The open-loop transfer function of a discrete system is given by expression: Y(z) U(z) 1 z²z+0.5 Using the Final Value Theorem, determine y(k) = lim z→ 1 [(z − 1) Y(z)] for the following inputs: Discrete Dirac Delta Function: - 5(k) = {1, k = 0 k # 0 Discrete Unit Step Function: (1, 10, u(k)= k≥ 0 k < 0 Discrete exponential function: u(k) = {5e-k! 0, k≥ 0 k < 0

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
The open-loop transfer function of a discrete system
is given by
expression:
Y(z)
1
=
U(z) z² - z+0.5
Using the Final Value Theorem, determine y(k) = lim
z→ 1 [(z − 1) Y(z)] for the following inputs:
Discrete Dirac Delta Function:
k = 0
k # 0
Discrete Unit Step Function:
8(k):
u(k)
=
(1,
=
(1,
10,
k≥0
k < 0
Discrete exponential function:
(5e-k,
k≥ 0
0,
k <0
u(k) -
Transcribed Image Text:The open-loop transfer function of a discrete system is given by expression: Y(z) 1 = U(z) z² - z+0.5 Using the Final Value Theorem, determine y(k) = lim z→ 1 [(z − 1) Y(z)] for the following inputs: Discrete Dirac Delta Function: k = 0 k # 0 Discrete Unit Step Function: 8(k): u(k) = (1, = (1, 10, k≥0 k < 0 Discrete exponential function: (5e-k, k≥ 0 0, k <0 u(k) -
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Different Types of System and Its Property
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,