Linked Questions

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
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, ...
endolith's user avatar
  • 15.8k
8 votes
4 answers
2k views

Advantage of STFT over wavelet transform

I have learned about STFT and wavelet transform recently, and wavelet transform seems better than STFT in my opinion. So, I wonder if there is any advantage of using STFT than WT, and if so, what are ...
lemoncake's user avatar
  • 103
6 votes
1 answer
2k views

Wavelet Scattering properties & implementation?

What are the properties of the scattering transform, besides shift invariance and warp stability? How is it implemented in practice, and how can one visualize its computational graph?
OverLordGoldDragon's user avatar
2 votes
3 answers
792 views

Why does spectrum magnitude decay away from DC for positive signals?

I would like to understand why the second frequency component usually has the greater magnitude within the range [1, (N/2)], i.e why (I remove the DC component and ...
Franck Might's user avatar
6 votes
3 answers
1k views

Role of window length and overlap in uncertainty principle?

I am trying to predict epilepsy using spectrograms and a convolutional neural network. So far I have achieved a validation accuracy of 86% which i feel like is pretty good. Lots of the papers doing ...
niklas Munkholm Hjort's user avatar
2 votes
2 answers
1k views

Wavelet "center frequency" explanation? Relation to CWT scales?

I noticed that there are many ways to relate the scale factor of wavelets to some characteristic frequency, such as the peak frequency, the central instantaneous frequency, and so on(plz see section 2....
Wang Yun's user avatar
  • 124
3 votes
3 answers
245 views

Resource recommendations to learn audio processing

I'm looking for some good resources to learn audio processing for a machine learning task based on classification of users as either 'COVID-19 positive' or 'COVID-19 negative' based on their cough ...
Anonymous's user avatar
1 vote
2 answers
1k views

Reconstructing Audio From Spectrogram (Using it as a filter)

Given a spectrogram calculated using the following code: ...
rshah's user avatar
  • 77
2 votes
1 answer
922 views

Joint Time-Frequency Scattering explanation?

How does JTFS work, intuitively? What are its motivations, and how's it differ from the Wavelet (time) Scattering transform? Can it be visualized?
OverLordGoldDragon's user avatar
3 votes
1 answer
335 views

Why does a signal with constant frequency have spots that changes colors at a specific value of scale (and so frequency) in the scalogram?

I am studying the Wavelet transform and I am considering this example that I took from PyWavelets documentation. The signal in time domain has the following shape: Till the value of zero on the ...
User's user avatar
  • 55
1 vote
3 answers
328 views

Increasing STFT resolution by repeating the window? Ways to improve STFT resolution?

In theory of FT(Fourier transform) and STFT(Short Time Fourier Transform) it is said that "A narrower window gives good ...
google dev's user avatar
3 votes
3 answers
492 views

Effect of overlapping percentage on STFT output

I know STFT is generally applied to non-stationary signals but I tried to apply it to a stationary signal to get a working knowledge. I created a stationary signal composed of three frequencies as ...
Lobster3221's user avatar
2 votes
1 answer
1k views

Log Mel Spectrogram vs Log Mel Power Spectrogram

I'm doing some feature extraction on audio signals. $M$ being a mel filterbank matrix, and $S$ being the spectrogram (extracted from the Short Time Fourier Transform of my audio signal), we can ...
Jdip's user avatar
  • 6,055
2 votes
2 answers
338 views

What is the importance of the translational invariance of the CWT?

Translational invariance is a property that the continuous wavelet transform (CWT) has but the discrete wavelet transform (DWT) does not have. It says that a shift of the signal, i.e. $x(t)\rightarrow ...
Wang Yun's user avatar
  • 124

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