Practice Discrete-time Lti Systems (6.1) - Time Domain Analysis of Discrete-Time Systems
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Discrete-Time LTI Systems

Practice - Discrete-Time LTI Systems

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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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