Question 3: Find the initial value of the sequence {rn} having the Z-transform: 22(z – 3) (2² – 2z + 1)(z – 2) (a) F(z) — (b) F(z) = (z + 1)(z + 2)(z + 3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 3: Find the initial value of the sequence {xn} having the
z-transform:
2²(z – 3)
(z² – 2z + 1)(z – 2)
(a) F(2) =
22
(b) F(z) =
(z + 1)(z + 2)(z + 3)
Transcribed Image Text:Question 3: Find the initial value of the sequence {xn} having the z-transform: 2²(z – 3) (z² – 2z + 1)(z – 2) (a) F(2) = 22 (b) F(z) = (z + 1)(z + 2)(z + 3)
Question 2: Find the inverse z-transform of the following:
22
(a) F(z) =
2 – 3z + z2
22 + z
(b) F(z) =
(z – 1)(z² + 1)
1
(c) F(z) =
(1 – z-1)(2 – z-1)"
422 – 2z
(d) F(z)
23 – 522 + 8z + 4°
Transcribed Image Text:Question 2: Find the inverse z-transform of the following: 22 (a) F(z) = 2 – 3z + z2 22 + z (b) F(z) = (z – 1)(z² + 1) 1 (c) F(z) = (1 – z-1)(2 – z-1)" 422 – 2z (d) F(z) 23 – 522 + 8z + 4°
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