Official PYQ · 2006Set 1 · Q51Continuous-time SignalsMCQ1 mark

GATE EC 2006 Set 1 Q51 — Continuous-time Signals

The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion
$x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{3}+7\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{2}$
would be

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Published 10 Oct 2026

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