1
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The amplitude of random signal is uniformly distributed between $$-$$5V and 5V

If the positive values of the signal are uniformly quantized with a step size of 0.05 V, and the negative values are uniformly quantized with a step size of 0.1V, the resulting signal to quantization noise ratio is approximately

A
46 dB
B
43.8 dB
C
42 dB
D
40 dB
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider a Binary Symmetric Channel (BSC) with probability of error being 'p'. To transit a bit, say 1, we transmit a sequence of three 1s. The receiver will interpret the received sequence to represent 1 if at least two bits are 1. The probability that the transmitted bit will be received in error is
A
$${p^3} + 3{p^2}\left( {1 - p} \right)$$
B
$${p^3}$$
C
$${\left( {1 - p} \right)^3}$$
D
$${p^3} + {p^2}\left( {1 - p} \right)$$
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
During transmission over a certain binary communication channel, bit errors occurs independently with probability p. The probability of at most one bit in error in a block of n bits is given by
A
$${p^n}$$
B
$$1 - {p^n}$$
C
$$np{\left( {1 - p} \right)^{n - 1}} + {\left( {1 - p} \right)^n}$$
D
$$1 - {\left( {1 - p} \right)^n}$$
4
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
An input to a 6-level quantizer has the probability density function f(X) as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize the entropy of the quantizer output. It is given that 3 consecutive decision boundaries are ‘-1’, ‘0’ and ‘1’. GATE ECE 2007 Communications - Noise In Digital Communication Question 22 English

The values of a and b are

A
a = 1/6 and b = 1/12
B
a = 1/5 and b = 3/40
C
a = 1/4 and b = 1/16
D
a = 1/3 and b = 1/24
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