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Test: Special Classes of Random Processes


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8 Questions MCQ Test Communication System | Test: Special Classes of Random Processes

Test: Special Classes of Random Processes for Electronics and Communication Engineering (ECE) 2023 is part of Communication System preparation. The Test: Special Classes of Random Processes questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Special Classes of Random Processes MCQs are made for Electronics and Communication Engineering (ECE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Special Classes of Random Processes below.
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Test: Special Classes of Random Processes - Question 1

Let U and V be two independent zero mean Gaussian random variables of variances 1/4 and 1/9 respectively. The probability P(3V ≥ 2U) is 

Detailed Solution for Test: Special Classes of Random Processes - Question 1

U and V are two independent zero mean and Gaussian.

let z = 3V - 2U

U and V are Gaussian then their linear transformation Z is also Gaussian

than E[z] = E[3V - 2U]=3E[V] - 2E[U]=0

if z is gaussian and zero mean then its probability for greater than zero is 0.5

Option C is the correct answer. 

Test: Special Classes of Random Processes - Question 2

A device has 200 Ω equivalent noise resistance, 300 Ω input resistor, and the bandwidth of the amplifier is 6 MHz. If the operating temperature of the amplifier is 290° K, the noise voltage at the input of a television RF amplifier will be nearly

Detailed Solution for Test: Special Classes of Random Processes - Question 2

Concept:

The noise voltage at the input of the RF amplifier is given by:

Where,

Equivalent resistance (Req) = RNoise + Rin

Boltzmann constant (k) = 1.38 × 10-23

T: Operating temperature.

B: Bandwidth of amplifier.

Calculation:

Given Equivalent resistance (Req) = 200 + 300 = 500 Ω

B = 6 MHz and T = 290 0K

Putting on the respective values, we get:

V = 6.92 μV

Test: Special Classes of Random Processes - Question 3

Which method is much better and efficient?

Detailed Solution for Test: Special Classes of Random Processes - Question 3

Vector quantization will always equal or exceed the performance of scalar quantization.

Test: Special Classes of Random Processes - Question 4

Which reduces the dynamic range of quantization noise in PCM?

Detailed Solution for Test: Special Classes of Random Processes - Question 4

Adaptive quantizer reduces the dynamic range of quantization noise in PCM and DPCM.

Test: Special Classes of Random Processes - Question 5

Gaussian process is a

Detailed Solution for Test: Special Classes of Random Processes - Question 5

If Gaussian process is a wide sense stationary process then it will also be strict sense stationary process.

Test: Special Classes of Random Processes - Question 6

Air craft of Jet Airways at Ahmedabad airport arrive according to a Poisson process at a rate of 12 per hour. All aircraft are handled by one air traffic controller. If the controller takes a 2 – minute coffee break, what is the probability that he will miss one or more arriving aircraft?

Detailed Solution for Test: Special Classes of Random Processes - Question 6

P (miss/or more aircraft) = 1 – P(miss 0) = 1 – P(0 arrive).

Test: Special Classes of Random Processes - Question 7

A random process is defined by X(t) + A where A is continuous random variable uniformly distributed on (0,1). The auto correlation function and mean of the process is

Detailed Solution for Test: Special Classes of Random Processes - Question 7

E[X(t)X(t + t)] = 1/3 and E[X(t)] = 1/2 respectively.

Test: Special Classes of Random Processes - Question 8

The auto correlation function of a stationary ergodic random process is shown below.

What is the value of variance?

Detailed Solution for Test: Special Classes of Random Processes - Question 8

Here X = 0, y = 0, Rxx(0) = 5, Ryy(0) = 10. The only value that satisfies all the given conditions is 30.

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