Practice Example: Applying FFT to a Signal - 9.6 | 9. Fast Fourier Transform: Review of Fourier Analysis | Digital Signal Processing
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define sinusoidal function in your own words.

πŸ’‘ Hint: Think about waves in nature.

Question 2

Easy

What do you expect to find when applying FFT to a signal composed of multiple frequencies?

πŸ’‘ Hint: Consider how different sounds mix together.

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 using FFT in signal processing?

  • To filter noise
  • To compute the DFT efficiently
  • To visualize audio signals

πŸ’‘ Hint: Think about how we perform calculations more quickly.

Question 2

The peaks in the FFT plot represent which of the following?

  • True
  • False

πŸ’‘ Hint: What do we see in a sound frequency chart?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a signal x(t) consisting of three sine waves: sin(2Ο€3t) + sin(2Ο€8t) + sin(2Ο€20t). How would you apply FFT to this signal, and what frequency peaks would you expect?

πŸ’‘ Hint: Refer to the formula for determining the frequency in your equation.

Question 2

Explain how varying the sampling frequency influences the accuracy of the FFT results. What would happen if the sampling frequency is less than twice the maximum frequency in your signal?

πŸ’‘ Hint: Consider the Nyquist theorem as a guideline for proper sampling.

Challenge and get performance evaluation