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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of the impulse response h[n]?
π‘ Hint: Think about how the system reacts to a very short input.
Question 2
Easy
Sketch the unit impulse function Ξ΄[n].
π‘ Hint: Consider the graph's key points.
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 h[n] tell us about a system?
- Only the stability
- The character of its output behavior
- The system's frequency response
π‘ Hint: Remember that h[n] encapsulates the memory of the system.
Question 2
True or False: The unit step function u[n] is the discrete equivalent of applying a sustained input.
- True
- False
π‘ Hint: Think about how u[n] behaves over time.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the impulse response of a system is h[n] = 2Ξ΄[nβ1] + Ξ΄[nβ2], derive the step response s[n] for this system.
π‘ Hint: Consider how to express the step response in terms of the impulse response.
Question 2
Discuss how increasing the numerator in a step response from one to three alters the system's stability.
π‘ Hint: Reflect on bounded vs. unbounded outputs regarding system behavior.
Challenge and get performance evaluation