Practice Time Scaling - 4.3.4 | Module 4 - Fourier Transform Analysis of Continuous-Time Aperiodic Signals | Signals and Systems
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4.3.4 - Time Scaling

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for the Time Scaling property in Fourier Transforms?

πŸ’‘ Hint: Remember the basic structure of Fourier Transforms.

Question 2

Easy

If a signal is compressed (|a| > 1), what happens to its frequency content?

πŸ’‘ Hint: Think about what compression in time means for 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 is the relationship between time compression and frequency bandwidth?

  • Bandwidth increases as time duration decreases.
  • Bandwidth decreases as time duration decreases.
  • Bandwidth remains unchanged.

πŸ’‘ Hint: Consider the implications of speeding up a signal.

Question 2

True or False: The amplitude of a signal increases when it is compressed in time.

  • True
  • False

πŸ’‘ Hint: Think about energy conservation principles.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a signal processing operation where you need to compress a time signal by 3. Analyze how the Fourier Transform changes.

πŸ’‘ Hint: Apply F{x(at)} to your analysis.

Question 2

Discuss how time scaling might be relevant in real-world applications like voice modulation.

πŸ’‘ Hint: Think about how faster speech impacts comprehension.

Challenge and get performance evaluation