Often we are interested in finding the various ensemble averages of a random process by means of the corresponding time averages determined from single realization of the random process. For example we can compute the time-mean of a single realization of the random process by the formula
which is constant for the selected realization. Note that represents the dc value of .
Another important average used in electrical engineering is the rms value given by
Canandrepresent
To answer such a question we have to understand various time averages and their properties.
by means of the corresponding time averages determined from single realization of the random process. For example we can compute the time-mean of a single realization of the random process by the formula
represents the dc value of 
.
