Practice Limitations and Considerations - 3.9 | 3. Apply the Fast Fourier Transform (FFT) for Spectral Analysis of Signals in Both Time and Frequency Domains | Analog and Digital Signal Processing and Communication
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Think about how FFT algorithms are optimized.

Question 2

Easy

Why does spectral leakage occur?

πŸ’‘ Hint: Consider how these signals behave at boundaries.

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 computational complexity of the FFT?

  • O(NΒ²)
  • O(N log N)
  • O(NΒ³)

πŸ’‘ Hint: Think about the efficiency improvements of FFT over DFT.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Consider the nature of periodic signals.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: What is the nearest power of 2 greater than 1500?

Question 2

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

πŸ’‘ Hint: Remember the sampling theorem!

Challenge and get performance evaluation