Practice Causality and Stability of DT-LTI Systems based on Impulse Response - 6.1.4 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.4 - Causality and Stability of DT-LTI Systems based on Impulse Response

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Think about whether the system can use future inputs.

Question 2

Easy

Define BIBO stability.

πŸ’‘ Hint: Focus on the relationship between inputs and outputs.

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

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

πŸ’‘ 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

πŸ’‘ Hint: Reflect on the definitions of stability.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Consider tangible examples where past vs. future events interfere.

Question 2

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

πŸ’‘ Hint: Look for convergence and response characteristics for defining properties.

Challenge and get performance evaluation