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Name:
ECE 130A: Signal Analysis and Processing
Prof. Michael Liebling
Fall 2008
Friday, 12 December 2008
University of California, Santa Barbara
Final Exam
Instructions:
Write your ﬁrstname, lastname, and perm number on each page. The following documentation
is allowed: formulary provided on a separate sheet and one (twosided) sheet of handwritten notes (cheat
sheet). No calculators are allowed. You have from noon to 3:00pm to complete this exam. TA’s will not answer
any questions during the exam.
Part I. Review
(10points) For each question, select
one
answer
only
by checking the box corresponding to the
correct answer.
(1
pts
)
1.
Which one of the following drawings of
x
(1

2
t
) is correct given
the function
x
(
t
) sketched in the drawing on the right?
t
1
3
2
3
1
2
4
4
x
(
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
t
1
3
2
3
1
2
4
4
x
(12
t
)
(4
pts
)
2.
Systems Properties
(a) (1pts) The frequency response of an LTI system is
H
(j
ω
)
=
e
j
π
/3
. The input
x
(
t
)
=
e
j3
π
t
yields the output
y
(
t
)
=
e
j(3
π
t
+
π
/3)
y
(
t
)
=
0
y
(
t
)
=
π
3
e
j3
π
t
y
(
t
)
=
e
j
π
/3
(b) (1pts) The system characterized by
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 Fall '07
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