Request: scale weighted wavelets for cwt

[tjmier]

In the mass spectroscopy field where CWT is popular for peak identification, it has been found that applying a scale dependent weighting function to the wavelet function improves accuracy.
DOI: 10.1109/ACCESS.2022.3220640
https://doi.org/10.1080/00032719.2023.2266207

The weighting function applied in these papers is

g(a)=1/e^a
w'(t)=g(a)w(t)

where g(a) is the weighting function,
a is the scale parameter in the CWT,
w(t) is the original wavelet function,
w'(t) is the weighted wavelet function

Having an optional parameter in the pywt.cwt function for a weighting function is the request. Currently my alternative is to create a new wavelet for each scale value and run pywt.cwt in for loop. Alternatively, if including too much parameter bloat in pywt.cwt is a concern, a new function can be made separately pywt.wcwt (weighted cwt).

Thanks!

[tjmier]

quick correction.
I actually cannot find a way to customize a continuous wavelet object for cwt so I do have a work around for applying a weighting function. Any info on if I can implement this with the tools already available would be very much appreciated as well!