ECE 4270 - Summer 2004
Homework Assignment #4
Assigned: June-4-2004
Due Date: June-11-2004
General Note:
Homework is due at class time on the Due Date; no late homework will be accepted.
Make a COVER PAGE for your homework, including your name and GT numb
ECE 4270 - Summer 2004
Homework Assignment #4
Assigned: June-4-2004
Due Date: June-11-2004
General Note:
Homework is due at class time on the Due Date; no late homework will be accepted.
Make a COVER PAGE for your homework, including your name and GT numb
ECE 4270 - Summer 2004 Homework Assignment #3
Assigned: May-26-2004 Due Date: June-2-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT nu
ECE 4270 - Summer 2004 Homework Assignment #3
Assigned: May-26-2004 Due Date: June-2-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT nu
ECE 4270 - Summer 2004 Homework Assignment #1
Assigned: May-12-2004 Due Date: May-19-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT nu
ECE 4270 - Summer 2004 Homework Assignment #1
Assigned: May-12-2004 Due Date: May-19-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT nu
ECE-4270 Quiz #2
June 30, 2004
Prof. B.H. Juang
Student Name: _
Problem 1 (15 pts. ea., 30 pts total, c) is bonus)
a)
0
0
2
Fcfw_cos(n / 2)
= (
k
2
+ 2k ) + ( +
s = 3 0
2
x c (t )
+ 2k )
H 1 ( e j )
C/D
s = 4 0
4
cos(n / 2)
H 1 (e )
0
2
2
2
2
H 2 (e j
ECE4270, Oeteber 20, 2000: Qais #2 ' 2
Preblern 1: (30%)
A causal LTI system has system funetien
_. I -
1.28:3-2 2 e- - . 1'
(a) Determine A and B in the partial fraetien eapansien ef H(s) and frem it determine the
impulse respense Simplify year answe
Problem 1 (30 points)
Signals x[n] and y[n] below form an input-output pair of a causal LTI system.
1
x[n]
n=0
1
-1
a)
b)
c)
1
y[n]
n
2
1
n=0
-2
(10 pts) Find the impulse response h[n] of the LTI system;
(10 pts) Find the frequency response of the system;
Problem 1 (30 points)
Signals x[n] and y[n] below form an input-output pair of a causal LTI system.
1
x[n]
n=0
1
-1
a)
b)
c)
1
y[n]
n
2
1
n=0
-2
(10 pts) Find the impulse response h[n] of the LTI system;
(10 pts) Find the frequency response of the system;
Pop Quiz #2 (20 min.)
2
1
y[n 1] y[n 2] + x[n]
A causal LTI system is defined by the following difference equation y[ n] =
2
4
a)
Find H ( z ) , the system function;
b)
Find h[n] , the corresponding impulse response;
c)
Find the system output yu[n], for n
Name: _
Pop Quiz 1
Signals x[n] and y[n] below form an input-output pair of a causal LTI system.
x[n]
1
n=0
-1
a)
b)
c)
n
1
y[n]
n=0 1
1
n
-1
Find the impulse response h[n] of the LTI system;
Find the frequency response of the LTI system.
Analysis (covere
_1
5.21. h;p[n] is an ideal lowpass lter with w 4
(a) yin] = zln] - sin] * lupin] => Hie) = 1 one)
This is a. highpass lter.
.11 4:14 0 M4 It to
(h) m[n] is rst modulated by r, lowpass ltered, and demodulated by 7r. Therefore, £11,451) lte
2.44. (a) _ u,
X()Iuao z 1[n]e'i"|u_o
1..-
W
Z 2M
hlOO
6
(b) . .9
X(e)la=. = Z .c[n]e""
= ; 2W4)"
= 2
H
I!
ll
1 :c[n] is symmetric about 11 = 2 this signal has. linear phme.
Mei") = Ame-1"
A(w) is a zero phase (teal) function of «2. Hence,
£X(
ECE 4270 - Summer 2004 Homework Assignment #9
Assigned: July-15-2004 Due Date: July-21-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT
ECE 4270 - Summer 2004 Homework Assignment #9
Assigned: July-15-2004 Due Date: July-21-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT
ECE 4270 - Summer 2004 Homework Assignment #8
Assigned: June-30-2004 Due Date: July-14-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT
ECE 4270 - Summer 2004 Homework Assignment #8
Assigned: June-30-2004 Due Date: July-14-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT
ECE 4270 - Summer 2004 Homework Assignment #7
Assigned: June-23-2004 Due Date: June-30-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT
ECE 4270 - Summer 2004 Homework Assignment #7
Assigned: June-23-2004 Due Date: June-30-2004
General Note:
Homework is due at class time on the "Due Date"; no late homework will be accepted. Make a COVER PAGE for your homework, including your name and GT