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Official PYQ · 2014

GATE EC 2014 Set 4 Q18 — LTI Systems

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A real-valued signal x(t)x(t) limited to the frequency band ∣f∣≤W2\mid f \mid \leq \frac{W}{2} is passed through a linear time invariant system whose frequency response is H(f)={e−j4πf,∣f∣≤W20,∣f∣>W2.H(f) = \begin{cases} e^{-j 4 \pi f}, & \mid f \mid \leq \frac{W}{2} \\ 0, & \mid f \mid > \frac{W}{2} \end{cases}. The output of the system is

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Answer: D

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