Practice The Crucial Relationship Between Roc And System Stability/causality (5.5.3)
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The Crucial Relationship between ROC and System Stability/Causality

Practice - The Crucial Relationship between ROC and System Stability/Causality

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define BIBO stability.

💡 Hint: Think about inputs that do not diverge.

Question 2 Easy

What does it mean for an LTI system to be causal?

💡 Hint: Consider whether future inputs affect the output.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

💡 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

💡 Hint: Remember the conditions for stability.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given H(s) = (s^2 + 4)/(s^2 + 2s + 4), determine if the system is causal and stable. Explain your reasoning.

💡 Hint: Factor the denominator to find poles.

Challenge 2 Hard

For a system where H(s) has poles at s = -1 and s = 2, analyze the implications for its stability and causality.

💡 Hint: Review the definitions of poles' effects.

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Reference links

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