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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the condition for a system to be causal?
π‘ Hint: Think about when the system can respond to inputs.
Question 2
Easy
Explain the significance of the ROC in LTI systems.
π‘ Hint: Recall how ROC relates to system behavior.
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 must be true for an LTI system to be stable?
- All poles must be in the left half-plane
- All poles must be in the right half-plane
- Poles can be on the imaginary axis
π‘ Hint: Think about where poles can cause growth.
Question 2
True or False: A system with at least one pole in the right half-plane can be stable.
- True
- False
π‘ Hint: Recall the definition of stability related to pole locations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a transfer function H(s) with one pole in the right half-plane and discuss how it affects stability.
π‘ Hint: Evaluate if the function leads to unbounded growth.
Question 2
Given a transfer function with poles at s = -1 and s = -2, explain if the system is causal and stable; justify your reason.
π‘ Hint: Consider where poles sit concerning the ROC.
Challenge and get performance evaluation