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GATE EC 2018 Set 1 — Question 49

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NAT+2 / -0MediumEnergy & Power SignalsContinuous-Time SignalsSignals & SystemsParseval's Theorem

Signals & Systems → Continuous-Time Signals → Energy & Power Signals

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Question

The input 4sinc(2t)4\text{sinc}(2t) is fed to a Hilbert transformer to obtain y(t)y(t), as shown in the figure below:
Hilbert transformer block diagram
Here sinc(x)=sin⁡(πx)πx\text{sinc}(x) = \frac{\sin(\pi x)}{\pi x}. The value (accurate to two decimal places) of ∫−∞∞∣y(t)∣2dt\int_{-\infty}^{\infty} |y(t)|^2 dt is _______.
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