This preview shows page 1. Sign up to view the full content.
ECEN 487
QUIZ 3
NAME:___________KEY_________________________
1.
Use Cauchey’s residue theorem to compute the stable inverse
z
transform of
X
(
z
) =
(
z
"
2)(
z
"
#
)
(
z
"
1
2
)(
z
"
5)(
z
+
7)(
z
+
3)
for
n
> 0
only.
For
n
> 0 there is one pole of
X
(
z
)
z
n
1
enclosed by
C
: 
z
 = 1.
x
[
This is the end of the preview. Sign up
to
access the rest of the document.
Unformatted text preview: n ] = res ( z " 2)( z " ) z n " 1 ( z " 1 2 )( z " 5)( z + 7)( z + 3) $ % & ’ & ( ) & * & z = 1/2 for n > 0, = ( 1 2 " 2)( 1 2 " )( 1 2 ) n " 1 ( 1 2 " 5)( 1 2 + 7)( 1 2 + 3) for n > 0, = " 0.0671( 1 2 ) n u ( n " 1)...
View
Full
Document
This note was uploaded on 03/16/2012 for the course ECEN 487 taught by Professor Dr.brianjeffs during the Winter '12 term at BYU.
 Winter '12
 Dr.BrianJeffs

Click to edit the document details