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Official PYQ · 2006

GATE EC 2006 Set 1 Q50 — Continuous-time Signals

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A signal m(t)m(t) with bandwidth 500 Hz500 \mathrm{~Hz} is first multiplied by a signal g(t)g(t) where
g(t)=∑R=−∞∞(−1)kδ(t−0.5×10−4k)g(t)=\sum_{\mathrm{R}=-\infty}^{\infty}(-1)^{k} \delta\left(t-0.5 \times 10^{-4} k\right)
The resulting signal is then passed through an ideal lowpass filter with bandwidth 1  kHz1 \; \mathrm{kHz}. The output of the lowpass filter would be

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Answer: B

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