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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society Publishing
2018
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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. |
format | Online Article Text |
id | pubmed-6170581 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | The Royal Society Publishing |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT naveedkhuram dualtreecomplexwavelettransformbasedsignaldenoisingmethodexploitingneighbourhooddependenciesandgoodnessoffittest AT shaukatbisma dualtreecomplexwavelettransformbasedsignaldenoisingmethodexploitingneighbourhooddependenciesandgoodnessoffittest AT urrehmannaveed dualtreecomplexwavelettransformbasedsignaldenoisingmethodexploitingneighbourhooddependenciesandgoodnessoffittest |