Free Printable Random Process

1.

A random process X(t) is called wide sense stationary (WSS) if

a)

its mean is 0

b)

its mean is 1

c)

its mean is constant

d)

its mean is infinite

2.

Strict Sense Stationary (SSS) process is Wide Sense Stationary (WSS) but a WSS process is not necessarily SSS

a)

True

b)

False

3.

A random process is said to be ergodic only when

a)

time averages equal ensemble averages

b)

time averages equal to mean

c)

time averages equal autocorrelation

d)

Autocorrelation equal ensemble averages

4.

Select the special class of random process from the following

a)

wide sense stationary

b)

Gaussian

c)

Markoff sequence

d)

Thermal noise

5.

A random process x(t)= $A\ \cos\left(\omega t\ +\ \theta\right)$ where phase angle is an RV uniformly distributed in the range (0, 2 $\pi$ ) then its autocorrelation function will be

a)

$\frac{A^2}{2\ \ }\cos\ \omega\ \tau\$

b)

$A^2\cos\ \omega\tau$

c)

$\frac{A^2}{4}\cos\ \left(\omega\ \frac{\tau}{2}\right)$

d)

$\frac{A^2}{2}$

6.

If noise is fed as input to a narrowband filter, it gives sinusoid like output

a)

True

b)

False

Random Process

Total questions: 6

Worksheet time: 4mins

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