Practice Discrete-Time Fourier Transform (DTFT) - 9.2.2 | 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

What does the DTFT convert a signal into?

πŸ’‘ Hint: Think about how we analyze signals.

Question 2

Easy

What is the mathematical formula for the DTFT?

πŸ’‘ Hint: Recall how we sum over signal samples.

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 does the DTFT allow us to analyze?

  • Only time-domain behavior
  • The frequency content of signals
  • The amplitude of signals

πŸ’‘ Hint: Think about its application in signal processing.

Question 2

True or False: The DTFT is applicable only to continuous-time signals.

  • True
  • False

πŸ’‘ Hint: Recall the definitions we discussed earlier.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a sampled signal x[n] = {0, 1, 0, -1, 0, 1}, calculate the DTFT X(f) for frequencies f = 0, 0.2, 0.5, and 1.

πŸ’‘ Hint: Remember to plug in the values of n for each term in your summation.

Question 2

Explain how you would implement DTFT in a programming environment. What steps would you follow?

πŸ’‘ Hint: Consider the libraries and functions that facilitate Fourier analysis.

Challenge and get performance evaluation