Practice The Discrete-Time Unit Step Function - 6.1.1.3 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.1.3 - The Discrete-Time Unit Step Function

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the discrete-time unit step function.

πŸ’‘ Hint: Think about what it signifies graphically.

Question 2

Easy

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

πŸ’‘ Hint: Consider how one function accumulates values.

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 u[n] equal when n < 0?

  • 1
  • 0
  • undefined

πŸ’‘ 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

πŸ’‘ Hint: Remember the relationship we discussed between these functions.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Refer back to how output responds to input impulses.

Question 2

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

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

Challenge and get performance evaluation