ECE 3800 Probabilistic Methods of
Signal and System Analysis
Homework Assignments
Homework Notes:
 Your submitted skill/text homework solutions must be in the order assigned.
Problems that are not in the order assigned (1) may not be graded and (2) you may
not get credit for the points.
Homework #1 (due 1/21):
Text Problems: 1-4.1, 1-4.4, 1-4.8, 1-5.5, 1-6.3, 1-7.2, 1-7.4, 1-8.3, 1-9.2, 1-10.5,
and 1-10.7.
Homework hint:
Problem 1-10.7: (b) and (c) Based on the need, compute the probabilities that 0 of 12
need a link, 1 of 12, etc. When the sum of the probabilities is greater than xx.x%, you
have enough links.
Computer Assignment for Homework #1.
Perform Problem 1-10.9 entering the code as described and answering the questions.
 Save the code in a script file so that it can be executed multiple times. Execute the
as-provide code a few time and notice that the results do not change.
 Next, comment out the line “rand(‘seed’1000)” and rerun the script a few more
times. (You are no longer forcing the random number seed to the same value
every time and it is continuously changing.)
 Copy the original plot and paste it into a word document for printing and
submission. Copy one of the plots after commenting out the rand line into the
word document as well. Please scale the plots so that they both appear on one
page.
Homework #2 (due 1/28)
Text: 2-2.1, 2-2.3, 2-2.4 (typo, use: A  1  sinb  x  ), 2-3.2, 2-3.3,
2-4.1, 2-4.2, 2-4.4, 2-4.5
Computer Assignment for Homework #2. Build and demonstrate the Matlab code scripts
shown in Append G pages 438 to 445 (stop at “Processing Signals through Linear
Systems”). Matlab can plot multiple figures instead of one at a time followed by a
‘pause’. All you have to do is execute ‘figure’ prior to a function that plots (e.g. plot, hist,
semiology) and a new figure window will appear. Then you can eliminate the pauses. In
addition, the first two lines of a stand-alone script (not a function) should be ‘clear;’ and
‘close all;’. This clears all previous variables (results are based on this script not prior
operations) and closes all the figures previously generated.
Page 1 of 2
Homework #3 (due 2/4)
Text: 2-5.1, 2-5.3, 2-6.2, 2-7.1, 2-7.2 (uniform density), 2-7.3, 2-7.4 (exponential/Erlang
density), 2-8.1, 2-8.2, and 2-9.3.
Computer Assignment: 2-5.4 – provide MATLAB plots, 2-5.6 – modify the code from
HW#2 or Dr. Bazuin’s from the web site, and 2-9.5.
Exam #1 (2/13)
Homework #4 (due 2/18)
Text: 3-1.2, 3-1.3b, 3-2.2, 3-2.3, 3-3.1, 3-4.1, 3-5.1, 3-5.4, and 3-6.1
Extra HW Credit [1 HW prob. try pts.]: Show all the steps in the derivation of Equ. 3-34.
Computer Assignment: The Matlab example on p. 140 shows an exponential pdf
becoming Gaussian-like. This exists for other pdf as well. Repeat the simulation for a
uniform density function (0<x<=1), a Rayleigh pdf, Cauchy pdf and Laplace pdf.
Homework #5 (due 2/25)
Exam 1: all questions as homework
Text: 4-2.1, 4-4.1, 4-5.1, 4-6.1 (correction, xi=1, 3, 4, 6, 8, 9, 11, 14 and yi=11, 12, 14,
14, 15, 17, 18, 19)
Homework #6 (due 3/4)
Text: 5-3.2, 5-4.2, 5-5.1, and 5-5.3
Computer Assignment
Exam #2 (3/20)
Homework #7 (3/25)
Text: 6-1.1, 6.1-2, 6-2.1, 6-2.2, 6-3.2, 6-4.1, and 6-4.6
Computer Assignment: 6-4.6, 6-4.7, 6-5.1, and 6-8.3.
Homework #8(4/3)
Text: 7-1.1, 7-2.2, 7-3.2, 7-3.4, 7-4.1, 7-4.2, 7-5.2 (typo: use the equation from problem
7-4.1, not 7-3.2!),
7-6.1, and 7-11.1
Computer Assignment 7-9.4 and finding 0.01 magnitude in 7-11.1
Exam #3 (4/13)
Homework #9 (due 4/17)
Text: 8-2.1, 8-3.3, 8-6.1, 8-7.2, 8-8.2, and 8-10.1
Computer Assignment: 8-11.3 (MATALB Problem)
Final (4/28)  10:15 AM-12:15 PM
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