Practice Example: Applying Fft To A Signal (9.6) - Fast Fourier Transform: Review of Fourier Analysis
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Example: Applying FFT to a Signal

Practice - Example: Applying FFT to a Signal

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define sinusoidal function in your own words.

💡 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?

💡 Hint: Consider how different sounds mix together.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 Hint: Think about how we perform calculations more quickly.

Question 2

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

True
False

💡 Hint: What do we see in a sound frequency chart?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a signal x(t) consisting of three sine waves: sin(2π3t) + sin(2π8t) + sin(2π20t). How would you apply FFT to this signal, and what frequency peaks would you expect?

💡 Hint: Refer to the formula for determining the frequency in your equation.

Challenge 2 Hard

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?

💡 Hint: Consider the Nyquist theorem as a guideline for proper sampling.

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Reference links

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