1
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the output is
A
$${{{t^2}} \over 2}u\left( t \right)$$
B
$${{t\left( {t - 1} \right)} \over 2}u\left( {t - 1} \right)$$
C
$${{{{\left( {t - 1} \right)}^2}} \over 2}u\left( {t - 1} \right)\,$$
D
$${{{t^2} - 1} \over 2}u\left( {t - 1} \right)$$
2
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
Two system with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
A
Product of h1(t) and h2(t).
B
Sum of h1(t) and h2(t).
C
Convolution of h1(t) and h2(t).
D
Subtraction of h1(t) and h2(t)
3
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The impulse response of a continuous time system is given by $$h(t) = \delta (t - 1) + \delta (t - 3)$$. The value of the step response at t = 2 is
A
0
B
1
C
2
D
3
4
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is
A
5 kHz
B
12 kHz
C
15 kHz
D
20 kHz
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