Q6) A signal x(t) with Fourier Transform X(w) = 4 sinc(2w) (shown below) is the input to a system h(t) with |H(w)| shown below. Let y(t) be the output of this system. X(w) 4 a) What is the value of |Y(0)|? EN |H(w)| f) Sketch |Y(w)| 2 -3π/2 -π/2 0 π/2 EN 3π/2 W b) What is the value of |Y(w)| when w=π/4 rad/s? c) What is the value of |Y(w)| when w=3π/4 rad/s? d) What is the value of |Y(w)| when w=5π/4 rad/s? e) What is the value of |Y(w)| when w=2π rad/s?

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
Q6) A signal x(t) with Fourier Transform X(w) = 4 sinc(2w) (shown below) is the input to a system h(t)
with |H(w)| shown below. Let y(t) be the output of this system.
X(w) 4
a) What is the value of |Y(0)|?
EN
|H(w)|
f) Sketch |Y(w)|
2
-3π/2 -π/2 0 π/2
EN
3π/2
W
b) What is the value of |Y(w)| when w=π/4 rad/s?
c) What is the value of |Y(w)| when w=3π/4 rad/s?
d) What is the value of |Y(w)| when w=5π/4 rad/s?
e) What is the value of IY(w)| when w=2π rad/s?
Transcribed Image Text:Q6) A signal x(t) with Fourier Transform X(w) = 4 sinc(2w) (shown below) is the input to a system h(t) with |H(w)| shown below. Let y(t) be the output of this system. X(w) 4 a) What is the value of |Y(0)|? EN |H(w)| f) Sketch |Y(w)| 2 -3π/2 -π/2 0 π/2 EN 3π/2 W b) What is the value of |Y(w)| when w=π/4 rad/s? c) What is the value of |Y(w)| when w=3π/4 rad/s? d) What is the value of |Y(w)| when w=5π/4 rad/s? e) What is the value of IY(w)| when w=2π rad/s?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete-Time Fourier Transform (DTFT)
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,