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 57 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
In the signal flow graph of Fig. y/x equals GATE ECE 1997 Control Systems - Signal Flow Graph and Block Diagram Question 4 English
A
3
B
5/2
C
2
D
None of the above
4
GATE ECE 1997
Subjective
+5
-0
Following fig. shows the block diagram representation of control system. The system in block A has an impulse response h(t ) = e−t u(t ). The system in block B has an impulse response h(t ) = e−2t u(t ). The block 'K' amplifies its inputs by a factor k. For the overall system with input x(t) and output y(t). GATE ECE 1997 Control Systems - Time Response Analysis Question 7 English (a) Find the transfer function $$\frac{y\left(s\right)}{x\left(s\right)}$$ when k =1.
(b) Find the impulse response when k = 0.
(c) Find the values of k for which the system becomes unstable.
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