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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the impulse response in your own words.
💡 Hint: Think about what happens when we input a delta function.
Question 2
Easy
What is the sifting property of the impulse function?
💡 Hint: Consider how you can break down a signal into unit impulses.
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 the impulse response of a DT-LTI system represent?
- A characteristic curve of the system over time
- The output due to a unit impulse input
- A mathematical model of system performance
💡 Hint: Think about the nature of impulse signals and their overall influence.
Question 2
True or False: All LTI systems must have an impulse response.
- True
- False
💡 Hint: Connect this to the definition of an LTI system.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given an input x[n] = (1, 1, 1) and an impulse response h[n] = (0.5, 0.5, 0), compute the output y[n] using convolution.
💡 Hint: Remember to calculate y[n] using the convolution formula for series.
Question 2
If an LTI system has an impulse response h[n] = (2, -1) and is given a step input, what will be the output?
💡 Hint: Consider how you can sum step responses based on the impulse response's influence.
Challenge and get performance evaluation