Practice Discrete-time Fourier Transform (dtft) (9.2.2) - Fast Fourier Transform: Review of Fourier Analysis
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Discrete-Time Fourier Transform (DTFT)

Practice - Discrete-Time Fourier Transform (DTFT)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the DTFT convert a signal into?

💡 Hint: Think about how we analyze signals.

Question 2 Easy

What is the mathematical formula for the DTFT?

💡 Hint: Recall how we sum over signal samples.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the DTFT allow us to analyze?

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

💡 Hint: Think about its application in signal processing.

Question 2

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

True
False

💡 Hint: Recall the definitions we discussed earlier.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

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

Challenge 2 Hard

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

💡 Hint: Consider the libraries and functions that facilitate Fourier analysis.

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Reference links

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