1
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
Given two continuous time signals $$x\left(t\right)=e^{-t}$$ and $$y\left(t\right)=e^{-2t}$$ which exist for t > 0, the convolution z(t) = x(t)*y(t) is
A
$$e^{-t}-e^{-2t}$$
B
$$e^{-3t}$$
C
$$e^{+t}$$
D
$$e^{-t}\;+\;e^{-2t}$$
2
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
A low–pass filter with a cut-off frequency of 30 Hz is cascaded with a high-pass filter with a cut-off frequency of 20 Hz. The resultant system of filters will function as
A
an all-pass filter
B
an all-stop filter
C
an band stop (band-reject) filter
D
a band–pass filter
3
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
For the system $$\frac2{\left(s+1\right)}$$, the approximate time taken for a step response to reach 98% of its final value is
A
1 s
B
2 s
C
4 s
D
8 s
4
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
The system represented by the input-output relationship $$y\left(t\right)=\int_{-\infty}^{5t}x\left(\tau\right)d\tau$$, t > 0 is
A
Linear and causal
B
Linear but not causal
C
Causal but not linear
D
Neither linear nor causal
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