EC > GATE 2024 > Sampling Theorem
A continuous time signal $x(t) = 2 cos(8πt + π/3)$ is ideally sampled at a rate of 15 Hz.
The sampled signal $x_s(t)$ when passed through an LTI system with impulse response
h(t) = (\frac{sin 2πt}{πt}) cos(38πt - π/2)
the expression for $x_o(t)$ is
A
$15 sin(38πt + π/3)$
B
$15 sin(38πt - π/3)$
C
$15 cos(38πt - π/6)$
D
$15 cos(38πt + π/6)$

Correct : B

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Related Topics

EC GATE 2024 continuous time signal sampling theorem LTI system analysis impulse response Fourier transform signal processing EC GATE EC 2024 sinusoidal signals EC

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