# Questions tagged [wavelets]

For questions related to wavelets and wavelet theory.

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### Pros/Cons to using Spectral and Diffusive Graph Wavelets

As I understand, there are two major methods of constructing wavelets on graphs. Spectral wavelets, from David K Hammond et. al, and diffusive wavelets from Coifman and Maggioni. I can't quite parse ...
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1 vote
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### Multidimensional signal synchronization

I am trying to find ways of synchronizing multidimensional waves gotten from the brain. For one dimensional signals, I used Cross correlation and was able to synchronise, but for multi dimensional ...
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### DFT but using non-sinusoidal periodic waveforms.

Is there an established way of decomposing a discrete periodic (complex) signal into a sum of non-sinusoidal periodic waveforms (eg square, triangle, and sawtooth)? For my use case the input waveform ...
1 vote
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### How to determine the integral limits of continuous wavelet transform?

Now I have one function $f(x)$, and its support interval is $x\in[T_0,T_1]$. The support interval of the mother wavelet $\psi(x)$ is $x\in[-\Delta,+\Delta]$. And we also know that the continuous ...
1 vote
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### Why V2 is not dense in L2(R)?

v2 contains all of constant Piecewise function having compact supports with possible break on rational points denominators of 4.
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### What is the orthonormal transform matrix of Daubechies 4 wavelet?

I read following paper : [2019, Emilie Chouzenoux, A Proximal Interior Point Algorithm with Applications to Image Processing]. problem The problem is constructed as Proximal interior point method, ...
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### What is the wavelet decomposition operator matrix?

I read following paper. [2019, Emilie Chouzenoux, A Proximal Interior Point Algorithm with Applications to Image Processing] Wavelet operator The problem is constructed as Proximal interior point ...
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### Wavelets vs Fourier Transforms

It's supposed that computing a spectrogram for a signal is faster using wavelets. However, wavelets need to be applied to the signal for every time step and frequency, giving the implementation a time ...
1 vote
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### Show that Haar-wavelet is a wavelet.

In my textbook for wavelets I found an example which shows that the Haar-Wavelet $H$ is indeed a wavelet. So I need to show \$0 < 2\pi \int_\mathbb{R} \frac{|\widehat{H}(\omega)|^2}{|\omega|} d\...