Practice Causality And Stability Of Dt-lti Systems Based On Impulse Response (6.1.4)
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Causality and Stability of DT-LTI Systems based on Impulse Response

Practice - Causality and Stability of DT-LTI Systems based on Impulse Response

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does causality mean in the context of DT-LTI systems?

💡 Hint: Think about whether the system can use future inputs.

Question 2 Easy

Define BIBO stability.

💡 Hint: Focus on the relationship between inputs and outputs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following describes causality in a DT-LTI system?

Output depends on future inputs
Output depends on current and past inputs
Output is independent of inputs

💡 Hint: Consider how the timing of the inputs affects output.

Question 2

True or False: A system is stable if any bounded input produces an unbounded output.

True
False

💡 Hint: Reflect on the definitions of stability.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Discuss the implications of designing a non-causal DT-LTI system in a real-time application, focusing on potential failures.

💡 Hint: Consider tangible examples where past vs. future events interfere.

Challenge 2 Hard

Evaluate a DT-LTI system with h[n] = 0.5^n u[n], discussing its characteristics of causality and BIBO stability.

💡 Hint: Look for convergence and response characteristics for defining properties.

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Reference links

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