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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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Synchrosqueezing of frequency-wavenumber spectrum

I am bigenner to signal processing. I am working on improving frequency-wavenumber spetrum obtained from multisensors sound data. I read about Synchrosqueezing as a technique widely used to compensate ...
Engineer's user avatar
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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 ...
Eli S's user avatar
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3 votes
1 answer
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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 ...
Roy Phillips's user avatar
2 votes
2 answers
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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 ...
PiEmmeC's user avatar
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2 votes
2 answers
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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\...
OverLordGoldDragon's user avatar
2 votes
2 answers
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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 ...
bluenote10's user avatar
23 votes
2 answers
11k 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?
OverLordGoldDragon's user avatar
4 votes
1 answer
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How to Map CWT to Synchrosqueezed wavelet transform?

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 ...
SAH's user avatar
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