Practice The Discrete-time Unit Step Function (6.1.1.3) - Time Domain Analysis of Discrete-Time Systems
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The Discrete-Time Unit Step Function

Practice - The Discrete-Time Unit Step Function

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the discrete-time unit step function.

💡 Hint: Think about what it signifies graphically.

Question 2 Easy

What is the relationship between the unit step and unit impulse functions?

💡 Hint: Consider how one function accumulates values.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does u[n] equal when n < 0?

1
0
undefined

💡 Hint: Check the definition of the step function.

Question 2

True or False: The unit step function can be expressed as the sum of impulse functions.

True
False

💡 Hint: Remember the relationship we discussed between these functions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

How would you apply the unit step function to a discrete-time system that has a specified impulse response h[n]?

💡 Hint: Refer back to how output responds to input impulses.

Challenge 2 Hard

A system's response to a step input shows overshoot before settling. Consider implications on system stability.

💡 Hint: Consider how the system's behavior on step input relates to its poles.

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Reference links

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