EX: Find the Z. T. of X(X) = cas wok u(k) 8 iwok -iwok Sol:- X(Z) = - IN Σ coswok. Z k=o == {(² z ¹² k=o 2 -k -iwo wo ie² = ¹)² + ε ( 2². z ¹)^ ] k=o [] + i Wo 1 - - Z -1 -iwas 2 1-Z¹ (1+0) - 2² Z Ele (e te 2 k=o 2 Z-Z ces Wo हे? i Wo e te -2Z COSWO +1 Z
EX: Find the Z. T. of X(X) = cas wok u(k) 8 iwok -iwok Sol:- X(Z) = - IN Σ coswok. Z k=o == {(² z ¹² k=o 2 -k -iwo wo ie² = ¹)² + ε ( 2². z ¹)^ ] k=o [] + i Wo 1 - - Z -1 -iwas 2 1-Z¹ (1+0) - 2² Z Ele (e te 2 k=o 2 Z-Z ces Wo हे? i Wo e te -2Z COSWO +1 Z
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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![EX: Find the Z. T. of X(K) = caswak u(k)
∞
iwok -iwok
∞
-k
~Sels- X(Z) = { coswok. Zk = < (² + e) zk
2
K=o
k=o
=
Wo
- iWo
- + [2( ²² 2¹² +2 (²².²)*]
2
1
11
-
1
2
[]
i Wo.
iWo
z' ('evo +
wo ei was
2
2
Z
2
2-
1-Z' (w
e
1
Z ces Wo
-IW. -1
+ (wo) - Z²
- 2Z COSWo + 1
How did he get the
value inside the circle](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd7fc37e-4457-4bbb-b9e3-22e89c2f5bc0%2F62294dee-569c-4722-81b7-f23a406a9b0c%2Fgyncuqc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EX: Find the Z. T. of X(K) = caswak u(k)
∞
iwok -iwok
∞
-k
~Sels- X(Z) = { coswok. Zk = < (² + e) zk
2
K=o
k=o
=
Wo
- iWo
- + [2( ²² 2¹² +2 (²².²)*]
2
1
11
-
1
2
[]
i Wo.
iWo
z' ('evo +
wo ei was
2
2
Z
2
2-
1-Z' (w
e
1
Z ces Wo
-IW. -1
+ (wo) - Z²
- 2Z COSWo + 1
How did he get the
value inside the circle
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