3. A discrete linear time-invariant system has an impulse response given by (0.5)-1 [n 21 h(n) n<1 0 The difference equation representation for the system is (A) y(n)0.5(n-1) (B) (n)n)+0.5y(n) у(п) — (п — 1) + 0.5y(п — 1) (D) y(n)0.5an)y(n-1) 3. Let h(n) (0.5)". From a table of z-transform pairs, 1 h'(2) 1 - 0.521 Using the shift property, since h(n) h'(n-1), H(2)= H(2) -1 Z Y(z) H(z) 1 X(z) 1 - 0.5z = 2X(2) Y(2) 0.5 Y(z)z Take the inverse z-transform of this expression у(п) - 0.5у(п — 1) %3 z(п- 1) y(n) (n- )0.5y(n- 1) The answer is (C).
3. A discrete linear time-invariant system has an impulse response given by (0.5)-1 [n 21 h(n) n<1 0 The difference equation representation for the system is (A) y(n)0.5(n-1) (B) (n)n)+0.5y(n) у(п) — (п — 1) + 0.5y(п — 1) (D) y(n)0.5an)y(n-1) 3. Let h(n) (0.5)". From a table of z-transform pairs, 1 h'(2) 1 - 0.521 Using the shift property, since h(n) h'(n-1), H(2)= H(2) -1 Z Y(z) H(z) 1 X(z) 1 - 0.5z = 2X(2) Y(2) 0.5 Y(z)z Take the inverse z-transform of this expression у(п) - 0.5у(п — 1) %3 z(п- 1) y(n) (n- )0.5y(n- 1) The answer is (C).
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...
Related questions
Question
Hi,
the attached image shows a question and its answer but still, I couldn't understand it please simply explain it
Transcribed Image Text:3. A discrete linear time-invariant system has an
impulse response given by
(0.5)-1
[n 21
h(n)
n<1
0
The difference equation representation for the system is
(A) y(n)0.5(n-1)
(B) (n)n)+0.5y(n)
у(п) — (п — 1) + 0.5y(п — 1)
(D) y(n)0.5an)y(n-1)
3. Let h(n) (0.5)". From a table of z-transform pairs,
1
h'(2)
1 - 0.521
Using the shift property, since h(n) h'(n-1), H(2)=
H(2)
-1
Z
Y(z)
H(z)
1
X(z)
1 - 0.5z
= 2X(2)
Y(2) 0.5 Y(z)z
Take the inverse z-transform of this expression
у(п) - 0.5у(п — 1) %3 z(п- 1)
y(n) (n- )0.5y(n- 1)
The answer is (C).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
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)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,