Transformées en ondelettes continues

CWT 1D et 2D, CWT 1D inverse, banc de filtres CWT 1D et spectre croisé et cohérence en ondelettes

Obtenez la transformée en ondelettes continue (CWT) d’un signal ou d’une image, construisez des approximations de signal avec la CWT inverse, comparez les caractéristiques communes variant dans le temps de deux signaux avec la cohérence en ondelettes, visualisez les filtres passe-bande en ondelettes et obtenez des représentations temps-fréquence haute résolution avec le synchrosqueezing par ondelettes.

Fonctions

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Analyse 1D

`cwt`	Continuous 1-D wavelet transform
`icwt`	Inverse continuous 1-D wavelet transform
`cwtfilterbank`	Continuous wavelet transform filter bank
`cwtmag2sig`	Signal reconstruction from CWT magnitude (depuis R2023b)
`wt`	Continuous wavelet transform with filter bank
`freqz`	CWT filter bank frequency responses
`timeSpectrum`	Time-averaged wavelet spectrum (depuis R2020b)
`scaleSpectrum`	Scale-averaged wavelet spectrum (depuis R2020b)
`cwtfreqbounds`	CWT maximum and minimum frequency or period
`wcoherence`	Wavelet coherence and cross-spectrum
`wsst`	Wavelet synchrosqueezed transform
`iwsst`	Inverse wavelet synchrosqueezed transform
`wsstridge`	Time-frequency ridges from wavelet synchrosqueezing
`wtmm`	Wavelet transform modulus maxima

Analyse 2D

`cwtft2`	2-D continuous wavelet transform
`cwtftinfo2`	Supported 2-D CWT wavelets and Fourier transforms

Applications

Wavelet Image Analyzer	Decompose and visualize images (depuis R2023a)
Wavelet Time-Frequency Analyzer	Visualize scalogram of signals (depuis R2022a)

Rubriques

Applications

Using Wavelet Image Analyzer App
Visualize discrete and continuous wavelet decompositions of images.
Using Wavelet Time-Frequency Analyzer App
Learn how to use to visualize scalograms of 1-D signals and recreate results in your workspace.
Viewing CWT Decomposition of Image in Wavelet Image Analyzer
Learn how to use Wavelet Image Analyzer to visualize a CWT decomposition of an image and recreate the analysis in your workspace.

Analyse et synthèse CWT 1D

Analyse continue par ondelettes
Effectuer une analyse temps-fréquence avec la transformée en ondelettes continue.
Continuous Wavelet Analysis of Modulated Signals
This example shows how to use the continuous wavelet transform (CWT) to analyze modulated signals.
Continuous Wavelet Analysis of Cusp Signal
Understand the differences between wavelet transform modulus maxima and the CWT of a cusp signal.
Transformée en ondelettes continue inverse
Comprendre les mathématiques de la transformée en ondelettes continue inverse.
Boundary Effects and the Cone of Influence
Learn about the cone of influence and how it represents regions of significant boundary effects.
Morse Wavelets
Learn about the generalized Morse family of analytic wavelets.

Analyse CWT 2D

Two-Dimensional CWT of Noisy Pattern
This example shows how to detect a pattern in a noisy image using the 2-D continuous wavelet transform (CWT).
2-D Continuous Wavelet Transform
Learn about the 2-D Continuous Wavelet Transform.

Coefficients d’ondelettes, échelles et synchrosqueezing

Transformée en ondelettes continue et analyse à l'échelle
En savoir plus sur la transformée en ondelettes continue et la relation entre les fréquences et les échelles.
Transformée en ondelettes continue comme filtre passe-bande
Comprendre la transformée en ondelettes continue comme un filtrage passe-bande.
Synchrosqueezing des ondelettes
Technique de réaffectation temps-fréquence pour l'analyse des signaux à modes oscillants.

Exemples présentés

Relative Velocity Changes in Seismic Waves Using Time-Frequency Analysis

Learn how to use wavelet coherence and the wavelet cross spectrum to characterize frequency-dependent delays in nonstationary signals.

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Time-Frequency Reassignment and Mode Extraction with Synchrosqueezing

Use wavelet synchrosqueezing to obtain a higher resolution time-frequency analysis. The example also shows how to extract and reconstruct oscillatory modes in a signal.

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Frequency- and Time-Localized Reconstruction from the Continuous Wavelet Transform

Reconstruct a frequency-localized approximation of Kobe earthquake data. Extract information from the CWT for frequencies in the range of [0.030, 0.070] Hz.

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Continuous and Discrete Wavelet Analysis of Frequency Break

The difference between the discrete wavelet transform (DWT) and the continuous wavelet transform (CWT).

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Wavelet Analysis of Financial Data

Use wavelets to analyze financial data.

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Wavelet Analysis of Physiologic Signals

Use wavelets to analyze physiologic signals.

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