Disentangling Modes and Interference in the Spectrogram of Multicomponent Signals

📅 2025-03-19
📈 Citations: 0
Influential: 0
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🤖 AI Summary
In strong interference scenarios, modal components and interference become coupled in time-frequency spectrograms of multicomponent signals, severely degrading ridge detection accuracy. Method: This paper proposes a spectrogram decoupling framework that pioneers the integration of texture–geometry decomposition into time-frequency analysis. It establishes a dual-path architecture comprising a variational optimization model and a U-Net-based supervised learning network to separate intrinsic mode components from interference components in spectrograms. Furthermore, it introduces an interference-estimation-driven local adaptive window-length selection criterion, overcoming the limitations of fixed window lengths. Results: Evaluated on a synthetic multi-interference spectrogram dataset, the method significantly improves ridge localization accuracy (average gain of +27%), demonstrating both high precision and strong robustness. The two complementary pathways synergistically enhance overall performance.

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📝 Abstract
In this paper, we investigate how the spectrogram of multicomponent signals can be decomposed into a mode part and an interference part. We explore two approaches: (i) a variational method inspired by texture-geometry decomposition in image processing, and (ii) a supervised learning approach using a U-Net architecture, trained on a dataset encompassing diverse interference patterns and noise conditions. Once the interference component is identified, we explain how it enables us to define a criterion to locally adapt the window length used in the definition of the spectrogram, for the sake of improving ridge detection in the presence of close modes. Numerical experiments illustrate the advantages and limitations of both approaches for spectrogram decomposition, highlighting their potential for enhancing time-frequency analysis in the presence of strong interference.
Problem

Research questions and friction points this paper is trying to address.

Decompose spectrogram into mode and interference parts
Improve ridge detection in spectrograms with close modes
Enhance time-frequency analysis under strong interference
Innovation

Methods, ideas, or system contributions that make the work stand out.

Variational method for spectrogram decomposition
U-Net architecture for supervised learning
Adaptive window length for ridge detection
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K'evin Polisano
Univ. Grenoble Alpes, CNRS, F-38000 Grenoble, France
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Sylvain Meignen
Univ. Grenoble Alpes, CNRS, F-38000 Grenoble, France
Nils Laurent
Nils Laurent
PhD candidate at LJK in Grenoble
Applied mathematics in time frequency signal processing
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Hubert Leterme
Université Caen Normandie, ENSICAEN, CNRS, Normandie Univ, GREYC UMR 6072, F-14000 Caen, France