Practice - Discrete-Time LTI Systems
Practice Questions
Test your understanding with targeted questions
Define the impulse response in your own words.
💡 Hint: Think about what happens when we input a delta function.
What is the sifting property of the impulse function?
💡 Hint: Consider how you can break down a signal into unit impulses.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the impulse response of a DT-LTI system represent?
💡 Hint: Think about the nature of impulse signals and their overall influence.
True or False: All LTI systems must have an impulse response.
💡 Hint: Connect this to the definition of an LTI system.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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