1. Use the tables to find the z transforms of the following m. cos(n+/2) www n. (-2) o. -(2)
1. Use the tables to find the z transforms of the following m. cos(n+/2) www n. (-2) o. -(2)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 79RE
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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|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04651346-1f6a-40e3-96d0-ad36238fb576%2Ff1e2d744-7b73-479d-b1cf-020622f6bdaf%2Ftkmnd8_processed.png&w=3840&q=75)
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|
![1.
Use the tables to find the z transforms of the following
m. cos(nπ/2)
www
n. (-2)
O. -(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04651346-1f6a-40e3-96d0-ad36238fb576%2Ff1e2d744-7b73-479d-b1cf-020622f6bdaf%2Fscgb3xg_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Use the tables to find the z transforms of the following
m. cos(nπ/2)
www
n. (-2)
O. -(2)
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