GATE ECE 2007 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 2007

MCQ (Single Correct Answer)

-0.3

If E denotes expectation, the variance of a random variable X is given by

$$E\,\left[ {{X^2}} \right] - \,{E^2}\left[ X \right]$$

$$E\,\left[ {{X^2}} \right] + \,{E^2}\left[ X \right]$$

$$E\,\left[ {{X^2}} \right]$$

$${E^2}\left[ X \right]$$

GATE ECE 2007

MCQ (Single Correct Answer)

-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 21 English

GATE ECE 2007 Communications - Noise In Digital Communication Question 21 English

Assuming that the reconstruction levels of the quantizer are the mid-points of the decision boundaries, the ratio of signal power to quantization noise power is

$${152 \over 9}$$

$${64 \over 3}$$

$${76 \over 3}$$

$$28$$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.6

GATE ECE 2007 Communications - Noise In Digital Communication Question 22 English

The values of a and b are

a = 1/6 and b = 1/12

a = 1/5 and b = 3/40

a = 1/4 and b = 1/16

a = 1/3 and b = 1/24

GATE ECE 2007

MCQ (Single Correct Answer)

-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

$${p^n}$$

$$1 - {p^n}$$

$$np{\left( {1 - p} \right)^{n - 1}} + {\left( {1 - p} \right)^n}$$

$$1 - {\left( {1 - p} \right)^n}$$

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