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To define the continuous wavelet transform in Mathematica, you need Fourier factor and Fourier transform. I don't understand how to find these two, for example, how can define these two in the haar wavelet transform:

f[x_] := Piecewise[{{1, 0 <= x <= 1}}]
g[x_] := f[2 x] - f[2 x - 1])

and these two are defined for f[x_] or g[x_]?

creidhne
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Emad Ebrahimi
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  • Is it not a duplication of https://mathematica.stackexchange.com/questions/108963/how-to-define-a-new-wavelet-type ? – user64494 Oct 12 '23 at 09:55
  • I saw the page you mentioned, but I don't understand how it defines Fourier transform and Fourier factor so that I can define these two for continuous wavelet transform, for example Morlet or shannon. – Emad Ebrahimi Oct 14 '23 at 11:02

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