# Morlet wavelet: DFT vs Fourier Transform

I find what seem to be contradictions between the two. "Morlet" defined here, and its Fourier Transform (FT) below it.

• DFT's imaginary component zeroes with large N, but real part still doesn't turn into a bell
• $$\mathcal{F}(\text{Morlet})$$ seems to be the magnitude of the FT, but off in amplitude.

Code: Python -- MATLAB/Octave