This preview shows page 1. Sign up to view the full content.
EE 341, Spring 2011
Problem Set 3:
Due by 9:30am, Tuesday, April 19
Problem 1
Consider discretetime LTI systems with input[]
x n
and output[]
yn
, defined by parts ac below.
For each of these systems, find the unit impulse response[]
hn
. In addition, determine, for each of
the parts ac, if the system is causal and determine if the system is stable.
a) []
2
[ 1
]
n
nk
k
xk
b)
2
12
1
1
1
[ ]
[
]
(a movingaverage system)
M
MM
kM
xn k
c)
[] 0
.
1[ 1
] []
,
0
(a differenceequation system which is initially at rest)
[ ]
0,
0
xn
n
n
Problem 2
Oppenheim, Willsky and Nawab, 2.21 (a), (c) and (d). For parts (a) and (c), find the expression
for
[]
y n
in closedform (without summation signs). For part (d), you may draw
y n
.
Problem 3
Oppenheim, Willsky and Nawab, 2.25 (b).
This is the end of the preview. Sign up
to
access the rest of the document.
This document was uploaded on 07/08/2011.
 Spring '09

Click to edit the document details