Practice - Graphical Representation - 6.1.1.3.2
Practice Questions
Test your understanding with targeted questions
What is the definition of the impulse response h[n]?
💡 Hint: Think about how the system reacts to a very short input.
Sketch the unit impulse function δ[n].
💡 Hint: Consider the graph's key points.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the impulse response h[n] tell us about a system?
💡 Hint: Remember that h[n] encapsulates the memory of the system.
True or False: The unit step function u[n] is the discrete equivalent of applying a sustained input.
💡 Hint: Think about how u[n] behaves over time.
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Challenge Problems
Push your limits with advanced challenges
Given the impulse response of a system is h[n] = 2δ[n−1] + δ[n−2], derive the step response s[n] for this system.
💡 Hint: Consider how to express the step response in terms of the impulse response.
Discuss how increasing the numerator in a step response from one to three alters the system's stability.
💡 Hint: Reflect on bounded vs. unbounded outputs regarding system behavior.
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Reference links
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