Given that the Fourier transform of x (t) = e-tu(t) is X(w) = = 1. y(t) = e−²tx(t) + cos(3t)x(t) 2. y(t) = tx(t− 1) 1 jw + 1 use the Fourier transform properties to compute the Fourier transforms of the following functions. Note: You are only allowed to use the Fourier transform of x(t) above. No other Fourier transform pairs can be used.

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

Q2

Note: You are only allowed to use the Fourier transform of ?(?) above. No other Fourier
transform pairs can be used.

Given that the Fourier transform of x (t) = e¯tu(t) is
1
jw + 1
X(w)
=
use the Fourier transform properties to compute the Fourier transforms of the following
functions.
1. y(t) = e−²tx(t) + cos(3t)x(t)
2. y(t) = tx(t − 1)
Note: You are only allowed to use the Fourier transform of x(t) above. No other Fourier
transform pairs can be used.
Transcribed Image Text:Given that the Fourier transform of x (t) = e¯tu(t) is 1 jw + 1 X(w) = use the Fourier transform properties to compute the Fourier transforms of the following functions. 1. y(t) = e−²tx(t) + cos(3t)x(t) 2. y(t) = tx(t − 1) Note: You are only allowed to use the Fourier transform of x(t) above. No other Fourier transform pairs can be used.
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

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,