A principal component-based algorithm for denoising in single channel data (PCA for denoising in single channel data)

• Published in: Measurement : journal of the International Measurement Confederation Vol. 60; pp. 121 - 128
• Main Authors: Miranda de Sá, Antonio Mauricio F.L., de Seixas, José Manoel, Costa Junior, José Dilermando, Ferreira, Danton Diego, Cerqueira, Augusto S.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-01-2015
• Subjects: Electrocardiography; Electromyography; Power quality; Principal Component Analysis; Single channel denoising; Electrocardiography; Single channel denoising; Electromyography; Power quality; Principal Component Analysis
• ISSN: 0263-2241; 1873-412X
• DOI: 10.1016/j.measurement.2014.09.079

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.