Use the tables to find the inverse z transforms of the following b. N Z-3 C. w 2z Z+5 d. w 3z Z-2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Table 2: Some
common z-
transform pairs
Signal, x(n)
8(n)
u(n)
a" u(n)
na"u(n)
-a"u(-n-1)
-na" u(-n-1)
(coswon)u(n)
(sin won)u(n)
(a" coswon)u(n)
(a" sin won)u(n)
z-Transform, X(z)
1
1
1-z-1
1
1-az-1
az-1
(1-az-1)²
1
1-az
az-1
(1-az-1)2
1-z-1,
1-2z-1 coswo+z-2
Coswo
z-1 sin wo
1-2z-1 coswo+z-2
1-az-¹ coswo
1-2az-1 coswo+a²z-²
az-1 sin wo
1-2az-1 coswo+a²z-²
ROC
All z
z > 1
|z| > |a|
|z| > |a|
|z| < |a|
|z| < |a|
|z|>1
z > 1
|z| > |a|
|z| > |a|
Transcribed Image Text:Table 2: Some common z- transform pairs Signal, x(n) 8(n) u(n) a" u(n) na"u(n) -a"u(-n-1) -na" u(-n-1) (coswon)u(n) (sin won)u(n) (a" coswon)u(n) (a" sin won)u(n) z-Transform, X(z) 1 1 1-z-1 1 1-az-1 az-1 (1-az-1)² 1 1-az az-1 (1-az-1)2 1-z-1, 1-2z-1 coswo+z-2 Coswo z-1 sin wo 1-2z-1 coswo+z-2 1-az-¹ coswo 1-2az-1 coswo+a²z-² az-1 sin wo 1-2az-1 coswo+a²z-² ROC All z z > 1 |z| > |a| |z| > |a| |z| < |a| |z| < |a| |z|>1 z > 1 |z| > |a| |z| > |a|
2.
Use the tables to find the inverse z transforms of the following
b.
Z
Z-3
C.
2z
z+5
d.
3z
Z-2
Transcribed Image Text:2. Use the tables to find the inverse z transforms of the following b. Z Z-3 C. 2z z+5 d. 3z Z-2
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