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If the time-domain data is the original data, no amount
of Fourier transforms or other math will ever create more
information. There will be no "loaves and fishes" miracle
where you create more just by rearranging things. The
second law of thermodynamics forbids it.
So all we are talking about here are various heuristics for
_interpolating_ between points in the time domain.
Interpolation is easy if you know the original signal was
band-limited before it was sampled ... i.e. no aliasing.