(a) The signal e–5t is sampled every 0.2 s, beginning at t = 0. Find the z-transform of the sampled signal.
(b) The signal e-t is sampled every second, beginning at t = 0. Find the z-transform of the sampled signal.
(c) Why are the z-transforms found in Parts (a) and (b) identical?
(d) A third function eat is sampled every T seconds. Find two different values of (a, T) such that the z-transforms of the sampled function are identical to those of Parts (a) and (b).
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