GEORGIA INSTITUTE OF TECHNOLOGY
SCHOOL of ELECTRICAL & COMPUTER ENGINEERING
FINAL EXAM
DATE:
2-May-05
COURSE:
ECE-2025
NAME:
GT #
:
LAST,
FIRST
(ex:
gtz125a
)
Recitation Section: Circle the date & time when your
Recitation Section
meets (not Lab):
L05:Tues-Noon (Chang)
L06:Thur-Noon (Ingram)
L07:Tues-1:30pm (Chang)
L08:Thurs-1:30pm (Zhou)
L01:M-3pm (Williams)
L09:Tues-3pm (Casinovi)
L02:W-3pm (Juang)
L10:Thur-3pm (Zhou)
L03:M-4:30pm (Casinovi)
L11:Tues-4:30pm (Casinovi)
L04:W-4:30pm (Juang)
GTSav: (Moore)
•
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
HAND-WRITTEN
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
30
2
30
3
30
4
30
5
30
6
30
7
30
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PROBLEM SPR-05-F.1:
The transmitter system below involves a multiplier followed by a filter:
0
1
ω
X
(
j
ω)
ω
b
–
ω
b
(a)
0
(b)
1
LTI System
h
(
t
),
H
(
j
ω)
cos
(ω
m
t
)
v(
t
)
x
(
t
)
y
(
t
)
ω
X
(
j
ω)
ω
m
-
ω
m
The Fourier transform of the input is
X
(
j
ω)
. For all parts below, assume that
ω
m
=
200
π
, and
ω
b
=
100
π
.
(a) Make a sketch of
V
(
j
ω)
, the Fourier transform of
v(
t
)
, when the input is
X
(
j
ω)
shown above.
0

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- Spring '08
- JUANG
- Digital Signal Processing, Signal Processing, LTI system theory, input signal, ideal c-to-d converter
-
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