Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
The goal of this problem is to show how the conjugate symmetry relation x = x*can greatly simplify the computation of DTFS from the coefficients. Let x[n] have a DTFS with coefficients xk = cos(πk/4)+ sin(3πk/4). Note that X are real-valued, but not a symmetric function of index k. (a) Explain why x[n] has period No = 8. (d) Compute the average powers in the time and frequency domains. Confirm that they agree.

The goal of this problem is to show how the conjugate symmetry relation x = x*can greatly simplify the computation of DTFS from the coefficients. Let x[n] have a DTFS with coefficients xk = cos(πk/4)+ sin(3πk/4). Note that X are real-valued, but not a symmetric function of index k. (a) Explain why x[n] has period No = 8. (d) Compute the average powers in the time and frequency domains. Confirm that they agree.

Introductory Circuit Analysis (13th Edition)
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...
See similar textbooks
icon
Related questions
Question
The goal of this problem is to show how the conjugate symmetry relation x = x*can greatly simplify the computation of DTFS from the coefficients. Let x[n] have a DTFS with coefficients xk = cos(πk/4)+ sin(3πk/4). Note that X are real-valued, but not a symmetric function of index k. (a) Explain why x[n] has period No = 8. (d) Compute the average powers in the time and frequency domains. Confirm that they agree.
Transcribed Image Text:The goal of this problem is to show how the conjugate symmetry relation x = x*can greatly simplify the computation of DTFS from the coefficients. Let x[n] have a DTFS with coefficients xk = cos(πk/4)+ sin(3πk/4). Note that X are real-valued, but not a symmetric function of index k. (a) Explain why x[n] has period No = 8. (d) Compute the average powers in the time and frequency domains. Confirm that they agree.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS