1.

Consider the two continuous-time signals defined below:\({x_1}\left( t \right) = \left\{ {\begin{array}{*{20}{c}}{\left| t \right|, - 1 \le t \le 1\;}\\{0,\;otherwise\;}\end{array},} \right.{x_2}\left( t \right) = \left\{ {\begin{array}{*{20}{c}}{1 - \left| t \right|, - 1 \le t \le 1\;}\\{0,\;otherwise\;}\end{array}} \right.\)These signals are sampled with a sampling period of T = 0.25 seconds to obtain discrete time signals x1[n] and x2[n], respectively. Which one of the following statements is true?

A. The energy of x1[n] is greater than the energy of x2[n].
B. The energy of x2[n] is greater than the energy of x2[n].
C. x1[n] and x2 have equal energies.
D. Neither x1[n] nor x2[n] is a finite-energy signal.
Answer» B. The energy of x2[n] is greater than the energy of x2[n].


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