What is the correct way plot the wavelet mother function for image decomposition? Should it be in terms of the scaling function and wavelet function or in terms of filter coefficients?
This is what I would try (based on my limited understanding of wavelets) ....
1) generate the frequency response of the filter by taking the DTFT of the discrete (FIR) filter coefficients. The frequency response will be continuous but finite (over -Pi +Pi).
2) then take the IDTFT of the frequency response. That should give you a continuous function that interpolates your filter coefficients.
is that the mother wavelet that you are looking for?
Alternatively, if you know the continuous form of your father scaling function, could you just apply your filter to it to get the mother wavelet function?
When the coefficients of the scaling or wavelet functions are available then by adding a new wavelet to MATLAB with these coefficients, you can easily plot both scaling and wavelet functions using standard function available in MATLAB. Just search adding our own wavelet in MATLAB search or online, you can get the required functions.
Check this.
https://elcvia.cvc.uab.es/article/view/v18-n1-sunkara
Anyone here interested in Wavelets?
Follow my dissertation about PCBs Fast Wavelet Transform.
Please, download and read it!
Link:
http://repositorio.unicamp.br/jspui/bitstream/REPOSIP/338849/1/Bonello_DanielKatz_M.pdf
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