1
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33

Consider a real-valued base-band signal $x(t)$. band limited to 10 kHz . The Nyquist rate for the signal $y(t)=x(t) \times \left(1+\frac{t}{2}\right)$ is

A

20 kHz

B

30 kHz

C

60 kHz

D

15 kHz

2
GATE ECE 2016 Set 2
Numerical
+1
-0
The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.
Your input ____
3
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t) denotes the unit-step function?
A
$${e^{j{\omega _0}t}}u(t)$$
B
$$\cos ({\omega _0}t)$$
C
$${e^{j{\omega _0}t}}$$
D
$$\sin ({\omega _0}t)$$
4
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If the signal x(t) = $${{\sin (t)} \over {\pi t}}*{{\sin (t)} \over {\pi t}}$$ with * denoting the convolution operation, then x(t) is equal to
A
$${{\sin (t)} \over {\pi t}}$$
B
$${{\sin (2t)} \over {\pi t}}$$
C
$${{2\sin (t)} \over {\pi t}}$$
D
$${\left( {{{\sin (t)} \over {\pi t}}} \right)^2}$$

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