Suppose we have the following discrete time signal: x[n] = 2(0.8)¹u[n - 1] Let X10 [k] represent the 10-point DFT of x[n] over the range n=0,1,2,...,9 and define x 10 [n] as the inverse DFT of X10 [k]. (a) Find X10 [0] (b) Find 10 [5], 10[10], 10[15], 10[20], 10 [25] Now suppose we have the following discrete time signal: w[n] = (2(0.8)-u[n-1] 0 ≤ n < 10 0 otherwise Let W20[k] represent the 20-point DFT of w[n] and define W20 [n] as the inverse DFT of W20 [k]. (c) Find W20 [0]
Suppose we have the following discrete time signal: x[n] = 2(0.8)¹u[n - 1] Let X10 [k] represent the 10-point DFT of x[n] over the range n=0,1,2,...,9 and define x 10 [n] as the inverse DFT of X10 [k]. (a) Find X10 [0] (b) Find 10 [5], 10[10], 10[15], 10[20], 10 [25] Now suppose we have the following discrete time signal: w[n] = (2(0.8)-u[n-1] 0 ≤ n < 10 0 otherwise Let W20[k] represent the 20-point DFT of w[n] and define W20 [n] as the inverse DFT of W20 [k]. (c) Find W20 [0]
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
![Suppose we have the following discrete time signal:
x[n] = 2(0.8)¹-¹u[n − 1]
Let X₁0[k] represent the 10-point DFT of x [n] over the range n=0,1,2,...,9 and define x₁0 [n] as the
inverse DFT of X10[k].
(a) Find X₁0 [0]
(b) Find X10 [5], X10 [10], X10 [15], X10 [20], X10 [25]
Now suppose we have the following discrete time signal:
w[n] = {2(0.
[2(0.8)n-¹u[n 1] 0≤n<10
0
otherwise
Let W₂0[k] represent the 20-point DFT of w[n] and define W20 [n] as the inverse DFT of W₂0[k].
(c) Find W₂0 [0]
(d) Find W₂0 [5], W20 [10], W₂0 [15], W20 [20], W20 [25]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F297b6cc0-b6a4-47ae-ae68-cfcdaa300e1e%2F0bd64d16-e345-4e2b-85e1-36ba4325bcbe%2F7cufn1m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose we have the following discrete time signal:
x[n] = 2(0.8)¹-¹u[n − 1]
Let X₁0[k] represent the 10-point DFT of x [n] over the range n=0,1,2,...,9 and define x₁0 [n] as the
inverse DFT of X10[k].
(a) Find X₁0 [0]
(b) Find X10 [5], X10 [10], X10 [15], X10 [20], X10 [25]
Now suppose we have the following discrete time signal:
w[n] = {2(0.
[2(0.8)n-¹u[n 1] 0≤n<10
0
otherwise
Let W₂0[k] represent the 20-point DFT of w[n] and define W20 [n] as the inverse DFT of W₂0[k].
(c) Find W₂0 [0]
(d) Find W₂0 [5], W20 [10], W₂0 [15], W20 [20], W20 [25]
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.
Step by step
Solved in 4 steps with 12 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,