Official PYQ · 2017Set 2 · Q49Continuous-time SignalsMCQ2 marks

GATE EC 2017 Set 2 Q49 — Continuous-time Signals

The signal $x(t)=\sin (14000\pi t)$ , where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response $H(f)$ as follows: $H(f)=\begin{cases} 1, & \mid f \mid \leq 12 kHz .\\ 0,& \mid f \mid> 12 kHz. \end{cases}$

What is the number of sinusoids in the output and their frequencies in kHz?

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Answer: B

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Published 10 Oct 2026

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