Electrical Engineering (EE) Exam > Electrical Engineering (EE) Notes > Signals and Systems > Inverse Discrete Time Fourier Transform
Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE) PDF Download
Inverse DTFT :
DTFT of a discrete periodic signal x[n] by period N is given by :
:
The Fourier coefficients of this periodic function are given by
The above equation is referred as Inverse DTFT equation .
Inverse DTFT equation : 
Now ,
x[-n] is the nth Fourier series co-efficient of 
Now,
can be interpreted as X(ω) multifplied by the vector of ejωn and summed over
Now inverse DTFT for the cross co-relation between sequences x[n] and h[n] can be written as :
i.e dot product of sequences x[n] and h[n] = dot product of DTFT's of x[n] and h[n] . in particular put x[n] =h[n] , then
The above is Parseval's relation for discrete time periodic signals .
here 
isthe total energy in x['] and 
is the energy spectral density of x['].
Conclusion:
In this lecture you have learnt:
- DTFT is periodic in ω with period 2π and also , the I-DTFT is periodic in ω with period 2π .
- THE DTFT
- Parseval's Relation for Discrete periodic signals :
The document Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE) is a part of the Electrical Engineering (EE) Course Signals and Systems.
All you need of Electrical Engineering (EE) at this link: Electrical Engineering (EE)
|
41 videos|52 docs|33 tests
|
FAQs on Inverse Discrete Time Fourier Transform - Signals and Systems - Electrical Engineering (EE)
| 1. What is the inverse discrete-time Fourier transform? |  |
Ans. The inverse discrete-time Fourier transform (IDTFT) is a mathematical operation that converts a discrete-time frequency domain representation of a signal into its corresponding time domain representation. It is the reverse process of the discrete-time Fourier transform (DTFT).
| 2. How is the inverse discrete-time Fourier transform different from the Fourier transform? | |
Ans. The Fourier transform converts a time domain signal into its frequency domain representation, while the inverse discrete-time Fourier transform converts a frequency domain representation of a discrete-time signal back into its time domain representation. The Fourier transform is continuous in nature, while the IDTFT deals with discrete-time signals.
| 3. What is the significance of the inverse discrete-time Fourier transform in signal processing? | |
Ans. The inverse discrete-time Fourier transform is widely used in signal processing to analyze and manipulate discrete-time signals in the frequency domain. It allows us to reconstruct the original signal from its frequency components, enabling various applications such as filtering, modulation, and spectral analysis.
| 4. How is the inverse discrete-time Fourier transform computed? | |
Ans. The inverse discrete-time Fourier transform can be computed using the formula:
x[n] = (1/N) * Σ(X[k] * e^(j2πnk/N))
where x[n] is the time domain signal, X[k] is the frequency domain representation, N is the length of the signal, and j is the imaginary unit.
| 5. What are the properties of the inverse discrete-time Fourier transform? | |
Ans. Some important properties of the inverse discrete-time Fourier transform include linearity, time shifting, time reversal, and frequency shifting. Linearity implies that the inverse transform of a sum of signals is equal to the sum of their individual inverse transforms. Time shifting corresponds to shifting the time domain signal without affecting its frequency domain representation. Time reversal flips the time domain signal, while frequency shifting alters the phase of the frequency components.
About this Document
|
4.97/5 Rating |
|
Nov 16, 2024 Last updated |
Document Description: Inverse Discrete Time Fourier Transform for Electrical Engineering (EE) 2024 is part of Signals and Systems preparation.
The notes and questions for Inverse Discrete Time Fourier Transform have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Inverse Discrete Time Fourier Transform covers topics
like and Inverse Discrete Time Fourier Transform Example, for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Inverse Discrete Time Fourier Transform.
Introduction of Inverse Discrete Time Fourier Transform in English is available as part of our Signals and Systems
for Electrical Engineering (EE) & Inverse Discrete Time Fourier Transform in Hindi for Signals and Systems course.
Download more important topics related with notes, lectures and mock test series for Electrical Engineering (EE)
Exam by signing up for free. Electrical Engineering (EE): Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE)
Description
Full syllabus notes, lecture & questions for Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE) - Electrical Engineering (EE) | Plus excerises question with solution to help you revise complete syllabus for Signals and Systems | Best notes, free PDF download
Information about Inverse Discrete Time Fourier Transform
In this doc you can find the meaning of Inverse Discrete Time Fourier Transform defined & explained in the simplest way possible. Besides explaining types of
Inverse Discrete Time Fourier Transform theory, EduRev gives you an ample number of questions to practice Inverse Discrete Time Fourier Transform tests, examples and also practice Electrical Engineering (EE)
tests
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE)
,Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE)
,practice quizzes
,Extra Questions
,MCQs
,Important questions
,shortcuts and tricks
,Semester Notes
,ppt
,Previous Year Questions with Solutions
,Exam
,Inverse Discrete Time Fourier Transform | Signals and Systems - Electrical Engineering (EE)
,Free
,video lectures
,Objective type Questions
,past year papers
,Viva Questions
,study material
,Summary
,Sample Paper
,mock tests for examination
;
Additional Information about Inverse Discrete Time Fourier Transform for Electrical Engineering (EE) Preparation
Inverse Discrete Time Fourier Transform Free PDF Download
The Inverse Discrete Time Fourier Transform is an invaluable resource that delves deep into the core of the Electrical Engineering (EE) exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Inverse Discrete Time Fourier Transform now and kickstart your journey towards success in the Electrical Engineering (EE) exam.
Importance of Inverse Discrete Time Fourier Transform
The importance of Inverse Discrete Time Fourier Transform cannot be overstated, especially for Electrical Engineering (EE) aspirants.
This document holds the key to success in the Electrical Engineering (EE) exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Inverse Discrete Time Fourier Transform Notes
Inverse Discrete Time Fourier Transform Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Inverse Discrete Time Fourier Transform.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Inverse Discrete Time Fourier Transform Notes on EduRev are your ultimate resource for success.
Inverse Discrete Time Fourier Transform Electrical Engineering (EE) Questions
The "Inverse Discrete Time Fourier Transform Electrical Engineering (EE) Questions" guide is a valuable resource for all aspiring students preparing for the
Electrical Engineering (EE) exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Inverse Discrete Time Fourier Transform on the App
Students of Electrical Engineering (EE) can study Inverse Discrete Time Fourier Transform alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Inverse Discrete Time Fourier Transform,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Inverse Discrete Time Fourier Transform is prepared as per the latest Electrical Engineering (EE) syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup