Practice - Combined Condition for Causal and Stable Systems
Practice Questions
Test your understanding with targeted questions
What is the condition for a system to be causal?
💡 Hint: Think about when the system can respond to inputs.
Explain the significance of the ROC in LTI systems.
💡 Hint: Recall how ROC relates to system behavior.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true for an LTI system to be stable?
💡 Hint: Think about where poles can cause growth.
True or False: A system with at least one pole in the right half-plane can be stable.
💡 Hint: Recall the definition of stability related to pole locations.
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Challenge Problems
Push your limits with advanced challenges
Design a transfer function H(s) with one pole in the right half-plane and discuss how it affects stability.
💡 Hint: Evaluate if the function leads to unbounded growth.
Given a transfer function with poles at s = -1 and s = -2, explain if the system is causal and stable; justify your reason.
💡 Hint: Consider where poles sit concerning the ROC.
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Reference links
Supplementary resources to enhance your learning experience.