definition of bump wavelet and analytic Morlet wavelet

In wsst(wavelet synchrosqueezed transform) function we can specifiy the wavelet type as bump(bump wavelet) and amor(analytic Morlet wavelet) I know the definition of Morlet wavelet. As for these two type of wavelet, I failed to find the definition after web search and textbook such as "A Wavelet Tour of Signal Processing". May you so kind to help me to get some reference about them>

Answer 1

[Walter Roberson]

https://www.mathworks.com/help/wavelet/ref/cwtft.html#buu64ch bump wavelet defined

https://www.mathworks.com/help/wavelet/ref/cwtft.html#buu64ih-2 morlet wavelet defined

[Selva]

Dear sir, The given definition for bump wavelet is in frequency domain. But i want time domain expression to use in my custom made CWT function. Please help me in this regard.

[Faisal Sani Bala]

I am working on an imaging system, where I have a stack of images whose source of illumination is a sinusoidally varying source. Thus for any pixel p(x,y,t) in the image series , there is a sinusoidally varying intensity (starting from the first image to the last image and tracing a single pixel location). However the intensity is not stationary and also has harmonic contents. How may I get the component of each harmonic from the pixel location using wavelet transform?

[Walter Roberson]

Are the images all the same except for the illumination being different?

[Faisal Sani Bala]

Yes, the images are the same, but having varying levels of illumination

[Walter Roberson]

If you were to arrange all of the data into a 3D array, and convert to double precision (either through double() or im2double()) then...

Ummm, I would tend to think in terms of taking an fft and looking for strong peaks to see the harmonics. Which is not what you asked for, as you asked how to do the analysis using wavelets. Unfortunately I have no experience in how to extract useful information from wavelets.

[Faisal Sani Bala]

Okay, thank you, let me crack my head a little and I will come back here

[Jnh Zhu]

dear sir, the page you gave is no longer available, could you give the definition of Morse wavelet, Morlet wavelet and Bump wavelet in frequency domain again?

[Walter Roberson]

https://www.mathworks.com/help/wavelet/ref/cwt.html#d124e12132

[Jnh Zhu]

Wow, thank you, sir, it's very helpful! God bless you.