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
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
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,