Practice Causality and Stability of CT-LTI Systems: Essential System Properties - 2.1.5 | Module 2: Time Domain Analysis of Continuous-Time Systems | Signals and Systems
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2.1.5 - Causality and Stability of CT-LTI Systems: Essential System Properties

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define causality in the context of CT-LTI systems.

πŸ’‘ Hint: Think about whether future inputs affect the output.

Question 2

Easy

What does BIBO stability mean?

πŸ’‘ Hint: Focus on the relationship between input limits and output behavior.

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 does causality in a CT-LTI system imply?

  • The output depends on future inputs
  • The output depends only on past inputs
  • The output depends on present and past inputs

πŸ’‘ Hint: Think about how systems react in real-time situations.

Question 2

A system is said to be BIBO stable if:

  • True
  • False

πŸ’‘ Hint: Consider what happens to outputs when inputs have limits.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a causal system with an impulse response h(t) = e^(-at)u(t), where a > 0, determine if it is BIBO stable.

πŸ’‘ Hint: Use properties of definite integrals to test boundedness.

Question 2

Design a hypothetical non-causal system's impulse response and discuss its implications.

πŸ’‘ Hint: Think about how this system interacts with future data.

Challenge and get performance evaluation