HW6.2 A Close and Normal Family Find the CTFT X(w) of x(t), where 1 +2 Vt Є R, x(t) = exp σπ 202 and σ > 0. You may or may not find it useful to know that (i) tg(t)jdG(w) (ii) [*** x(t)dt = 1 (iii) (iv) L udv=uv - v du a a S. 1 dG(X) G(A) dA 2dX = In G(w)|||
HW6.2 A Close and Normal Family Find the CTFT X(w) of x(t), where 1 +2 Vt Є R, x(t) = exp σπ 202 and σ > 0. You may or may not find it useful to know that (i) tg(t)jdG(w) (ii) [*** x(t)dt = 1 (iii) (iv) L udv=uv - v du a a S. 1 dG(X) G(A) dA 2dX = In G(w)|||
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
![HW6.2 A Close and Normal Family Find the CTFT X (w) of x(t), where
1
Vt Є R, x(t)
t2
=
exp
σ2π
202
and σ > 0. You may or may not find it useful to know that
(i) tg(t)dG(w)
+∞
dw
| x(t) dt = 1
-8
Lude
v du
(ii)
(iii)
udv = uv
- Lvd
a
(iv) So
S.
1 dG(X)
G(A) dA
-dX =
In G(w)
Hint: Take the derivative of the given equation for x(t) and use the CTFT properties
and the above hints to take the Fourier transform of both sides.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ec99b66-acf3-492e-a494-05a1857e861e%2F6d6120b4-2f3c-492c-8695-91878cc91e4a%2Fri1skkl_processed.png&w=3840&q=75)
Transcribed Image Text:HW6.2 A Close and Normal Family Find the CTFT X (w) of x(t), where
1
Vt Є R, x(t)
t2
=
exp
σ2π
202
and σ > 0. You may or may not find it useful to know that
(i) tg(t)dG(w)
+∞
dw
| x(t) dt = 1
-8
Lude
v du
(ii)
(iii)
udv = uv
- Lvd
a
(iv) So
S.
1 dG(X)
G(A) dA
-dX =
In G(w)
Hint: Take the derivative of the given equation for x(t) and use the CTFT properties
and the above hints to take the Fourier transform of both sides.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,