Problem

In the system shown in Figure 4.15, hc(t) = δ(t − T/2). (a) Suppose the input x[n]...

In the system shown in Figure 4.15, hc(t) = δ(t T/2).

(a) Suppose the input x[n] = sin(πn/2) and T = 10. Find y[n].

(b) Suppose you use the same x[n] as in part (a), but halve T to be 5. Find the resulting y[n].

(c) In general, how does the continuous-time LTI system hc(t) limit the range of the sampling period T that can be used without changing y[n]?

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