Removing noise in biomedical signal recordings by singular value decomposition

Noise reduction or denoising is the process of removing noise from a signal. If some signal properties are known linear filtering is often useful. Fourier, wavelet and similar transform approaches remove unwanted signal components in the codomain. For this, predefined eigen-functions, e.g. wavelets,...

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Main Author: Schanze Thomas
Format: Article
Language:English
Published: De Gruyter 2017-09-01
Series:Current Directions in Biomedical Engineering
Subjects:
Online Access:https://doi.org/10.1515/cdbme-2017-0052
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author Schanze Thomas
author_facet Schanze Thomas
author_sort Schanze Thomas
collection DOAJ
description Noise reduction or denoising is the process of removing noise from a signal. If some signal properties are known linear filtering is often useful. Fourier, wavelet and similar transform approaches remove unwanted signal components in the codomain. For this, predefined eigen-functions, e.g. wavelets, are used. Here we use singular value decomposition in order to compute a signal driven re-presentation (eigendecompositon). By removing unwanted components of the representation the signal can be denoised. We introduce the new method, apply it to signals and discuss its properties.
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spelling doaj.art-a7cff31ef6834f32afb8e34520c0c1642023-04-11T17:07:13ZengDe GruyterCurrent Directions in Biomedical Engineering2364-55042017-09-013225325610.1515/cdbme-2017-0052cdbme-2017-0052Removing noise in biomedical signal recordings by singular value decompositionSchanze Thomas0Technische Hoch-schule Mittelhessen, Dept. Life Science Engineering, Wiesenstr. 14, D-35390 Gießen, GermanyNoise reduction or denoising is the process of removing noise from a signal. If some signal properties are known linear filtering is often useful. Fourier, wavelet and similar transform approaches remove unwanted signal components in the codomain. For this, predefined eigen-functions, e.g. wavelets, are used. Here we use singular value decomposition in order to compute a signal driven re-presentation (eigendecompositon). By removing unwanted components of the representation the signal can be denoised. We introduce the new method, apply it to signals and discuss its properties.https://doi.org/10.1515/cdbme-2017-0052signalsignal processingnoise reductiontransformationcomputationeigendecomposition
spellingShingle Schanze Thomas
Removing noise in biomedical signal recordings by singular value decomposition
Current Directions in Biomedical Engineering
signal
signal processing
noise reduction
transformation
computation
eigendecomposition
title Removing noise in biomedical signal recordings by singular value decomposition
title_full Removing noise in biomedical signal recordings by singular value decomposition
title_fullStr Removing noise in biomedical signal recordings by singular value decomposition
title_full_unstemmed Removing noise in biomedical signal recordings by singular value decomposition
title_short Removing noise in biomedical signal recordings by singular value decomposition
title_sort removing noise in biomedical signal recordings by singular value decomposition
topic signal
signal processing
noise reduction
transformation
computation
eigendecomposition
url https://doi.org/10.1515/cdbme-2017-0052
work_keys_str_mv AT schanzethomas removingnoiseinbiomedicalsignalrecordingsbysingularvaluedecomposition