1
GATE ECE 1997
MCQ (Single Correct Answer)
+1
-0.3
A deterministic signal has the power spectrum given in figure. The minimum sampling rate needed to completely represent this signal is GATE ECE 1997 Communications - Digital Communication Systems Question 59 English
A
1 KHz
B
2 KHz
C
3 KHz
D
None of the above
2
GATE ECE 1997
MCQ (Single Correct Answer)
+1
-0.3
A probability density function is given by $$p(x) = \,K\,\,\exp \,\,( - \,{x^2}/2),\,\, - \,\infty \, < \,x < \,\infty $$.

The value of K should be

A
$$1/\sqrt {2\,\pi } $$
B
$$\sqrt {2\,/\pi } $$
C
$$1/2\sqrt \pi $$
D
$$1/\pi \sqrt 2 $$
3
GATE ECE 1997
MCQ (Single Correct Answer)
+2
-0.6
A certain linear time invariant system has the state and the output equations given below $$$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr {\mathop {{x_2}}\limits^ \bullet } \cr } } \right] = \left[ {\matrix{ 1 & { - 1} \cr 0 & 1 \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] + \left[ {\matrix{ 0 \cr 1 \cr } } \right]u$$$ $$$y = \left[ {\matrix{ 1 & 1 \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right], if$$$ $${x_1}\left( 0 \right) =1 ,{x_2}\left( 0 \right) = - 1,$$ $$u\left( 0 \right) = 0,$$ then $${{dy} \over {dt}}{|_{t = 0}}$$ is
A
1
B
-1
C
0
D
None of the above
4
GATE ECE 1997
MCQ (Single Correct Answer)
+2
-0.6
In the signal flow graph of Fig. y/x equals GATE ECE 1997 Control Systems - Signal Flow Graph and Block Diagram Question 6 English
A
3
B
5/2
C
2
D
None of the above
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