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### 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?
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### 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?
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### 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 ...
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1 vote
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### 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 ...
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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. $x(t)\rightarrow ... • 124 2 votes 2 answers 128 views ### Is downsampling LTI for bandlimited inputs? This question stems from the discussion we had on a previous question of mine. The point of contention is whether the downsampling operator is time invariant or not. Which gives us a new condition to ... • 1,573 0 votes 1 answer 511 views ### Inverting a scalogram A scalogram is said to discard phase information with modulus; is it still possible to recover the signal to some extent? Algorithms like Griffin-Lim can invert within an error, but what's the ... • 9,004 1 vote 2 answers 212 views ### How to objectively measure how "good" a time-frequency representation of music is? I've been studying the time-frequency uncertainty principle of Dennis Gabor, and the tradeoff of the STFT window size in representing the tonal and transient characteristics of the musical signal ... • 205 2 votes 1 answer 92 views ### Understanding stability in frame theory. Wavelets I'm trying to grasp some understanding of the concept of stability in the context of the frame theory. The definition of frame in ref1 states that a sequence of functions$\{ \phi_n \}_{n \in \Gamma}$... • 77 0 votes 1 answer 146 views ### Wavelet Scattering (Kymatio) Zero Divison Error I'm attempting to make use of wavelet scattering to analyse my signal samples. The example IQ Wav file I am using is as follows: https://www.dropbox.com/s/dd6fr4va4alpazj/... • 77 1 vote 1 answer 131 views ### Building the low pass filter in the wavelet scattering transform In 1, analyzing the equivalence between MFCC and wavelet transform, the scaled wavelets are truncated for$\lambda < 2\pi Q/T$to fit the time spread of the wavelets within the length$T$of the ... • 77 2 votes 1 answer 114 views ### Choosing a good low pass filter in the wavelet scattering transform What's the impact of a specific filter$\phi\$ when building the wavelet scattering transform? I mean, if I compute the MFCC choosing different windows, (Hamming, Blackman, etc.), the behaviour ...
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Is scattering equivariant to multiplicative time warps? Defined as $$x(t) \rightarrow x(\tau(t)t),\ \text{sup}|\tau'(t)| < 1$$ This post claims it holds approximately - what are the arguments, ...