Let ${x_1}\left( t \right) \leftrightarrow {X_1}\left( \omega \right)$ and ${x_2}\left( t \right) \leftrightarrow {X_2}\left( \omega \right)$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h\left( t \right) = {e^{ - 2\left| t \right|}}$ denotes the impulse response.For the system shown above, the minimum sampling rate required to sample y(t), so that y(t) can be uniquely reconstructed from its samples, is

Question

Let ${x_1}\left( t \right) \leftrightarrow {X_1}\left( \omega \right)$ and ${x_2}\left( t \right) \leftrightarrow {X_2}\left( \omega \right)$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h\left( t \right) = {e^{ - 2\left| t \right|}}$ denotes the impulse response.For the system shown above, the minimum sampling rate required to sample y(t), so that y(t) can be uniquely reconstructed from its samples, is

TuteeHUB · Accepted Answer

$4\left( {{B_1} + {B_2}} \right)$

TuteeHUB · Answer

$2{B_1}$

TuteeHUB · Answer

$2\left( {{B_1} + {B_2}} \right)$

TuteeHUB · Answer

$\infty$

1.	Let \({x_1}\left( t \right) \leftrightarrow {X_1}\left( \omega \right)\) and \({x_2}\left( t \right) \leftrightarrow {X_2}\left( \omega \right)\) be two signals whose Fourier Transforms are as shown in the figure below. In the figure, \(h\left( t \right) = {e^{ - 2\left\| t \right\|}}\) denotes the impulse response.For the system shown above, the minimum sampling rate required to sample y(t), so that y(t) can be uniquely reconstructed from its samples, is
A.	\(2{B_1}\)
B.	\(2\left( {{B_1} + {B_2}} \right)\)
C.	\(4\left( {{B_1} + {B_2}} \right)\)
D.	\(\infty\)
Answer» C. \(4\left( {{B_1} + {B_2}} \right)\)

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