Suppose we sample the analog signal x(t) = e ?2t u(t), using a sample period T s
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Suppose we sample the analog signal x(t) = e?2t u(t), using a sample period Ts = 1
(a)?Expressing the sampled signal as x(nTs) = 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.
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