Add option to use weights in the forward spherical Fourier transforms

It would be extremely beneficial to be able to add weights to the forward discrete spherical Fourier transforms (both “normal” and least-squares). The implementation is supposedly quite simple as shown below.

1. Normal DSFT: fnm = Yn’ * W * f
2. Least-Squares DSFT: (Yn’ * W * Yn)\(Yn’ * W * f)

where Yn are the spherical harmonics, W is a diagonal matrix of appropriate dimensions with the weights on the main diagonal and f is the spherical function to be transformed (the sampled sound field in most - if not all - cases).

added Feature Field::Wave Language::Matlab/Octave Priority::Low labels

changed title from Add option to use weights in the spherical Fourier transforms to Add option to use weights in the forward spherical Fourier transforms

By Achilles Kappis on 2024-05-27T20:18:23