermando surname: Costa Junior fullname: Costa Junior, José Dilermando email: dilermando@peb.ufrj.br organization: Biomedical Engineering Program – COPPE, Federal University of Rio de Janeiro, RJ, Brazil – sequence: 4 givenname: Danton Diego surname: Ferreira fullname: Ferreira, Danton Diego email: danton@deg.ufla.br organization: Engineering Department, Federal University of Lavras, MG, Brazil – sequence: 5 givenname: Augusto S. surname: Cerqueira fullname: Cerqueira, Augusto S. email: augusto.santiago@ufjf.edu.br organization: Electrical Engineering Program, Federal University of Juiz de Fora, MG, Brazil |
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| Cites_doi | 10.1016/j.neucom.2012.09.037 10.1214/10-AOS799 10.1016/j.jelekin.2007.10.004 10.1155/2007/56918 10.1002/etep.370 10.1016/j.measurement.2011.03.022 10.1109/TPWRD.2005.855444 10.1016/j.neulet.2009.06.063 10.1016/j.ijepes.2013.06.024 10.1109/TPWRD.2008.923463 10.1016/j.laa.2014.07.023 10.1016/j.sigpro.2007.01.011 10.1080/01621459.1989.10478751 10.1109/18.382009 10.1590/S0103-17592011000100004 |
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| SubjectTerms | Electrocardiography Electromyography Power quality Principal Component Analysis Single channel denoising |
| Title | A principal component-based algorithm for denoising in single channel data (PCA for denoising in single channel data) |
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