GATE Electronics and Communications (EC) 2013 Solved Paper

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Question : 35 of 65

Marks: +1, -0

Let

y (t) = e^{−π t^{2}}

and

h(t)

is a filter matched to

y(t)

. If

y(t)

is applied as input to

h(t)

then the Fourier transform of the output is:

$e^{−π f^{2}}$
$e^{−π f^{2}\/ 2}$
$e^{−π |f{{}/{}|} }$
$e^{−2π f^{2}}$

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