Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Compute the inverse Fourier transform for X()=sin²30

Compute the inverse Fourier transform for X()=sin²30

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

I need help with Question 3. Please show all work. 

3. Compute the inverse Fourier transform for X(@)=sin ²300 4. Compute the unit-pulse response h[n] for the discrete-time system y[n+ 2] - 2y[n+ 1] + y[n] = x[n] (for n = 0, 1, 2, 3).
Transcribed Image Text:3. Compute the inverse Fourier transform for X(@)=sin ²300 4. Compute the unit-pulse response h[n] for the discrete-time system y[n+ 2] - 2y[n+ 1] + y[n] = x[n] (for n = 0, 1, 2, 3).
Expert Solution
Step 1 - Introduction

The above question uses standard Fourier transforms given below.

Note that δ(x) denotes the impulse or Dirac delta function.

We use the results that

  1. Fourier Transform of 1 is 2πδ(ω)
  2. Fourier transform of ejat is 2πδ(ω-a)

Also, a constant gets scaled in Fourier Transform correspondingly.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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.
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