The input 4sinc(2t) is fed to a Hilbert transformer to obtain y(t), as shown in the figure below: Here sinc (x) = \frac{ \sin ⁡ (\pi x) }{\pi x} The value (accurate to two decimal places) \int ↙\stackrel{\infty}{−\infty}⁡ |y (t) {{}/{}|} ^{2}dt\: is ________.

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 49 of 65

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

Here

sinc (x) = \;{\ sin\;⁡\;(π\;x)\;}/{π\;x}

The value (accurate to two decimal places)

∫ ↙{−∞}↖{∞}⁡ |y (t) {{}/{}|} ^{2}dt\:

is ________.

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