Linked Questions

23 votes
2 answers
12k views

Synchrosqueezing Wavelet Transform explanation?

How does Synchrosqueezing Wavelet Transform work, intuitively? What does the "synchrosqueezed" part do, and how is it different from simply the (continuous) Wavelet Transform?
• 8,984
12 votes
1 answer
7k views

Wavelet Scattering explanation?

How does Wavelet Scattering work, intuitively? What are its motivations, and how's it differ from the (continuous) Wavelet Transform? Can it be visualized?
• 8,984
11 votes
4 answers
5k views

What's the difference between the Gabor-Morlet wavelet transform and the constant-Q transform?

At a glance, the constant-Q fourier transform and the complex Gabor-Morlet wavelet transform seem the same. Both are time-frequency representations, based on constant-Q filters, windowed sinusoids, ...
• 15.8k
4 votes
6 answers
587 views

• 8,984
0 votes
1 answer
343 views

Inverse continuous wavelet transform, how to obtain fluctuations at a given scale with ssqueezepy?

How can I obtain the fluctuations of a timeseries at a specific scale using the ssqueezepy library for inverse continuous wavelet transform (ICWT)? I have a minimum reproducible example that uses the ...
• 189
1 vote
1 answer
229 views

What do computed CWT frequencies and color values correspond to?

I wanted to make wavelet transform and represent the frequencies as function of time instead of the scale of the wavelet as function of time. This example that uses ...
• 55
1 vote
2 answers
209 views

How to objectively measure how "good" a time-frequency representation of music is?

I've been studying the time-frequency uncertainty principle of Dennis Gabor, and the tradeoff of the STFT window size in representing the tonal and transient characteristics of the musical signal ...
• 205
0 votes
2 answers
165 views

• 124
1 vote
0 answers
90 views

What are frequencies in a scaleogram generated using pywavelet?

I am using PyWavelet to do continous wavelet transform of a 1D signal. The pywavelet continous wavelet transform function works with this line of code: ...
• 55
2 votes
1 answer
68 views

Can finite Multi-Resolution Analysis satisfy the Littlewood-Paley Criterion (unity partition)?

Suppose we are working with a multi resolution analysis (MRA) of $L^2(\mathbb{R})$ and let $\phi$ be the corresponding scaling function and $\psi$ the derived wavelets. Using standard notation with \$\...
0 votes
0 answers
43 views

Integrating CWT around nominal frequency with amplitude and phase

I have a real signal f sampled at 96Hz composed of clusters of harmonics scattered tigthly around evenly central frequencies close to 1Hz and 2Hz (multiples of 0.966Hz) that I'll call features. These ...
• 131