Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Suppose we know the system function H(z) of a discrete-time LTI system has a pair , double poles at p3 = P4 = -2, of complex-conjugate poles at pi 0.4e¹ and p2 0.4e = two zeros at z1 = 1,22 = − 1, and double zeros at the origin z3 = z4 = 0. (a) What is the expression for H(z)? (b) Suppose h(n) = Z-¹ [H(2)] is a causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable? = (c) Suppose h(n) = Z-¹[H(z)] is an anti-causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable?

Suppose we know the system function H(z) of a discrete-time LTI system has a pair , double poles at p3 = P4 = -2, of complex-conjugate poles at pi 0.4e¹ and p2 0.4e = two zeros at z1 = 1,22 = − 1, and double zeros at the origin z3 = z4 = 0. (a) What is the expression for H(z)? (b) Suppose h(n) = Z-¹ [H(2)] is a causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable? = (c) Suppose h(n) = Z-¹[H(z)] is an anti-causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question
Suppose we know the system function H(z) of a discrete-time LTI system has a pair of complex-conjugate poles at p₁ = = 0.4e¹ and p2 = 0.4e-15, double poles at p3 = P4 = −2, two zeros at 2₁ = 1,22 = -1, and double zeros at the origin z3 = 24 = 0. (a) What is the expression for H(z)? (b) Suppose h(n) = Z−¹[H(z)] is a causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable? (c) Suppose h(n) = Z−¹[H(z)] is an anti-causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable?
Transcribed Image Text:Suppose we know the system function H(z) of a discrete-time LTI system has a pair of complex-conjugate poles at p₁ = = 0.4e¹ and p2 = 0.4e-15, double poles at p3 = P4 = −2, two zeros at 2₁ = 1,22 = -1, and double zeros at the origin z3 = 24 = 0. (a) What is the expression for H(z)? (b) Suppose h(n) = Z−¹[H(z)] is a causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable? (c) Suppose h(n) = Z−¹[H(z)] is an anti-causal system. What is ROC of H(z)? Determine h(n). Is the system BIBO stable?
(d) Suppose h(n) = Z−¹[H(z)] is a BIBO stable system. What is ROC of H(z)? Determine h(n). Hint: You can determine h(n) up to a constant.
Transcribed Image Text:(d) Suppose h(n) = Z−¹[H(z)] is a BIBO stable system. What is ROC of H(z)? Determine h(n). Hint: You can determine h(n) up to a constant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Rectangular coordinate system
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS