Let X(k) = [1+ j2 - 2+ j1 -1- j2 2- j1] represents a DFT sequence in the discrete frequency domain. 1) Compute the amplitude, phase, and power spectrum and plot them clearly. 2) Usc the decimation-in-time (DIT) (Radix-2 Butterfly 4-points inverse Fast Fourier Transform (IFFT)) to evaluate the discrete-time samples x(n) associated with the above points. 3) Use the direct definition of inverse discrete Fourier transform (IDFT) to evaluate x(n) for n = 3 only, i.e. x(3).

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
Let X(k) = [1 + j2 -2+ j1
discrete frequency domain.
1) Compute the amplitude, phase, and power spectrum and plot them clearly.
2) Use the decimation-in-time (DIT) (Radix-2 Butterfly 4-points inverse Fast Fourier
Transform (IFFT)) to evaluate the discrete-time samples x(n) associated with the
above points.
3) Use the direct definition of inverse discrete Fourier transform (IDFT) to evaluate x(n)
for n = 3 only, i.e. x(3).
-1- j2 2- j1] represents a DFT sequence in the
Transcribed Image Text:Let X(k) = [1 + j2 -2+ j1 discrete frequency domain. 1) Compute the amplitude, phase, and power spectrum and plot them clearly. 2) Use the decimation-in-time (DIT) (Radix-2 Butterfly 4-points inverse Fast Fourier Transform (IFFT)) to evaluate the discrete-time samples x(n) associated with the above points. 3) Use the direct definition of inverse discrete Fourier transform (IDFT) to evaluate x(n) for n = 3 only, i.e. x(3). -1- j2 2- j1] represents a DFT sequence in the
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Continuous Time Fourier Transform of Signal
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,