3 ms·
90 degree rotation? That would imply that the fourier transform is orthogonal to the original function.
by meindnoch 3y ago
90 degree rotation? That would imply that the fourier transform is orthogonal to the original function.
- nicwilson 3y agoIt is, because wavenumber and position are distinct variables and are orthogonal to each other. FT turn position into wavenumber (positional frequency) and wavenumber into negative position: [ 0 1] [x] [ ω] = [-1 0] [ω] [-x] see also https://en.wikipedia.org/wiki/Linear_canonical_transformation#Fourier_transform https://en.wikipedia.org/wiki/Linear_canonical_transformatio... the rotation matrix [[ 0 1], [-1 0]] is a 90 degree rotation.
- meindnoch 3y agoOk, now I see it!