Practice - Stability (BIBO - Bounded Input Bounded Output Stability)
Practice Questions
Test your understanding with targeted questions
What does BIBO stand for?
💡 Hint: Think about the connection between input and output in systems.
Provide an example of a stable impulse response.
💡 Hint: Consider exponential decay functions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
A system is BIBO stable if:
💡 Hint: Think about the requirements for stable systems.
True or False: An impulse response must be absolutely integrable for a system to be BIBO stable.
💡 Hint: Recall what integral conditions imply.
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Challenge Problems
Push your limits with advanced challenges
Given the impulse response h(t) = e^(-t)sin(t)u(t), determine if the system is BIBO stable.
💡 Hint: Consider the convergence of the sine function with the exponential decay.
Analyze a system with impulse response h(t) = 1/(t^2 + 1) for t in R. Is it BIBO stable?
💡 Hint: Think about the behavior of h(t) across its range and how it integrates.
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Reference links
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