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ESE EC : Communications Champion Quiz 1

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Question 1

Match List-I (Type of Random process) with List-II (Property of the Random process) and select the correct answer using the code given below the lists:
List-I
A). Stationary process
B). Ergodic process
C). Wide sense stationary process
D). Cyclostationary process
List-II
1). Statistical averages are periodic in time
2). Statistical averages are independent of time
3). Mean and autocorrelation re independent of time
4).Time averages equal corresponding ensemble average

Question 2

The auto-correlation function Rx () of a random process has the property that Rx (0) is equal to

Question 3

Let x (n) be a real-valued sequence that is a sample sequence of a wide-sense stationary discrete-time random process. The power density function of this signal is

Question 4

For a random variable x having the probability density function (PDF) as shown in the below figure, what are the values of the mean and the variance, respectively?

Question 5

What is the spectral density of white noise?

Question 6

Match List-I (Type) with List-II (Application) and select the correct answer using the code given below the lists:
List-I
A). Speech signal
B). Non-stationary
C). Random signal
D). Chaotic signal
List-II
1). The received signal a radar system monitoring
2). One dimensional signal where amplitude varies with time
3). Signals of coupled system of non-linear
4). Ensemble of unpredictable wave- forms

Question 7

Which of the following is/are not a property/properties of a power spectral density function Sx(ω)?

Question 8

For good quality signal transmission all frequency components should have the same transmission delay, td and same phase shift. What can be said about the statements?

Question 9

If a linear time invariant system is excited by a true random signal like white noise, the output of the linear system will have which of the following properties?

Question 10

A continuous time random signal  x(t) is defined for  The probability density function (pdf) at is.....
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Jun 2ESE & GATE EC