Practice Discrete-time Fourier Transform (dtft) (7.6) - Z-Transform Analysis of Discrete-Time Systems
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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

Define the Discrete-Time Fourier Transform (DTFT).

💡 Hint: Think about how we analyze signals over time.

Question 2 Easy

What is the fundamental period of the DTFT?

💡 Hint: Consider how often properties repeat in the frequency domain.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the DTFT transform?

Continuous signals
Discrete signals
Random signals

💡 Hint: Pay attention to the nature of the signals involved.

Question 2

Is the DTFT periodic?

True
False

💡 Hint: Think about the repetition of frequency information.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a sequence x[n] = cos(ω₀n)u[n], compute its DTFT and illustrate its spectrum.

💡 Hint: Recall the DTFT definitions involving cosines.

Challenge 2 Hard

Design a digital filter using DTFT; explain its frequency response and how it modifies input signals.

💡 Hint: Think about how you want different frequencies to be affected by the filter.

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Reference links

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