When the input to an LTI system is (). x[n] = u[n] + (2)"u[-n –- 1], the corresponding output is ()' y[n] = 5 u[n] – 5 u[n]. (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and indicate the region of convergence. (b) Find the impulse response h{n] of the system. (c) Write a difference equation that is satisfied by the given input and output. (d) Is the svstem stable? Is it causal?

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...
icon
Related questions
Question
When the input to an LTI system is
x[n] =
u[n] + (2)"u[-n - 1],
the corresponding output is
y[n] = 5
u[n] – 5
u[n].
3
(a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and
indicate the region of convergence.
(b) Find the impulse response h[n] of the system.
(c) Write a difference equation that is satisfied by the given input and output.
(d) Is the system stable? Is it causal?
Transcribed Image Text:When the input to an LTI system is x[n] = u[n] + (2)"u[-n - 1], the corresponding output is y[n] = 5 u[n] – 5 u[n]. 3 (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and indicate the region of convergence. (b) Find the impulse response h[n] of the system. (c) Write a difference equation that is satisfied by the given input and output. (d) Is the system stable? Is it causal?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Routh Hurwitz Criteria
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.
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,