A question about normalization of morlet wavelet

[KareemShalabi]

Hello,

I just to want to express my appreciation for the amazing work you have done in this project. Truly the level of attention to details is astounding.
I have a question about the code for spectral analysis using Morlet wavelets.
I am seeing computing of the sine wave, as well the Gaussian envelope. I am guessing 'a' is the scaling factor, together with the normalization factor which is added for the wavelet to have a unit energy. I think you are using (1/sqrt(sigma)) as a normalization term which is a popular normalization scheme for morlet wavelets.

Having used this function, although the power spectrum matches what I got from other libraries graphically ( pycwt or matlab old-version toolbox), but the raw values don't seem to be normalized to the [0, 1] range. I am constantly getting values in the range of tens. Comparing both libraries, values align by a factor of 10 to the power of 3, which is oddly enough is the sampling frequency of the signals.

I am aware it is not relevant if you are doing a baseline normalization, but for multiple reasons, I am not able to do that in my current analysis. Can you point to the right direction?