1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For a function g(t), it is given that $$\int_{ - \infty }^\infty {g(t){e^{ - j\omega t}}dt = \omega {e^{ - 2{\omega ^2}}}} $$ for any real value $$\omega $$. If y(t)=$$\int_{ - \infty }^t {g(\tau )d\tau ,\,then\,\int_{ - \infty }^\infty {y(t)\,dt} \,} $$ is
A
0
B
- j
C
$$ - {j \over 2}$$
D
$${j \over 2}$$
2
GATE ECE 2014 Set 1
Numerical
+1
-0
Consider two real valued signals, $$x\left( t \right)$$ band - limited to $$\,\left[ { - 500Hz,\,\,500Hz} \right]$$ and $$y\left( t \right)$$ band - limited to $$\,\left[ { - 1\,\,kHz,\,\,1kHz} \right].$$ For $$z\left( t \right)\,\, = \,x\left( t \right).y\left( t \right),$$ the Nyquist sampling frequency $$\left( {in\,\,kHz} \right)$$ is________.
Your input ____
3
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A discrete - time signal x[n] = $${\rm{sin(}}\,{\pi ^2}n)$$, n being an integer is
A
periodic with period $$\pi$$
B
periodic with period $$\,{\pi ^2}$$
C
periodic with period is $$\pi /2$$
D
not periodic.
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Find the odd one from the following group:
W,E,K,O
I,Q,W,A
F,N,T,X
N,V,B,D
A
W,E,K,O
B
I,Q,W,A
C
F,N,T,X
D
N,V,B,D
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