But does sampling above the Nyquist rate guarantee phase reconstruction though? In a real world (not theoretical ideal) implementation of a reconstruction filter, what’s the phase reproduction ability the nearer you get to the Nyquist rate? I thought that there was no phase reconstruction guarantee by the Shannon reconstruction theorem, only frequency, and that there can be advantages to sampling rates higher than than Nyquist alone would suggest. Can anyone with more authority on this subject speak to this? It’s a bit fuzzy but I remember my DSP professor making that argument once and it always kind of stuck with me. It does make some intuitive sense, as you picture trying to reconstruct a sinusoid close to (but below) the Nyquist rate. It’s not hard to see how a reconstruction filter may get some odd results like incorrect amplitude, oscillating amplitude, or phase shift the closer you get.