Practice Discrete-Time Fourier Transform (DTFT) - 7.6 | Module 7 - Z-Transform Analysis of Discrete-Time Systems | Signals and Systems
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7.6 - Discrete-Time Fourier Transform (DTFT)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the Discrete-Time Fourier Transform (DTFT).

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

Question 2

Easy

What is the fundamental period of the DTFT?

πŸ’‘ Hint: Consider how often properties repeat in the frequency domain.

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 transform?

  • Continuous signals
  • Discrete signals
  • Random signals

πŸ’‘ Hint: Pay attention to the nature of the signals involved.

Question 2

Is the DTFT periodic?

  • True
  • False

πŸ’‘ Hint: Think about the repetition of frequency information.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a sequence x[n] = cos(Ο‰β‚€n)u[n], compute its DTFT and illustrate its spectrum.

πŸ’‘ Hint: Recall the DTFT definitions involving cosines.

Question 2

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

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

Challenge and get performance evaluation