Practice Time Reversal - 3.3.4 | Module 3: Fourier Series Analysis of Continuous-Time Periodic Signals | Signals and Systems
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What happens to the Fourier series coefficients of a signal when it is time-reversed?

πŸ’‘ Hint: Think about how reflecting in time affects each harmonic component.

Question 2

Easy

Does the magnitude of the signal's spectrum change when time reversed?

πŸ’‘ Hint: Consider what aspect of the coefficients represents energy.

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 result of time-reversing a signal x(t)?

  • c_k becomes c_(-k)
  • c_k remains unchanged
  • magnitude vanishes

πŸ’‘ Hint: Reflect on how reversing a function's time impacts its frequency components.

Question 2

True or False: The magnitude spectrum of a real-valued signal changes when the signal is time-reversed.

  • True
  • False

πŸ’‘ Hint: Consider what constitutes a spectrum in terms of signal energy.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Imagine a periodic triangle wave has Fourier coefficients c_k. If this signal is time-reversed, derive the new coefficients and describe their significance.

πŸ’‘ Hint: Consider applying the Fourier series equation with the time reversal substitution.

Question 2

In a circuit, a real-valued input signal is time-reversed and used for analysis. Discuss how this could affect circuit behavior and performance.

πŸ’‘ Hint: Reflect on the concepts of phase-related behaviors in reactive components like inductors and capacitors.

Challenge and get performance evaluation