EECE 340 Homework 4, Spring 2016
American University of Beirut · Signals and Systems · 4 pages · Prof. Karim Kabalan
More EECE 340 files
- Homework 3 · Spring 2016HomeworkView
- Homework 1 Solution · Spring 2016Homework · with solutionView
- Homework 5 Solution · Spring 2016Homework · with solutionView
- Homework 3 Solution · Spring 2016Homework · with solutionView
- Homework 4 Solution · Spring 2016Homework · with solutionView
- Homework 1 · Spring 2016HomeworkView
- Homework 2 Solution · Spring 2016Homework · with solutionView
- Homework 2 · Spring 2016HomeworkView
Show the text of this homework
AMERICAN UNIVERSITY OF BEIRUT
ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT
EECE 340
Homework IV – Block Diagram System Representation
Solution
Problem 1
Find the transfer function of the following system.
]
] [
[
1
]
1[
7
5
3
1
7
6
5
4
6
2
7
3
5
1
6
2
4
3
2
1
H H H H
H H H H
H H
H H
H
H
H H
H
H H H
TF
Problem 2
Consider the unit feedback system shown below
a. Determine the error signal E(s). (3 pts)
)
K( s
)
)(s
)(s
s
(
)X( s )
)(s
)(s
( s
K
( s )
G
X( s )
E( s )
7
6
4
2
6
4
2
1
K
-
X(t)
Y(t)
Problem 3
The block diagram representation of an LTI system is shown below. Determine the
transfer function of this system.
Using Carson’s rule,
2
3
2
1
1
2
1
3
2
1
2
3
2
1
1
2
1
4
5
G G G H
G G H
1
G G G
G G G H
G G H
1
G
G
)s(
R
)s(
C
Problem 4
The block diagram of a LTI system is shown below
Determine the transfer function of this system
+
+
+
+
+
+
+
R(s)
C(s)
Problem 5
Find the output Y(s) of the LTI system shown below
G N )s(
G G H
G H G H
G G H
G G G
1
G G H
1
G R )s(
G G H
G H G H
G G H
G G G
1
G
G G G
)s(
Y
4
2
3
2
1
2
2
4
1
2
1
3
2
1
1
2
1
4
2
3
2
1
2
2
4
1
2
1
3
2
1
4
3
2
1
Problem 6
For the system shown below, determine the system transfer function
3
2
3
2
3
3 1
2
1
3
3
2
2
1
2
1
3
1
3
2
1
G G H H
G G G H H
G H
G H
G G H
1
G G
G G
G
)s(
R
)s(
C
Problem 7
The block diagram of an LTI system, with input C(s) and output R(s), is shown
below
Determine the system transfer function
6
5
4
2
1
6
5
4
6
5
3
2
5
1
2
5
3
2
G G G G G
G G
G G G G G
1
G G G
G G
G
)s(
C
R )s(
TF