This preview shows pages 1–2. Sign up to view the full content.
EE 562a Midterm Exam, 1 March 2006
WRITE YOUR NAME on the exam paper, and indicate if you are an ONCAMPUS or DEN
student. You may use a simple calculator (i.e., not a scientiﬁc calculator), and one lettersized
sheet of notes (both sides).
Do all problems. Note that these problems have diﬀerent point values, and diﬀer widely in
diﬃculty. You should look over all the problems before starting your work.
Write all answers on
the test paper.
You may use scratch paper to do the problem, but the answer must be written
with the problem. If you do work on scratch paper, and wish that work to be considered for partial
credit, hand in the scratch paper along with the exam.
Part I. Basic Concepts.
For each question in this section, circle the best answer from the choices listed. Each problem has
only one best answer. There is no partial credit on this section. (3 points each.)
1. Let
x
(
u
) and
y
(
u
) be random variables such that
E
{
x
(
u
)
}
=
E
{
y
(
u
)
}
=
E
{
x
(
u
)
y
(
u
)
}
= 0.
Then we can say that
x
(
u
) and
y
(
u
) are:
(a) Uncorrelated
(b) Orthogonal
(c) Independent
(d) All of the above
(e) Both (a) and (b)
2. Which of the following is a linear transformation?
(a)
x
→ 
x

,
x
∈
R
(b) (
x,y
)
→
(
xy,y

2
x
2
)
(c)
x
(
u
)
→
2
E
{
x
(
u
)
}
(d) (
w,x,y, z
)
→
(
w

z,x
+
y

w
+ 3)
3. Which of the following could be a covariance matrix
K
xx
*
?
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 05/06/2008 for the course EE 562a taught by Professor Toddbrun during the Spring '07 term at USC.
 Spring '07
 ToddBrun

Click to edit the document details