I am trying to cross-correlate two functions, but one of which is changing each 'step' of the cross-correlation.
I want to cross-correlate T(f) and M(g(f)), where g(f) = A*B^((f-C)/D).
I understand that if the two functions are static, then a cross-correlation would simply be achieved by taking the fourier transform of both, multiplying them together, then inverse fourier transform.
However when one of the functions varies, I was thinking of using something similar to a Mellin transform, but I'm not sure what exactly.
Note: my functions are discrete, but any continuous formalisation should do for now.
