GEORGIA INSTITUTE OF TECHNOLOGY
SCHOOL of ELECTRICAL & COMPUTER ENGINEERING
FINAL EXAM
DATE:
30Apr04
COURSE:
ECE2025
NAME:
GT #
:
LAST,
FIRST
Recitation Section: Circle the date & time when your
Recitation Section
meets (not Lab):
L03:TuesNoon (Ji)
L04:ThurNoon (Bordelon)
L05:Tues1:30pm (Ji)
L06:Thurs1:30pm (Bordelon)
L11:M3pm (McClellan)
L07:Tues3pm (Fan)
L12:W3pm (Bordelon)
L09:Tues4:30pm (Fan)
L14:W4:30pm (Bordelon)
GTREP: (Barnes)
•
Write your name on the front page ONLY.
DO NOT
unstaple the test.
•
Closed book, but a calculator is permitted.
•
One page (
8
1
2
×
11
) of
HANDWRITTEN
notes permitted. OK to write on both sides.
•
JUSTIFY
your reasoning clearly to receive partial credit.
Explanations are also required.to receive full credit for any answer.
•
You must write your answer in the space provided on the exam paper itself.
Only these answers will be graded. Circle your answers, or write them in the boxes provided.
If space is needed for scratch work, use the backs of previous pages.
Problem
Value
Score
1
25
2
25
3
25
4
25
5
25
6
25
7
25
8
25
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PROBLEM Spring04F.1:
Circle the correct answer to each of the following short answer questions, and
provide a short justification
for your answer.
1. Pick the correct frequency response for the FIR filter:
y
[
n
]
=
x
[
n

1]
+
x
[
n

2].
(a) 2 cos
(
0
.
5
ˆ
ω)
(b) 2
e

j
1
.
5
ˆ
ω
cos
(
1
.
5
ˆ
ω)
(c) 2
e

j
1
.
5
ˆ
ω
cos
(
0
.
5
ˆ
ω)
(d) 2
e

j
2
ˆ
ω
cos
(
ˆ
ω)
(e) none of the above
2. A sinusoidal signal
x
(
t
)
is defined by:
x
(
t
)
=
e
{
(
1

j
√
3
)
e
j
π
t
}
. When
x
(
t
)
is plotted versus time
(
t
)
, its maximum value will be:
(a)
A
=
1

j
√
3
(b)
A
=
2
(c)
A
=
√
3
(d)
A
=
1
(e) none of the above
3. Determine the amplitude
(
A
)
and phase
(φ)
of the sinusoid that is the sum of the following three
sinusoids: 10 cos
(
6
t
+
π/
2
)
+
3 cos
(
6
t
+
11
π/
6
)
+
3 cos
(
6
t

5
π/
6
)
,
(a)
A
=
10 and
φ
=
π/
2.
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 Spring '08
 JUANG
 Fourier Series, LTI system theory

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