1
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
If the variance $$\sigma _d^2$$ of d(n) = x(n - 1) is one-tenth the variance $$\sigma _x^2$$ of a stationary zero-mean discrete-time signal x(n), then the normalized autocorrelation function $${R_{xx}}\,(k)\,/\,\,\sigma _x^2\,at\,\,k\,\, = \,1$$ is
A
0.95
B
0.90
C
0.10
D
0.05
2
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a system is $$G\left(s\right)\;=\;\frac{100}{\left(s\;+\;1\right)\left(s\;+\;100\right)}$$.For a unit step input to the system the approximate settling time for 2% criterion is
A
100 sec
B
4 sec
C
1 sec
D
0.01 sec
3
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The system shown in Figure remains stable when GATE ECE 2002 Control Systems - Stability Question 28 English
A
k<-1
B
-1 < k < 1
C
1 < k < 3
D
k > 3
4
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The characteristic polynomial of a system is
q(s) = 2s5 + s4 + 4s3 + 2s2 + 2s + 1. The system is
A
stable
B
marginally stable
C
unstable
D
oscillatory
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