Set #4
Due Friday March 22 2013
ECE 5615 Homework Problems
Problems:
1. [Levy 2.2] The system shown below is an idealized model for binary communication through a fading channel. The message X that we want to transmit takes
one of two values, 0 or 1, with
Set #5
Due Friday April 26 2013
ECE 5615 Homework Problems
Problems:
1. (Schwartz and Shaw 6.20) Given x = s 2 + n . Where n is a zero mean Gaussian rv with variance of one.
a.) Find the ML estimate s ml of s .
b.) Find the MAP estimate s map of s for
fS
Set #3
Due Monday March 11, 2013
ECE 5615 Homework Problems
Problems:
1. Given
0<x<y
2,
f xy ( x, y ) =
0<y<1
0, otherwise
Find the best linear estimate of rv y in terms of rv x.
2. The function below, rp1(), generates M sample functions of an N point
Set #6
Due Tuesday May 7 2013
ECE 5615 Homework Problems
Problems:
1.
2.
3.
4.
5.
6.
7.
Hayes Text 5.1.
Hayes Text 5.8.
Hayes Text 5.11.
Hayes Text 7.4.
Hayes Text 7.8.
Hayes Text 8.2.
Hayes Text C8.1(a) and then part (c) with respect to part (a) only. Do
Set #2
Due Monday February 25, 2013
ECE 5615 Homework Problems
Problems:
1. A block of 100 bits is transmitted over a binary communications channel with
2
probability of bit error p = 10 .
a.) If the block has 1 or fewer errors then the receiver accepts t
Set #1
Due Monday February 11, 2013
ECE 5615 Homework Problems
Make note of the following:
We will begin discussion of these problems in class on Tuesday January 25
Write only on one side of the paper
Please try if possible to start each new problem on a
Set #1p
ECE 5615/4615 Computer Project
Due Friday March 22, 2013
The details of this first computer project are described below. This being a form of
take-home exam means that each person is to do his/her own work.
Problems
1. The random variable w is def
Midterm Exam
ECE 5615 Homework Problems
Due Friday April 12, 2013
The midterm exam is in the form of a take-home exam, meaning each student is to
do his/her own work without consulting others. One problem is a computer simulation problem taken from the Ha
Clearing up Cross Correlation Confusion
The Starting Point
The cross correlation as defined in the notes page 3-118 is
ryx [ k ] E y[ n k ]x [ n] rx [ k ] h[ k ] .
The Homework Problem Needs
Working from the opposite order, rxy [ k ] ,
rxy [ k ] E x[ n k
1
ERRATA in Problems First Printing
Problem 2.13: The matrix A should be
A = ,0 1
1 0
Problem 3.8: De ne the process xn as follows
xn = A cosn! +
and, in part c, let ! be a random variable that is uniformly distributed over the interval
!0 , ; !0 +
In a
ECE 5615/4615
Statistical Signal Processing
Spring Semester 2013
Instructor:
Dr. Mark Wickert
Office: EN292
mwickert@uccs.edu
http:/www.eas.uccs.edu/wickert/ece5615/
Office Hrs:
Monday 3:304:30 PM, 7:208:00 PM, other times by appointment.
Required
Texts:
Final Exam
ECE 5615 Homework Problems
Due Thursday May 16, 2013
The final exam is in the form of a take-home exam, meaning each student is to due
his/her own work without consulting others. The problems are taken from the Hayes
text and elsewhere. The due