Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals

<p dir="ltr">This paper introduces Zoom TFD, a time-frequency decomposition (TFD) method designed for the high-resolution analysis of non-stationary signals, achieving optimal energy concentration, high time-frequency resolution, and inherent cross-term suppression. Traditional TFDs,...

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Main Author: Nisreen Said Amer (22503752) (author)
Other Authors: Samir Brahim Belhaouari (16855434) (author)
Published: 2025
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author Nisreen Said Amer (22503752)
author2 Samir Brahim Belhaouari (16855434)
author2_role author
author_facet Nisreen Said Amer (22503752)
Samir Brahim Belhaouari (16855434)
author_role author
dc.creator.none.fl_str_mv Nisreen Said Amer (22503752)
Samir Brahim Belhaouari (16855434)
dc.date.none.fl_str_mv 2025-06-03T06:00:00Z
dc.identifier.none.fl_str_mv 10.1109/access.2025.3574237
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Zooming_Into_Precision_The_Zoom_TFD_for_High-Resolution_Analysis_of_Non-Stationary_Signals/30455564
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
Resolution
non-stationary signals
adaptive Fourier transform
cross-term suppression
Heisenberg uncertainty
Boashash-Sucic performance metric
signal processing
Time-frequency analysis
Kernel
Signal resolution
Interference
Fourier transforms
Accuracy
Estimation
Energy resolution
Uncertainty
Frequency estimation
dc.title.none.fl_str_mv Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">This paper introduces Zoom TFD, a time-frequency decomposition (TFD) method designed for the high-resolution analysis of non-stationary signals, achieving optimal energy concentration, high time-frequency resolution, and inherent cross-term suppression. Traditional TFDs, such as the Wigner-Ville Distribution (WVD) and Choi-Williams Distribution (CWD), often struggle with resolution trade-offs and cross-term interference, while methods like Zhao-Atlas-Marks Distribution (ZAMD) attempt to mitigate these effects at the cost of higher computational complexity. Zoom TFD takes a different approach, integrating adaptive Fourier Transform windowing with a minimization-based spectral selection mechanism. This formulation enables the dynamic refinement of the time-frequency representation by selectively enhancing dominant spectral components while suppressing noise and unwanted harmonics, ensuring a more precise and focused analysis. The effectiveness of the Zoom TFD is assessed against ten leading state-of-the-art TFDs using the Boashash—Sucic Normalized Instantaneous Resolution and Heisenberg uncertainty performance measures. This evaluation is conducted across a variety of experimental and simulated signals, such as frequency-modulated chirps and multi-component signals. The results indicate that the Zoom Time-Frequency Distribution (TFD) consistently outperforms existing methods. It achieves the highest energy concentration and the lowest uncertainty, demonstrating its robustness for precise and interference-free time-frequency analysis. This work establishes the Zoom TFD as a powerful tool for signal analysis, setting a new benchmark for high-resolution time-frequency representation applications, ranging from biomedical engineering to communications.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/deed.en" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2025.3574237" target="_blank">https://dx.doi.org/10.1109/access.2025.3574237</a></p>
eu_rights_str_mv openAccess
id Manara2_c43a9880cb5918fd17ebf5d54cdf74ea
identifier_str_mv 10.1109/access.2025.3574237
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/30455564
publishDate 2025
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spelling Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary SignalsNisreen Said Amer (22503752)Samir Brahim Belhaouari (16855434)EngineeringBiomedical engineeringCommunications engineeringResolutionnon-stationary signalsadaptive Fourier transformcross-term suppressionHeisenberg uncertaintyBoashash-Sucic performance metricsignal processingTime-frequency analysisKernelSignal resolutionInterferenceFourier transformsAccuracyEstimationEnergy resolutionUncertaintyFrequency estimation<p dir="ltr">This paper introduces Zoom TFD, a time-frequency decomposition (TFD) method designed for the high-resolution analysis of non-stationary signals, achieving optimal energy concentration, high time-frequency resolution, and inherent cross-term suppression. Traditional TFDs, such as the Wigner-Ville Distribution (WVD) and Choi-Williams Distribution (CWD), often struggle with resolution trade-offs and cross-term interference, while methods like Zhao-Atlas-Marks Distribution (ZAMD) attempt to mitigate these effects at the cost of higher computational complexity. Zoom TFD takes a different approach, integrating adaptive Fourier Transform windowing with a minimization-based spectral selection mechanism. This formulation enables the dynamic refinement of the time-frequency representation by selectively enhancing dominant spectral components while suppressing noise and unwanted harmonics, ensuring a more precise and focused analysis. The effectiveness of the Zoom TFD is assessed against ten leading state-of-the-art TFDs using the Boashash—Sucic Normalized Instantaneous Resolution and Heisenberg uncertainty performance measures. This evaluation is conducted across a variety of experimental and simulated signals, such as frequency-modulated chirps and multi-component signals. The results indicate that the Zoom Time-Frequency Distribution (TFD) consistently outperforms existing methods. It achieves the highest energy concentration and the lowest uncertainty, demonstrating its robustness for precise and interference-free time-frequency analysis. This work establishes the Zoom TFD as a powerful tool for signal analysis, setting a new benchmark for high-resolution time-frequency representation applications, ranging from biomedical engineering to communications.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/deed.en" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2025.3574237" target="_blank">https://dx.doi.org/10.1109/access.2025.3574237</a></p>2025-06-03T06:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1109/access.2025.3574237https://figshare.com/articles/journal_contribution/Zooming_Into_Precision_The_Zoom_TFD_for_High-Resolution_Analysis_of_Non-Stationary_Signals/30455564CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/304555642025-06-03T06:00:00Z
spellingShingle Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
Nisreen Said Amer (22503752)
Engineering
Biomedical engineering
Communications engineering
Resolution
non-stationary signals
adaptive Fourier transform
cross-term suppression
Heisenberg uncertainty
Boashash-Sucic performance metric
signal processing
Time-frequency analysis
Kernel
Signal resolution
Interference
Fourier transforms
Accuracy
Estimation
Energy resolution
Uncertainty
Frequency estimation
status_str publishedVersion
title Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
title_full Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
title_fullStr Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
title_full_unstemmed Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
title_short Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
title_sort Zooming Into Precision: The Zoom TFD for High-Resolution Analysis of Non-Stationary Signals
topic Engineering
Biomedical engineering
Communications engineering
Resolution
non-stationary signals
adaptive Fourier transform
cross-term suppression
Heisenberg uncertainty
Boashash-Sucic performance metric
signal processing
Time-frequency analysis
Kernel
Signal resolution
Interference
Fourier transforms
Accuracy
Estimation
Energy resolution
Uncertainty
Frequency estimation