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)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
icon
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.
=
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. =
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage