Consider a band-limited signal that is sampled at a rate higher than the Nyquist rate. T...

Consider a band-limited signal that is sampled at a rate higher than the Nyquist rate. The samples, spaced T seconds apart, are then converted to a sequence x[n], as indicated in Figure P7.42.

Determine the relation between the energy of the sequence, the energy of the original signal, and the sampling interval T. The energy of a sequence x[n] is defined as

and the energy in a continuous-time function is defined as