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Official PYQ · 2002

GATE EC 2002 Set 1 Q1.20 — Continuous-time Signals

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Consider a sampled signal y(t)=5×10∘y(t)=5 \times 10^{\circ} 6x(t)∑(n−∞+∞δ(t−nTx){ }^6 x(t) \sum_{(n-\infty}^{+\infty} \delta \left(t-n \mathrm{T}_x\right) where x(t)=10cos⁡(8π×103)tx(t)=10 \cos \left(8 \pi \times 10^3\right) t and Ts=100  μsecT_s=100 \; \mu \mathrm{sec}. When y(t)y(t) is passed through an ideal lowpass filter with a cut-off frequency of 5 kHz\mathrm{kHz}, the output of the filter is

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