# Questions tagged [synchrosqueezing]

Reassignment method for focusing time-frequency representations, summing contributions according (mainly, but not limited) to instantaneous frequency. Used for EMD-like component extraction per (amplitude & frequency) modulation model. Is invertible.

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### 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 ...
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### Why are wavelet transforms implemented in Python/Matlab often called Continuous wavelet transform when they take discrete-time input?

The implementations of Synchrosqueezing wavelet transform in Python (ssqueezepy) and MATLAB both write in their documentation that they implement the synchrosqueezing algorithm on the Continuous ...
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### Interpretation of wavelet trasformation (synchrosqueezing)

I'm working on a dataset of spectroscopies and i'm classifying them by transforming the 1D signal into a 2D one by the ssqueezepy library. For instance, consider to ...
467 views

### Synchrosqueezed STFT phase transform

Synchrosqueezed STFT paper, Synchrosqueezing based Recovery of Instantaneous Frequency from Nonuniform Samples, defines STFT phase transform as:  w(u, \xi) = \xi - \frac{\partial_tS_{g}f(u, \xi)}{j2\...
730 views

### Why does a synchrosqueezed wavelet transform show oscillating behavior?

This question came up in the context of the ssqueezepy library. As a basic experiment I did compute the synchrosqueezed wavelet transform of three basic signals: A ...
I don't understand the mapping time-scale plane to the time-frequency plane in synchrosqueezed wavelet transform, i.e. $(3)$. You can find the paper here. For the given signal of $x(t)$ and mother ...