1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$. When binary $$0$$ is transmitted the voltage at the detector input can lie between the levels $$-0.25V$$ and $$+0.25V$$ with equal probability when binary $$1$$ is transmitted, the voltage at the detector can have any value between $$0$$and $$1 V$$ with equal probability. If the detector has a threshold of $$2.0V$$ (i.e., if the received signal is greater than $$0.2 V$$, the bit is taken as $$1$$), the average bit error probability is
A
$$0.15$$
B
$$0.2$$
C
$$0.05$$
D
$$0.5$$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;2}$$ is excited with 10u(t). The time at which the output reaches 99% of its steady state value is
A
2.7 sec
B
2.5 sec
C
2.3 sec
D
2.1 sec
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
For the polynomial
P(s) = s5 + s4 + 2s3 + 2s2 + 3s + 15 ,
the number of roots which lie in the right half of the s-plane is
A
4
B
2
C
3
D
1
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the signal flow graph shown in Figure. The gain $$\frac{x_5}{x_1}$$ is GATE ECE 2004 Control Systems - Signal Flow Graph and Block Diagram Question 3 English
A
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)}{abcd}$$
B
$$\frac{bedg}{1-\left(be\;+\;cf\;+\;dg\right)}$$
C
$$\frac{abcd}{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}$$
D
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}{abcd}$$
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