Suppose we sample the analog signal x(t) = e^?2t u(t), using a sample period T_s = 1

(a)?Expressing the sampled signal as x(nT_s) = x[n] = ?ⁿ u[n], what is the corresponding value of ?? Use stemto plot x[n].

(b)?Show that x[n] is absolutely summable, i.e., show the following sum is finite

(c) If you know that x[n] is absolutely summable, could you say that x[n] is a finite energy signal? Use the function stem to plot ?x[n]?and x²[n] in the same plot to help you decide.

(d)?In general, for what values of ?are signals y[n] = ?ⁿ u[n] finite energy? Explain.

Transcribed Image Text:

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