Wavelets Definition and 20 Threads

Hello, I recently got interested in wavelets. The main idea seems clear: we compute the inner product between the signal ##x(t)## and a chosen wavelet for different scale factors and translations of the wavelet over the signal. The inner product provides the coefficient for a wavelet with a...

Hello, I have a question about the blue waves coming from sources S1 and S2 in de next picture. The blue waves from sources S1 and S2, are those two resulting waves (interference of all wavelets, Huygens Principle) or are those blue waves two wavelets?

Hi folks, Huygens principle is not really new to me but I just realized there is something I don't understand with it. Take a single 1D slit with a coherent incident plane wave. It seems that the number of wavelets in the slits is ##n = l/\lambda##, where ##l## is the length of the slit, and...

Hi, I am having a little trouble understanding a minor step in a paper by [V. Zimin and F. Hussain][1]. They define a collection of divergence-free vector wavelets as $$\mathbf{v}_{N\nu n}(\mathbf{x}) = -\frac{9}{14}\rho^{1/2}_N...

Outdated Control Systems Engineer with a PhD in Industrial Preventive Maintenance, in training for a double major in Chemistry and Biology. Prefer to work the math, reason and deduct, infer, interpolate and extrapolate, yet a lot is presented to me as to be "simple memorization", so I have to...

I am a beginner. The Fourier series, Fourier Transform and it's inverse play very important role in Fourier Analysis and Fourier Synthesis. I have read that Fourier transform is localised in only frequency domain.Also,it contains information about the signal in phase and frequency spectrum...

I am engineering student and studying signal processing. The term Fourier transform comes in the discussion several times. There are many transforms like Laplace transform,Z transform,Wavelet transform.But as per my view ,Fourier transform is mostly used compared to others in general. My...

Hello everyone, I am a first year graduate student, wavelets is one of the courses that I am taking presently. As part of the course, I plan to explore application of wavelets in computational electromagnetics (CEM). The idea behind it is to study a few applications where wavelets are used in...

Hi, I'm looking for a good beginner text on Wavelets. Preferably an undergraduate or early graduate level. The background material that I'm missing most is infinite dimensional vector spaces/function spaces and Fourier analysis. Any advice would really be appreciated! Thanks!

Hi, I would like to know the technical approach that can be used to determine thses values: N Level As shown in the attachment: N=3 Level=6

Merzbacher - Quantum mechanics, second edition, chapter 1 page 4,writes: "A classically observable wave will result only if the elementary wavelets representing the individual quanta add coherently. " Is this analysis correct? The context is the following: We may read (1.3) [ë =...

Hi, I'm trying to grasp the concept of discrete wavelets and can't seem to find an answer to my question. In the decomposition of a signal using wavelets filter banks, the signal goes through a low pass and high pass filter. The output of the low pass and high pass is decimated by 2. I can...

Hi all, I have a question about Daubechies Wavelets. I've recently been trying to teach them to myself from the pdf here...

According to Wikipedia the formula for the field created by an aperture (the Kirchoff-Fresnel Integral) is: \Psi(r)\propto \int\!\!\!\int_\mathrm{aperture} E_{inc}(x',y')~ \frac{e^{ik | \bold r - \bold r'|}}{4 \pi | \bold r - \bold r' |} \,dx'\, dy'...

Hello, Does anyone know how to save the plots and some of the data results generated by the Matlab Wavelets Toolbox with the GUI?? I would like to save that along with all the statistical results from the GUI when performing "Multisignal Analysis 1-D" I am using Wavelets 4.4 and it not as...

Homework Statement Given the following p_k scaling coefficients and the following wavelet relations, find all four filters corresponding to these coefficients: low-pass decomposition, high-pass decomposition, low-pass reconstruction, and high-pass reconstruction.Homework Equations \phi (x)=...

Two friends and myself are going to start doing research with a professor of ours on Haar wavelet transforms. I was curious if there are any texts or any online resources which those of PF would recommend? So far the three of us have completed Engineering Calc I, but the professor feels...

I am new to wavelets. I was reading about wavelets and Fourier transforms. So the main disadvantage of Fourier Transform is that you cannot use it on a non-uniform signal. Even though you use it you have to use a window and select your region of interest. If the window is small enough you can...

Huygens' theory says that every point on a wavefront serves as a source of secondary wavelet. Doesn't that imply that if we consider any coherent source of light, and intercept its waves on a screen, we'll get a diffraction pattern, as all those secondary wavelets will interfere among themselves?

what are gabor wavelets? a basic synopsis would help... i don't know what section to put this post under, so i apologize for that..