Practice Limitations And Considerations (3.9) - Apply the Fast Fourier Transform (FFT) for Spectral Analysis of Signals in Both Time and Frequency Domains
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Limitations and Considerations

Practice - Limitations and Considerations

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Practice Questions

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Question 1 Easy

What is a limitation regarding the length of a signal in FFT?

💡 Hint: Think about how FFT algorithms are optimized.

Question 2 Easy

Why does spectral leakage occur?

💡 Hint: Consider how these signals behave at boundaries.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the computational complexity of the FFT?

O(N²)
O(N log N)
O(N³)

💡 Hint: Think about the efficiency improvements of FFT over DFT.

Question 2

True or False: Spectral leakage can occur in periodic signals.

True
False

💡 Hint: Consider the nature of periodic signals.

1 more question available

Challenge Problems

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Challenge 1 Hard

A dataset consists of 1500 samples. How would you prepare this for an FFT analysis? Discuss your steps and any necessary adjustments.

💡 Hint: What is the nearest power of 2 greater than 1500?

Challenge 2 Hard

Design a case where a signal is sampled below its Nyquist rate. What would be the consequence when performing an FFT?

💡 Hint: Remember the sampling theorem!

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