Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify your answer to one rational term. 2.2 Plot the pole-zero pattern. Label all relevant points and the two axes properly. 2.3 Find the inverse z-transform of Y(z) if x(n) = u(n) using partial fraction expansion. 2.4 Is the system stable? Explain. h₁(n) = {2,2,1} ↑ n h₂(n) = (¹) (₁ sin = u(n)
Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify your answer to one rational term. 2.2 Plot the pole-zero pattern. Label all relevant points and the two axes properly. 2.3 Find the inverse z-transform of Y(z) if x(n) = u(n) using partial fraction expansion. 2.4 Is the system stable? Explain. h₁(n) = {2,2,1} ↑ n h₂(n) = (¹) (₁ sin = 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
Related questions
Question
![Given the following
h₁(n) = {2, 2, 1}
↑
n
h₂(n)
(2) 2 u(n)
n
2√2
h3(n)
- (21²) `
sin (n) u(n)
=
3
2.1 Determine the system function H(z). Simplify your answer to one rational term.
2.2 Plot the pole-zero pattern. Label all relevant points and the two axes properly.
2.3 Find the inverse z-transform of Y(z) if x(n) = u(n) using partial fraction expansion.
2.4
Is the system stable? Explain.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14ee777e-f297-475f-853f-b3af49b0009c%2Ffd2bf482-2990-44db-b61a-3f7aef3e2d1d%2Fmlfsj9_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following
h₁(n) = {2, 2, 1}
↑
n
h₂(n)
(2) 2 u(n)
n
2√2
h3(n)
- (21²) `
sin (n) u(n)
=
3
2.1 Determine the system function H(z). Simplify your answer to one rational term.
2.2 Plot the pole-zero pattern. Label all relevant points and the two axes properly.
2.3 Find the inverse z-transform of Y(z) if x(n) = u(n) using partial fraction expansion.
2.4
Is the system stable? Explain.
=
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