From Lagrange to Shannon and Back: Another Look at Sampling

Classical digital signal processing tells us the tale of a continuous-time primeval signal, of its brutal sampling, and of the magic sinc interpolation that, under the aegis of bandlimitedness, brings the original signal back to (continuous) life. However, it is very interesting to switch the conventional viewpoint and cast discrete-time sequences in the lead role, with continuous-time signals entering the scene as a derived version of their gap-toothed archetypes.