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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define BIBO stability.
π‘ Hint: Think about inputs that do not diverge.
Question 2
Easy
What does it mean for an LTI system to be causal?
π‘ Hint: Consider whether future inputs affect the output.
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 is a necessary condition for an LTI system to be causal?
- The ROC is left-sided.
- The ROC is right-sided.
- The ROC includes the imaginary axis.
π‘ Hint: Think about how the impulse response behaves.
Question 2
True or False: A system can be stable if it has poles in the right half-plane.
- True
- False
π‘ Hint: Remember the conditions for stability.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given H(s) = (s^2 + 4)/(s^2 + 2s + 4), determine if the system is causal and stable. Explain your reasoning.
π‘ Hint: Factor the denominator to find poles.
Question 2
For a system where H(s) has poles at s = -1 and s = 2, analyze the implications for its stability and causality.
π‘ Hint: Review the definitions of poles' effects.
Challenge and get performance evaluation