Official PYQ · 2018Set 1 · Q39Continuous-time SignalsNAT2 marks

GATE EC 2018 Set 1 Q39 — Continuous-time Signals

The input $4\sin c(2t)$ is fed to a Hilbert transformer to obtain $y( t),$ as shown in the figure below:

Here $\sin c \left ( x\right )=\dfrac{\sin\left ( \pi x \right )}{\pi x}.$ The value (accurate to two decimal places) of $\int ^{\infty }_{-\infty } \mid y( t ) \mid ^{2}dt$ is ________.

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Answer: 8:8

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Published 10 Oct 2026

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