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Why is my implementation of the Haar wavelet not normalized?

You're slightly incorrect regarding your definition $||\psi(x)||_2 = 1$. The correct one is: $$||\psi(x)||^2_2 = \int |\psi(x)|^2dx = 1$$ Regardless, you're missing the step size $dx$: ...
Jdip's user avatar
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Debugging a Haar wavelet transform in the Fourier domain

Just adding to Matt's answer. You can see the aliasing in the time domain wave forms. The Haar wavelet has infinite bandwidth so you can't sample it without aliasing.
Hilmar's user avatar
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Debugging a Haar wavelet transform in the Fourier domain

The results are different because they represent different things. The first formula is the continuous Fourier transform of the continuous Haar wavelet (apart from a scaling factor). The second result ...
Matt L.'s user avatar
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