Practice Discrete Fourier Transform (DFT) - 2.4.3 | 2. Sampling, Reconstruction, and Aliasing | Digital Signal Processing
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the DFT do?

πŸ’‘ Hint: Think about what analyzing frequencies means.

Question 2

Easy

What does N represent in the DFT formula?

πŸ’‘ Hint: Consider how many values we have from the signal.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary purpose of the Discrete Fourier Transform?

  • To convert time-domain signals into frequency-domain signals
  • To visualize signals
  • To filter signals

πŸ’‘ Hint: Think about what DFT does with signal data.

Question 2

Is the Fast Fourier Transform significantly faster than the Discrete Fourier Transform?

  • True
  • False

πŸ’‘ Hint: Consider the computational time it takes for both.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a complex signal z[n] = sin(2Ο€fn) + cos(2Ο€fn), calculate its DFT for N=8 at frequencies f = 1Hz and 2Hz.

πŸ’‘ Hint: Keep each frequency component distinct as you apply the DFT!

Question 2

Analyze a sound wave represented in a discrete sample. If the DFT shows a prominent frequency at 440Hz, what does this indicate about the sound?

πŸ’‘ Hint: Think about how different musical notes correspond with specific frequencies!

Challenge and get performance evaluation