This is for part C of the problem 5-2.1 Classify each of the following random pr

Question

This is for part C of the problem

5-2.1 Classify each of the following random processes as continuous, discrete or mixed. a) A random process in which the random variable is the number of cars per minute passing a given traffic counter. b) The thermal noise voltage generated by a resistor. c) The random process defined in Problem 5-1.2. d) The random process that results when a Gaussian random process is passed through an ideal half-wave rectifier. e) The random process that results when a Gaussian random process is passed throug)h an ideal full-wave rectifier. 206 CHAPTER 5 RANDOM PROCESSES f) A random process having sample functions of the form X(t) A cos (Bt +8) where A is a constant, B is a random variable that is exponentially distributed from 0 to oo, and is a random variable that is uniformly distributed between 0 and 2

Explanation / Answer

a.discreet (number of cars is discrete.But if it would have been the average number then it would have been continuous)

b.continuous(thermal noise is a continuous random variable(

c.continuous(random digits of three numbers are discrete.average of them is continuous)

d.mixed(Gaussian process is continuous but passing through half wave rectifier makes it discrete.so it parts it is continuous but it has discontinuous points too.so it is a mixed random variable)

e.continuous(The Gaussian process is continuous but passing through full wave rectifier makes it continuous.so it is a continuous random variable)

f.continuous(cosine function is continuous)

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