Official PYQ · 2024Set 1 · Q38Continuous-time SignalsMCQ2 marks

GATE EC 2024 Set 1 Q38 — Continuous-time Signals

A continuous time signal $x(t)=2 \cos (8 \pi t+\pi / 3)$ is sampled at a rate of $15 \mathrm{~Hz}$ . The sampled signal $x_{s}(t)$ when passed through an LTI system with impulse response
$h(t)=\left(\frac{\sin 2 \pi t}{\pi t}\right) \cos (38 \pi t-\pi / 2)$
produces an output $x_{o}(t)$ . The expression for $x_{o}(t)$ is $\_\_\_\_\_$ .

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Published 10 Oct 2026

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