I am looking to decompose a signal in terms of Bessel functions. I'm aware of Hankel transforms; however, for computational reasons, I have to use Fourier transforms. Essentially, my question is: after I perform the Fourier transform of the signal, how do I "translate" that into a Bessel expansion?
I also read that the Hankel transform of zeroth order is trivially related to a 2D FT. However, I understand that this is valid only for azimuthally symmetric functions, and my signal is not.