1
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is GATE ECE 2010 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 29 English
A
GATE ECE 2010 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 29 English Option 1
B
GATE ECE 2010 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 29 English Option 2
C
GATE ECE 2010 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 29 English Option 3
D
GATE ECE 2010 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 29 English Option 4
2
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}}\,\,$$ has an output
$$y(t) = \cos \left( {2t - {\pi \over 3}} \right)\,$$ for the input signal
$$x(t) = p\cos \left( {2t - {\pi \over 2}} \right)$$. Then, the system parameter 'p' is
A
$$\sqrt 3 $$
B
$$\,{2 \over {\sqrt 3 \,}}$$
C
1
D
$${{\sqrt 3 \,} \over 2}$$
3
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist sampling rate for the signal $$s(t) = {{\sin \,(500\pi t)} \over {\pi \,t}} \times {{\sin \,(700\pi t)} \over {\pi \,t}}$$ is given by
A
400 Hz
B
600 Hz
C
1200 Hz
D
1400 Hz
4
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider an angle modutated signal $$x(t) = 6\,\,\cos \,[2\,\pi \, \times {10^6}t + 2\sin (8000\pi t)\,4\cos (8000\pi t)]$$ V.

The average power of x(t) is

A
10 W
B
18 W
C
20 W
D
28 W
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