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Well, actually, a fourier transform HAS to be able to detect them all...

It is, after all, a lossless transform on any physically realizable signal (except perhaps things like black holes, white holes, and other things that might need renormalization).

Given that, any error in the time waveform WILL show up in the frequency analysis in some fashion.

It may be hard to recognize if you don't know what to look for, but it MUST show up.

Now, the distortion you're talking about... Could you be a bit more specific? You're talking about losses that are not linear with signal?


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