Practice Impulse Response (h(t)): The System's Unique Fingerprint - 2.1.2.1 | Module 2: Time Domain Analysis of Continuous-Time Systems | Signals and Systems
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2.1.2.1 - Impulse Response (h(t)): The System's Unique Fingerprint

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of impulse response?

πŸ’‘ Hint: Focus on input-output behavior.

Question 2

Easy

What does the Dirac delta function represent?

πŸ’‘ Hint: Think about its characteristics.

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 h(t) represent in LTI systems?

  • System's characteristic response
  • Input signal
  • Noise level

πŸ’‘ Hint: Consider what characterizes system behavior.

Question 2

True or False: The impulse response can change over time.

  • True
  • False

πŸ’‘ Hint: Think about the nature of LTI systems.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an LTI system with impulse response h(t) = (1/3)e^(-t/3)u(t), find the output when the input is x(t) = u(t).

πŸ’‘ Hint: Use the properties of exponential functions and the limits of the unit step function.

Question 2

Consider a system whose impulse response is h(t) = Ξ΄(t - 2) + 2Ξ΄(t - 3). What will the output be if the input is a unit step function u(t)?

πŸ’‘ Hint: Utilize the sifting property of the Dirac delta function.

Challenge and get performance evaluation