1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)
1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 79RE
Related questions
Question
![1.
Use the tables to find the z transforms of the following
j. 2n
k. (-3)
1. sin(nπ/2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf556497-e613-4f4b-a188-280991ce40d5%2Fdf0d2823-0a7c-4885-820f-78fe70fd0274%2F8b7x5n5_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Use the tables to find the z transforms of the following
j. 2n
k. (-3)
1. sin(nπ/2)
![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%2Faf556497-e613-4f4b-a188-280991ce40d5%2Fdf0d2823-0a7c-4885-820f-78fe70fd0274%2Feau1bp_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|
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