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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is H(z)?
💡 Hint: It relates to the impulse response.
Question 2
Easy
What do zeros of H(z) indicate?
💡 Hint: Think about frequency components!
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 System Function H(z) represent?
- The Fourier Transform
- The Laplace Transform
- The Z-Transform of the impulse response
💡 Hint: Think about the discrete-time representation!
Question 2
True or False: A causal system has poles outside the unit circle.
- True
- False
💡 Hint: Causality vs stability - what's the relationship?
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a DT-LTI System with H(z) = (1 - z^(-1))(1 - 0.5z^(-1)) / (1 - 1.2z^(-1) + 0.36z^(-2)), determine the poles, zeros, and ROC.
💡 Hint: To find poles, set the denominator to zero and solve.
Question 2
Describe how changes in the pole locations affect the stability and frequency response of H(z).
💡 Hint: Consider how magnitudes relate to stability!
Challenge and get performance evaluation