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GATE EE 2018 Set 1 — Question 48

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MCQ+2 / -0.67MediumCT & DT SignalsSignal RepresentationSignals & SystemsEnergy & Power Signals

Signals & Systems → Signal Representation → CT & DT Signals

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Consider the two continuous-time signals defined below:x1(t)={∣t∣,−1≤t≤10,otherwise,x2(t)={1−∣t∣,−1≤t≤10,otherwisex_1(t) = \begin{cases} |t|, & -1 \leq t \leq 1 \\ 0, & \text{otherwise} \end{cases}, \quad x_2(t) = \begin{cases} 1 - |t|, & -1 \leq t \leq 1 \\ 0, & \text{otherwise} \end{cases}These signals are sampled with a sampling period of T=0.25T = 0.25 seconds to obtain discrete-time signals x1[n]x_1[n] and x2[n]x_2[n], respectively. Which one of the following statements is true?
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