1. The Fourier transform of f(t) = F(w) = e-alwl = F(w) 10 5 -60 -aw where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = e w≥0 a TT eaw, w<0 a t²+a² -40 is given by -20 اليا 20 40 60 a) Find and plot the Fourier transform G(o) of g(t) = f(t)ej25t for -60 ≤ ≤ 60. b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos(25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co).

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
1. The Fourier transform of f(t) =
F(w) = e-alw|
10
F(w)
5
=
-60
a
where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) =
=
t² + a²
e-aw, w 20
w <0
-40
is given by
-20
0
ليا
20
40
RIC
60
(a) Find and plot the Fourier transform G(o) of g(t) = f(t)ei25t for -60 ≤ ≤ 60.
(b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos (25t) for -60 ≤ ≤ 60.
c) Find the 3 dB bandwidth of F(co).
d) Find the 3 dB bandwidth of H(o).
Transcribed Image Text:1. The Fourier transform of f(t) = F(w) = e-alw| 10 F(w) 5 = -60 a where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = t² + a² e-aw, w 20 w <0 -40 is given by -20 0 ليا 20 40 RIC 60 (a) Find and plot the Fourier transform G(o) of g(t) = f(t)ei25t for -60 ≤ ≤ 60. (b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos (25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co). d) Find the 3 dB bandwidth of H(o).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 21 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,