1
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
Which of the following can be impulse response of a causal system?
A
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 1
B
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 2
C
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 3
D
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 4
2
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of the system should be
A
$$4\,{e^{j4\pi f}}$$
B
$$2\,{e^{ - j8\pi f}}$$ v
C
$$4\,{e^{ - j4\pi f}}$$
D
$$2\,{e^{j8\pi f}}$$
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Convolution of x(t + 5) with impulse function $$\delta \left( {t\, - \,7} \right)$$ is equal to
A
$$X\left( {t - 12} \right)$$
B
$$X\left( {t + 12} \right)$$
C
$$X\left( {t - 2} \right)$$
D
$$X\left( {t + 2} \right)$$
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a system is given by $$H\left( s \right) = {1 \over {{s^2}\left( {s - 2} \right)}}$$. The impulse response of the system is
A
$$\left( {{t^2} * {e^{ - 2t}}} \right)U\left( t \right)$$
B
$$\left( {t * {e^{2t}}} \right)U\left( t \right)$$
C
$$\left( {{t^2}{e^{ - 2t}}} \right)U\left( t \right)$$
D
$$\left( {t{e^{ - 2t}}} \right)U\left( t \right)$$
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