As I understand a "time series" is created for both x und y coordinates, then these are fourier transformed for the spectral components. Then when redrawing, on

As I understand a "time series" is created for both x und y coordinates, then these are fourier transformed for the spectral components. Then when redrawing, only the real parts are used. Is it necessary to do it for x and y separated? Couldn't you just take x for the real part and y for the imaginary part of the time series and do the Fourier transform on that? edit: monday morning typos.