1. Use the tables to find the z transforms of the following d. e³n e. COS 3n f. sin4n
1. Use the tables to find the z transforms of the following d. e³n e. COS 3n f. sin4n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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%2Faf556497-e613-4f4b-a188-280991ce40d5%2F86f953b1-731d-46ea-9995-06c9fe7bea5e%2Fdwocyjh_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
d. e³n
e. cos 3h
www
f. sin4n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf556497-e613-4f4b-a188-280991ce40d5%2F86f953b1-731d-46ea-9995-06c9fe7bea5e%2Ftjmzgq_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Use the tables to find the z transforms of the following
d. e³n
e. cos 3h
www
f. sin4n
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