How to Understand Generation of Dirac Weighted Combs in Signal Sampling Operation?

Abstract

This letter shows that the description of signal sampling operation that uses a weighted Dirac comb plays only a supporting role. It must be supplemented with a relation that transfers this description into the world of ordinary functions. In this case, these will be the weighted step functions. It is shown that the description mentioned, together with the complementary relation, form a joint model of the signal sampling operation. To achieve this, an idea of a Schrödinger's cat locked in a black box, which opens at sampling instants, was used.