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EE 301A (DR. JONCKHEERE)
FINAL
•
Closed books, closed notes, calculators allowed.
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Three
1
1
2
1
8
′
′
×
″
(2sided) sheets of notes (“memory aid”) allowed.
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Show all work to get full credit.
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As a reminder, University policy is zero tolerance for cheating in
exams.
Name (Last, First, Middle Initial):_________________________________
email address:________________________________________________
Maximum possible
Scores
Problem 1 (Fourier)
25
Problem 2 (discrete Fourier)
25
Problem 3 (Laplace)
25
Problem 4 (Laplace)
25
Total
100
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Problem 1 (25 points).
Consider a hypothetical LTI system with real
transfer function H(
j
ϖ
) defined as below:
a)
(15 points). Without computing the inverse Fourier transform h(t), that is,
the impulse response of the system, evaluate
dt
e
t
t
t
h
jt
∫
∞
∞

π
sin
)
(
3
b)
(10 points). Compute the output of the system to the following input:
)
1
2
sin(
1
)
(

+
=
t
t
x
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Problem 2 (25 points).
A discretetime, causal, LTI system with impulse
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This note was uploaded on 05/05/2008 for the course EE 301 taught by Professor Enright during the Spring '08 term at USC.
 Spring '08
 Enright

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