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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define causality in LTI systems.
π‘ Hint: Think about how input and output relate in real-world scenarios.
Question 2
Easy
What is the Region of Convergence?
π‘ Hint: Consider where the Laplace Transform is valid.
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 it mean for a system to be causal?
- Outputs depend on future inputs.
- Outputs depend only on current and past inputs.
- Outputs can be infinite.
π‘ Hint: Think about how inputs are involved in real-world scenarios.
Question 2
True or False: A system is BIBO stable if every bounded input leads to an unbounded output.
- True
- False
π‘ Hint: Consider the nature of inputs and outputs in systems.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the transfer function H(s) = (s + 5) / (s^2 + 6s + 8), determine the regions of convergence and assess causality and stability.
π‘ Hint: Calculate poles and observe where the ROC flows.
Question 2
Describe a practical scenario where an LTI system could fail to be causal and identify potential consequences.
π‘ Hint: Consider systems needing timely feedback, like in robotics.
Challenge and get performance evaluation