1
GATE ECE 2015 Set 1
Numerical
+2
-0
The input X to the Binary Symmetric Channel (BSC) shown in the figure is ‘1’ with probability 0.8. The cross-over probability is 1/7. If the received bit Y = 0, the conditional probability that ‘1’ was transmitted is _______. GATE ECE 2015 Set 1 Communications - Noise In Digital Communication Question 13 English
Your input ____
2
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A source emits bit 0 with probability $${1 \over 3}$$ and bit 1 with probability $${2 \over 3}$$. The emitted bits are communicated to the receiver. The receiver decides for either 0 or 1 based on the received value R. It is given that the conditional density functions of R are as
$${f_{\left. R \right|o}}\,(r) = \left\{ {\matrix{ {{1 \over 4},} & { - \,3\,\, \le \,\,x\,\, \le \,\,1,\,} \cr 0 & {otherwise,} \cr } } \right.and$$
$${f_{R/o}}\,(r) = \left\{ {\matrix{ {{1 \over 6},} & { - \,1\,\, \le \,\,x\,\, \le \,\,5\,,} \cr 0 & {otherwise.} \cr } } \right.$$

The minimum decision error orobability is

A
0
B
1/12
C
1/9
D
1/6
3
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Negative feedback in a closed-loop control system DOES NOT
A
reduce the overall gain
B
reduce bandwidth
C
improve disturbance rejection
D
reduce sensitivity to parameter variation
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The damping ratio of a series RLC circuit can be expressed as
A
$$\frac{R^2C}{2L}$$
B
$$\frac{2L}{R^2C}$$
C
$$\frac R2\sqrt{\frac CL}$$
D
$$\frac2R\sqrt{\frac LC}$$
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