Student Identification Number
(No name please)
By entering my student identification number I affirm that I have neither given nor received help from anyone on
this test.
ECE 315 Test 8 F08
(Closed Book and Notes, Formula Sheet, 3 by 5 Card, Calculator, 20 minutes)
If any question or problem is incomplete, ambiguous or contradictory, explain why. If you are correct you will
receive full credit on that question or problem.
Below are 10 graphs of exactly one period each of 10 periodic discrete-time signals. Enter the letter designation
of the DTFS harmonic function magnitude that corresponds to each discrete-time signal above that signal’s graph
in the space provided.
________
________
________
4
0
0
5 10 15
0
5 10 15
0
5 10 15
0
n
________
________
________
________
________
0
1
0.5
0
5 10 15
0
n
B
n
C
5 10 15
0
k
G
0
0
0
5 10 15
0
k
K
0
0
k
L
5 10 15
k
0
5 10 15
0.05
0
0
5 10 15
k
5 10 15
k
J
0
0.2
0.1
0
5 10 15
0
5 10 15
k
O
2
1
0
0
k
N
|X[k]|
|X[k]|
|X[k]|
0
0.1
|X[k]|
0.5
2
2
0
5 10 15
1
k
M
4
0.02
1.5
0.5
5 10 15
0.15
0
0.04
|X[k]|
0.05
5 10 15
n
E
k
I
|X[k]|
0.2
0.5
k
H
|X[k]|
|X[k]|
|X[k]|
0.4
0.1
0
0.06
1
5 10 15
1
0.6
0
-1
5 10 15
0
5 10 15
k
|X[k]|
0
0.8
0.6
0.4
0.2
0
1
n
D
|X[k]|
0.1
0
5 10 15
|X[k]|
|X[k]|
|X[k]|
0.2
k
F
|X[k]|
0
1.5
0.5
0
0
-1
5 10 15
2
x[n]
x[n]
0.5
0
5 10 15
1
1
0
5 10 15
n
n
A
0
0
n
0.5
0
-2
5 10 15
n
x[n]
x[n]
-5
-2
1
0
0
n
1
0
0
x[n]
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
1
0
0
5 10 15
k
0.4
0.2
0
0
5 10 15
k
Solution of ECE 315 Test 8 F08
________
________
________
4
0
0
0
n
________
________
0.5
0
5 10 15
5 10 15
0
0
________
n
A
0
0
n
B
________
5 10 15
k
G
0
0.05
0
5 10 15
0
k
K
0
0.5
0
5 10 15
5 10 15
k
0.05
0
0
5 10 15
k
5 10 15
k
J
0.2
0.1
0
5 10 15
0
5 10 15
k
O
2
1
0
0
k
N
|X[k]|
0.1
0
k
M
|X[k]|
|X[k]|
|X[k]|
0
0.15
0
5 10 15
1
2
2
0
0
k
L
4
0.02
1.5
0.5
5 10 15
0.04
k
I
|X[k]|
0.2
0
k
H
|X[k]|
|X[k]|
|X[k]|
0.4
0.1
0.5
0
5 10 15
0.06
1
5 10 15
1
0.6
0
n
E
|X[k]|
|X[k]|
0
0
n
D
|X[k]|
0
1
-1
5 10 15
0
5 10 15
k
|X[k]|
0
5 10 15
|X[k]|
|X[k]|
|X[k]|
0
0.1
k
F
0
________
1.5
0.5
0
0
n
C
0.8
0.6
0.4
0.2
0
5 10 15
2
0
-1
5 10 15
1
0.2
0
n
1
0.5
5 10 15
-2
5 10 15
n
1
x[n]
x[n]
x[n]
0
0
n
1
0.5
0
5 10 15
n
1
0
-5
-2
x[n]
5 10 15
0
x[n]
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
1
0
0
5 10 15
k
0.4
0.2
0
0
5 10 15
k
Student Identification Number
(No name please)
By entering my student identification number I affirm that I have neither given nor received help from anyone on
this test.
ECE 315 Test 8 F08
(Closed Book and Notes, Formula Sheet, 3 by 5 Card, Calculator, 20 minutes)
If any question or problem is incomplete, ambiguous or contradictory, explain why. If you are correct you will
receive full credit on that question or problem.
Below are 10 graphs of exactly one period each of 10 periodic discrete-time signals. Enter the letter designation
of the DTFS harmonic function magnitude that corresponds to each discrete-time signal above that signal’s graph
in the space provided.
________
________
________
4
0
0
10 15
0
5
n
________
________
5
5
0.5
0
10 15
10 15
0
0
5
n
A
5
________
0
0
5
n
B
________
________
0
-1
10 15
0
5
n
C
0
5
1
10 15
0
-1
0.2
0
10 15
0
5
10 15
0.8
0.6
0.4
0.2
0
0
5
k
G
0.4
0.2
0
10 15
0
5
k
H
10 15
0
10 15
5
0
10 15
0
5
k
K
0
10 15
0
5
10 15
k
5
0
5
10 15
k
|X[k]|
0.5
0
10 15
0
5
10 15
0
0
5
10 15
k
O
1
1
0
10 15
2
k
N
2
0.5
0
1
k
M
|X[k]|
|X[k]|
0.05
0
k
L
1
0.1
|X[k]|
0.1
5
4
0
5
10 15
k
|X[k]|
0
0.1
|X[k]|
0.5
|X[k]|
|X[k]|
1
0.2
0
k
J
1.5
0.2
1
k
I
1.5
|X[k]|
5
n
E
|X[k]|
0.4
k
F
|X[k]|
0
n
D
|X[k]|
0.6
|X[k]|
|X[k]|
|X[k]|
0.02
0
10 15
2
0.04
0
5
2
0.06
0
0
n
1
0.5
10 15
-2
10 15
n
1
x[n]
x[n]
x[n]
0
0
n
1
0.5
0
10 15
n
1
0
x[n]
5
0
-5
-2
x[n]
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
0.5
0
0
5
10 15
k
0.15
0.1
0.05
0
0
5
10 15
k
Solution of ECE 315 Test 8 F08
________
________
________
4
0
0
10 15
0
5
n
________
________
5
5
0.5
0
10 15
10 15
0
0
5
n
A
5
________
0
0
5
n
B
________
________
0
-1
10 15
0
5
n
C
0
5
1
10 15
0
-1
0.2
0
10 15
0
5
10 15
0.8
0.6
0.4
0.2
0
0
5
k
G
0.4
0.2
0
10 15
0
5
k
H
10 15
0
10 15
5
0
10 15
0
5
k
K
0
10 15
0
5
10 15
k
5
0
5
10 15
k
|X[k]|
0.5
0
10 15
0
5
10 15
0
0
5
10 15
k
O
1
1
0
10 15
2
k
N
2
0.5
0
1
k
M
|X[k]|
|X[k]|
0.05
0
k
L
1
0.1
|X[k]|
0.1
5
4
0
5
10 15
k
|X[k]|
0
0.1
|X[k]|
0.5
|X[k]|
|X[k]|
1
0.2
0
k
J
1.5
0.2
1
k
I
1.5
|X[k]|
5
n
E
|X[k]|
0.4
k
F
|X[k]|
0
n
D
|X[k]|
0.6
|X[k]|
|X[k]|
|X[k]|
0.02
0
10 15
2
0.04
0
5
2
0.06
0
0
n
1
0.5
10 15
-2
10 15
n
1
x[n]
x[n]
x[n]
0
0
n
1
0.5
0
10 15
n
1
0
x[n]
5
0
-5
-2
x[n]
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
0.5
0
0
5
10 15
k
0.15
0.1
0.05
0
0
5
10 15
k
Student Identification Number
(No name please)
By entering my student identification number I affirm that I have neither given nor received help from anyone on
this test.
ECE 315 Test 8 F08
(Closed Book and Notes, Formula Sheet, 3 by 5 Card, Calculator, 20 minutes)
If any question or problem is incomplete, ambiguous or contradictory, explain why. If you are correct you will
receive full credit on that question or problem.
Below are 10 graphs of exactly one period each of 10 periodic discrete-time signals. Enter the letter designation
of the DTFS harmonic function magnitude that corresponds to each discrete-time signal above that signal’s graph
in the space provided.
________
________
________
4
0
0
________
0
n
A
0
0
0.5
0
k
F
0
5 10 15
________
1
0
0
-1
5 10 15
0
k
G
0
n
D
2
0.04
0.02
0
5 10 15
5 10 15
n
E
0.06
0.5
5 10 15
2
0
-1
5 10 15
1
1
0
5 10 15
________
n
C
|X[k]|
|X[k]|
|X[k]|
0
1.5
2
0.5
0
n
1
n
B
4
0
________
5 10 15
-2
5 10 15
n
x[n]
0.5
0
5 10 15
0
1
x[n]
x[n]
x[n]
0
5 10 15
n
1
0.5
0
n
________
0
5 10 15
x[n]
0
n
1
0
|X[k]|
5 10 15
0
-5
-2
|X[k]|
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
0
k
H
1
0
5 10 15
0
k
I
5 10 15
k
J
0
0
5 10 15
0
k
K
0
5 10 15
0
k
L
5 10 15
0
0
5 10 15
k
0.2
0
5 10 15
0
k
N
0.5
0
5 10 15
k
0.6
|X[k]|
1
0
0.4
5 10 15
k
O
2
|X[k]|
|X[k]|
|X[k]|
0.1
0
k
M
1.5
0.2
|X[k]|
0.1
0.8
0.6
0.4
0.2
0
0.4
0.2
0
0
5 10 15
k
|X[k]|
0
0.1
0.05
0.2
|X[k]|
0.5
0.15
|X[k]|
|X[k]|
|X[k]|
1
1
0
0
5 10 15
k
0.1
0.05
0
0
5 10 15
k
Solution of ECE 315 Test 8 F08
________
________
________
4
0
0
________
0
n
A
0
0
0.5
0
k
F
0
5 10 15
________
1
0
0
-1
5 10 15
0
k
G
0
n
D
2
0.04
0.02
0
5 10 15
5 10 15
n
E
0.06
0.5
5 10 15
2
0
-1
5 10 15
1
1
0
5 10 15
________
n
C
|X[k]|
|X[k]|
|X[k]|
0
1.5
2
0.5
0
n
1
n
B
4
0
________
5 10 15
-2
5 10 15
n
x[n]
0.5
0
5 10 15
0
1
x[n]
x[n]
x[n]
0
5 10 15
n
1
0.5
0
n
________
0
5 10 15
x[n]
0
n
1
0
|X[k]|
5 10 15
0
-5
-2
|X[k]|
0
-4
x[n]
5
2
-2
-2
________
2
x[n]
0
________
2
x[n]
x[n]
x[n]
2
0
k
H
1
0
5 10 15
0
k
I
5 10 15
k
J
0
0
5 10 15
0
k
K
0.1
0
5 10 15
0
k
L
5 10 15
0.8
0.6
0.4
0.2
0
0
0
5 10 15
k
0.2
0
5 10 15
0
k
N
0.5
0
5 10 15
k
0.6
|X[k]|
1
0
0.4
5 10 15
k
O
2
|X[k]|
|X[k]|
|X[k]|
0.1
0
k
M
1.5
0.2
|X[k]|
0.05
0.2
0.4
0.2
0
0
5 10 15
k
|X[k]|
0
0.1
|X[k]|
0.5
0.15
|X[k]|
|X[k]|
|X[k]|
1
1
0
0
5 10 15
k
0.1
0.05
0
0
5 10 15
k