Uncertainty and information in physiological signals: explicit physical trade-off with log-normal wavelets
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | ARGOUL, Françoise | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | GUILLET, Alexandre | |
| dc.date.accessioned | 2023-11-20T16:46:21Z | |
| dc.date.available | 2023-11-20T16:46:21Z | |
| dc.date.created | 2023-10-23 | |
| dc.date.issued | 2023-10-26 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/184992 | |
| dc.description.abstractEn | Physiological recordings contain a great deal of information about the underlying dynamics of life. The practical statistical treatment of these single-trial measurements is often hampered by the inadequacy of overly strong assumptions. Heisenberg's uncertainty principle allows for more parsimony, trading off statistical significance for localization. By decomposing signals into time-frequency atoms and recomposing them into local and flexible estimators, we propose a concise and expressive implementation of these fundamental concepts based on the choice of a geometric paradigm and two physical parameters. Starting from the spectrogram based on two fixed timescales and Gabor normal window, we then build its scale-invariant analogue, the scalogram based on two quality factors and Grossmann log-normal wavelet. These canonical estimators provide a minimal and flexible framework for single trial time-frequency statistics, which we apply to polysomnographic signals: EEG representations, coherence and mutual information between ECG-derived heart rate and respiration, and their spurious statistics. | |
| dc.language.iso | en | |
| dc.subject.en | Time-frequency analysis | |
| dc.subject.en | Log-normal wavelet | |
| dc.subject.en | Uncertainty principle | |
| dc.subject.en | Polysomnography | |
| dc.subject.en | Physiological signals | |
| dc.subject.en | Coherence | |
| dc.subject.en | Statistical significance | |
| dc.subject.en | Mutual information | |
| dc.subject.en | Single trial time-frequency statistics | |
| dc.title.en | Uncertainty and information in physiological signals: explicit physical trade-off with log-normal wavelets | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Physique [physics] | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Médecine humaine et pathologie/Physiologie [q-bio.TO] | |
| bordeaux.hal.laboratories | Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04260114 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04260114v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-10-26&rft.au=ARGOUL,%20Fran%C3%A7oise&GUILLET,%20Alexandre&rft.genre=preprint |
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