ECE 3800
Fall 2008
Severance
Final Examination
1.
[35 points]
Consider a signal
, where the random variables are all
statistically independent with
A
is uniformly distributed on
and
uniformly
distributed on
.
a.
Find the autocorrelation
.
b.
Find the spectral density
.
c.
Sketch a graph of
.
d.
Find the DC average power.
e.
Find the total average power.
2.
[40 points] Consider a random variable defined by the following density function:
a.
Write an explicit mathematical description for the density function.
b.
Derive a formula for the distribution function
c.
Calculate the following probabilities:
i.
ii.
d.
Find the mean
e.
Find the second moment
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[20 points]
An ECE 2100 lab experiment is performed by each of the 8 student groups in
the lab section.
The results of the critical voltage measurement are tabulated as follows:
15.5, 16.8, 14.2, 15.1, 13.8, 15.7, 16.2, 15.5
Assuming that these measurements are typical for this experiment, your job is to estimate
the voltage that should be expected for the entire class (which consists of many lab
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 Spring '08
 Staff
 Standard Deviation, Variance, Probability theory, spectral density

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