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Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test

A novel signal denoising method is proposed whereby goodness-of-fit (GOF) test in combination with a majority classifications-based neighbourhood filtering is employed on complex wavelet coefficients obtained by applying dual tree complex wavelet transform (DT-CWT) on a noisy signal. The DT-CWT has...

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Detalles Bibliográficos
Autores principales: Naveed, Khuram, Shaukat, Bisma, ur Rehman, Naveed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6170581/
https://www.ncbi.nlm.nih.gov/pubmed/30839740
http://dx.doi.org/10.1098/rsos.180436
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author Naveed, Khuram
Shaukat, Bisma
ur Rehman, Naveed
author_facet Naveed, Khuram
Shaukat, Bisma
ur Rehman, Naveed
author_sort Naveed, Khuram
collection PubMed
description A novel signal denoising method is proposed whereby goodness-of-fit (GOF) test in combination with a majority classifications-based neighbourhood filtering is employed on complex wavelet coefficients obtained by applying dual tree complex wavelet transform (DT-CWT) on a noisy signal. The DT-CWT has proven to be a better tool for signal denoising as compared to the conventional discrete wavelet transform (DWT) owing to its approximate translation invariance. The proposed framework exploits statistical neighbourhood dependencies by performing the GOF test locally on the DT-CWT coefficients for their preliminary classification/detection as signal or noise. Next, a deterministic neighbourhood filtering approach based on majority noise classifications is employed to detect false classification of signal coefficients as noise (via the GOF test) which are subsequently restored. The proposed method shows competitive performance against the state of the art in signal denoising.
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spelling pubmed-61705812018-10-18 Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test Naveed, Khuram Shaukat, Bisma ur Rehman, Naveed R Soc Open Sci Engineering A novel signal denoising method is proposed whereby goodness-of-fit (GOF) test in combination with a majority classifications-based neighbourhood filtering is employed on complex wavelet coefficients obtained by applying dual tree complex wavelet transform (DT-CWT) on a noisy signal. The DT-CWT has proven to be a better tool for signal denoising as compared to the conventional discrete wavelet transform (DWT) owing to its approximate translation invariance. The proposed framework exploits statistical neighbourhood dependencies by performing the GOF test locally on the DT-CWT coefficients for their preliminary classification/detection as signal or noise. Next, a deterministic neighbourhood filtering approach based on majority noise classifications is employed to detect false classification of signal coefficients as noise (via the GOF test) which are subsequently restored. The proposed method shows competitive performance against the state of the art in signal denoising. The Royal Society Publishing 2018-09-19 /pmc/articles/PMC6170581/ /pubmed/30839740 http://dx.doi.org/10.1098/rsos.180436 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Engineering
Naveed, Khuram
Shaukat, Bisma
ur Rehman, Naveed
Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title_full Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title_fullStr Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title_full_unstemmed Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title_short Dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
title_sort dual tree complex wavelet transform-based signal denoising method exploiting neighbourhood dependencies and goodness-of-fit test
topic Engineering
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6170581/
https://www.ncbi.nlm.nih.gov/pubmed/30839740
http://dx.doi.org/10.1098/rsos.180436
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AT urrehmannaveed dualtreecomplexwavelettransformbasedsignaldenoisingmethodexploitingneighbourhooddependenciesandgoodnessoffittest