Well, now I gotta write a MATLAB program to show this. It’s kinda cool. Give it a day.
UPDATE: It’s gonna take me a little longer. My MATLAB chops are rustier than I first thought. Representing signals having different sample rates in MATLAB is a pain in arse. But my plan is a nice pic showing how the true peak of an amplitude-limited digital signal can shoot up a few dB using nearly ideal interpolation.