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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document3.
[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
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Staff
 Standard Deviation, Variance, Probability theory, spectral density

Click to edit the document details