7.42. Consider a band-limited signal xc(t) that is sampled at a rate higher than the Nyquist rate. The samples, spaced T

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7 42 Consider A Band Limited Signal Xc T That Is Sampled At A Rate Higher Than The Nyquist Rate The Samples Spaced T 1 (84.47 KiB) Viewed 35 times

7.42. Consider a band-limited signal xc(t) 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. p(t) = 38(t-nT) nm-00 Xp(t) Xc(t) Conversion of impulse train to sequence x[n] = xc (NT) Figure P7.42 Determine the relation between the energy Ed of the sequence, the energy Ec of the original signal, and the sampling interval T. The energy of a sequence x[n] is defined as Ed = Σ |x[nl], ΣΙΝ n-00 and the energy in a continuous-time function xc(t) is defined as 00 Ec = - 1xc0f dt. -00