Obtain the z-transform of the following: x(n)=na" sin(an)u(n)
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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![Obtain the z-transform of the following:
x(n)=na" sin(an)u(n)
X(z)=
X(z)=-
X(z)=-
X(z) =
X(z)=
X(z)=-
O
[az-¹+(az-¹)²] sin(a)
[1-2acos(@)z-¹ + a²z-²1²"
[az-1-(az-1)³] sin(a)
[1-2acos(w)2-¹+ a²z-2]²
[az-1-(az-1)²] sin(a)
[1-2acos(w)z-¹ + a²z-21²¹
[az-¹+ (az-¹)³] sin(a)
[1 −2acos(w)z−¹+ a²z−²1²
[(az-1)2-(az-1)³]sin()
[1-2acos(w)z¹+ a²z-²]²"
[(az-1)²+(az-1)³]sin(@)
[1-2acos(w)2-¹ + a²z-2]²
·|z|>a
|z|>a
|z|>a
. |z|>a
|z|>a
|=| > a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e766121-8d70-43e5-bc44-99fbd4b3fdb6%2Fa3c953fd-2b62-4b87-b556-9b6226737a20%2Fo6jni3_processed.png&w=3840&q=75)
Transcribed Image Text:Obtain the z-transform of the following:
x(n)=na" sin(an)u(n)
X(z)=
X(z)=-
X(z)=-
X(z) =
X(z)=
X(z)=-
O
[az-¹+(az-¹)²] sin(a)
[1-2acos(@)z-¹ + a²z-²1²"
[az-1-(az-1)³] sin(a)
[1-2acos(w)2-¹+ a²z-2]²
[az-1-(az-1)²] sin(a)
[1-2acos(w)z-¹ + a²z-21²¹
[az-¹+ (az-¹)³] sin(a)
[1 −2acos(w)z−¹+ a²z−²1²
[(az-1)2-(az-1)³]sin()
[1-2acos(w)z¹+ a²z-²]²"
[(az-1)²+(az-1)³]sin(@)
[1-2acos(w)2-¹ + a²z-2]²
·|z|>a
|z|>a
|z|>a
. |z|>a
|z|>a
|=| > a
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