Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising

<p>Time-frequency analysis plays a critical role in characterizing non-stationary signals such as electrocardiograms (ECG), where both spectral and temporal details are paramount. In this study, we introduce Dual Dynamic Kernel Filtering (2DKF) for time-frequency decomposition, emphasizing how...

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Main Author: Skander Bensegueni (21797279) (author)
Other Authors: Samir Brahim Belhaouari (16855434) (author), Yunis Carreon Kahalan (21797282) (author)
Published: 2025
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author Skander Bensegueni (21797279)
author2 Samir Brahim Belhaouari (16855434)
Yunis Carreon Kahalan (21797282)
author2_role author
author
author_facet Skander Bensegueni (21797279)
Samir Brahim Belhaouari (16855434)
Yunis Carreon Kahalan (21797282)
author_role author
dc.creator.none.fl_str_mv Skander Bensegueni (21797279)
Samir Brahim Belhaouari (16855434)
Yunis Carreon Kahalan (21797282)
dc.date.none.fl_str_mv 2025-06-19T15:00:00Z
dc.identifier.none.fl_str_mv 10.1016/j.dsp.2025.105407
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Dual_dynamic_kernel_filtering_Accurate_time-frequency_representation_reconstruction_and_denoising/29655395
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Engineering
Biomedical engineering
Communications engineering
Information and computing sciences
Machine learning
Dual dynamic kernel filtering (2DKF)
Time-frequency decomposition (TFD)
Signal reconstruction
Noise filtering
dc.title.none.fl_str_mv Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p>Time-frequency analysis plays a critical role in characterizing non-stationary signals such as electrocardiograms (ECG), where both spectral and temporal details are paramount. In this study, we introduce Dual Dynamic Kernel Filtering (2DKF) for time-frequency decomposition, emphasizing how kernel selection influences signal representation, reconstruction accuracy, and overall filtering performance. To overcome the limitations associated with signal-dependent single-kernel methods, we propose an innovative Dual hybrid kernel strategy that adaptively integrates multiple kernel functions to capture a wide array of signal characteristics. This approach significantly improves temporal alignment via Dynamic Time Warping (DTW), robustly preserves signal distributions as evidenced by quantile-quantile (QQ) plot analyses, and maintains high frequency fidelity during the filtering process. Extensive experimental comparisons against traditional discrete wavelet transform (DWT) and S-transform filtering, conducted under varying noise conditions, including synthetic noisy ECG with white noise, colored noise (brown and pink), and naturally noisy ECG, demonstrate that our dual hybrid kernel method substantially enhances robustness and consistency in signal reconstruction. Furthermore, we compare our approach with Recursive Multikernel Filtering (RMKF) technique for a benchmark nonlinear signal corrupted by structured noise, alongside wavelet and S-transform techniques. Evaluation metrics, including normalized mean square error (nMSE), root mean square error (RMSE) and correlation coefficients, confirm the superior performance of the proposed approach. These promising results underscore the potential of our method as a powerful tool for the time-frequency analysis of non-stationary signals, with significant implications for advanced ECG signal processing and other biomedical applications.</p><h2>Other Information</h2> <p> Published in: Digital Signal Processing<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.dsp.2025.105407" target="_blank">https://dx.doi.org/10.1016/j.dsp.2025.105407</a></p>
eu_rights_str_mv openAccess
id Manara2_f1a0280e39a5b208bd04cf8b372d19da
identifier_str_mv 10.1016/j.dsp.2025.105407
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/29655395
publishDate 2025
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
rights_invalid_str_mv CC BY 4.0
spelling Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoisingSkander Bensegueni (21797279)Samir Brahim Belhaouari (16855434)Yunis Carreon Kahalan (21797282)EngineeringBiomedical engineeringCommunications engineeringInformation and computing sciencesMachine learningDual dynamic kernel filtering (2DKF)Time-frequency decomposition (TFD)Signal reconstructionNoise filtering<p>Time-frequency analysis plays a critical role in characterizing non-stationary signals such as electrocardiograms (ECG), where both spectral and temporal details are paramount. In this study, we introduce Dual Dynamic Kernel Filtering (2DKF) for time-frequency decomposition, emphasizing how kernel selection influences signal representation, reconstruction accuracy, and overall filtering performance. To overcome the limitations associated with signal-dependent single-kernel methods, we propose an innovative Dual hybrid kernel strategy that adaptively integrates multiple kernel functions to capture a wide array of signal characteristics. This approach significantly improves temporal alignment via Dynamic Time Warping (DTW), robustly preserves signal distributions as evidenced by quantile-quantile (QQ) plot analyses, and maintains high frequency fidelity during the filtering process. Extensive experimental comparisons against traditional discrete wavelet transform (DWT) and S-transform filtering, conducted under varying noise conditions, including synthetic noisy ECG with white noise, colored noise (brown and pink), and naturally noisy ECG, demonstrate that our dual hybrid kernel method substantially enhances robustness and consistency in signal reconstruction. Furthermore, we compare our approach with Recursive Multikernel Filtering (RMKF) technique for a benchmark nonlinear signal corrupted by structured noise, alongside wavelet and S-transform techniques. Evaluation metrics, including normalized mean square error (nMSE), root mean square error (RMSE) and correlation coefficients, confirm the superior performance of the proposed approach. These promising results underscore the potential of our method as a powerful tool for the time-frequency analysis of non-stationary signals, with significant implications for advanced ECG signal processing and other biomedical applications.</p><h2>Other Information</h2> <p> Published in: Digital Signal Processing<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.dsp.2025.105407" target="_blank">https://dx.doi.org/10.1016/j.dsp.2025.105407</a></p>2025-06-19T15:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.dsp.2025.105407https://figshare.com/articles/journal_contribution/Dual_dynamic_kernel_filtering_Accurate_time-frequency_representation_reconstruction_and_denoising/29655395CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/296553952025-06-19T15:00:00Z
spellingShingle Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
Skander Bensegueni (21797279)
Engineering
Biomedical engineering
Communications engineering
Information and computing sciences
Machine learning
Dual dynamic kernel filtering (2DKF)
Time-frequency decomposition (TFD)
Signal reconstruction
Noise filtering
status_str publishedVersion
title Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
title_full Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
title_fullStr Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
title_full_unstemmed Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
title_short Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
title_sort Dual dynamic kernel filtering: Accurate time-frequency representation, reconstruction, and denoising
topic Engineering
Biomedical engineering
Communications engineering
Information and computing sciences
Machine learning
Dual dynamic kernel filtering (2DKF)
Time-frequency decomposition (TFD)
Signal reconstruction
Noise filtering