Practice Magnitude and Phase Spectra of H(j*omega) - 4.5.2 | Module 4 - Fourier Transform Analysis of Continuous-Time Aperiodic Signals | Signals and Systems
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4.5.2 - Magnitude and Phase Spectra of H(j*omega)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does |H(jω)| > 1 indicate about the system's behavior?

πŸ’‘ Hint: Think about how systems behave with respect to input frequencies.

Question 2

Easy

What is the mathematical expression for the output spectrum Y(jω) of a CT-LTI system?

πŸ’‘ Hint: Consider how we calculate the output based on input and system response.

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 transfer function H(jω) represent in a CT-LTI system?

  • Only the magnitude response
  • Only the phase response
  • The overall frequency response

πŸ’‘ Hint: Think of what it means for a system to respond to frequencies.

Question 2

True or False: The magnitude response |H(jω)| < 1 indicates that the system amplifies the frequency component.

  • True
  • False

πŸ’‘ Hint: Consider what happens to signals less than 1.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a hypothetical CT-LTI system with a transfer function H(jω) = 2 * e^(-jω/2). Discuss its magnitude and phase response, and how it would affect an input signal.

πŸ’‘ Hint: Consider how gain affects output amplitude and how phase shifts could alter the waveform shape.

Question 2

Explain the impact of having a non-linear phase response in a signal processing application. Provide an example.

πŸ’‘ Hint: Recall the importance of phase in applications requiring waveform integrity.

Challenge and get performance evaluation