Practice - The Signature Responses: Impulse Response and Step Response
Practice Questions
Test your understanding with targeted questions
Define the impulse response in the context of an LTI system.
💡 Hint: Think about how the system reacts to a quick input.
What does the step response represent?
💡 Hint: Consider a signal that turns on suddenly and stays on.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the impulse response describe?
💡 Hint: Think of how systems respond to instantaneous energies.
True or False: The step response can be derived by differentiating the impulse response.
💡 Hint: Consider what happens to a signal when it is created continuously.
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Challenge Problems
Push your limits with advanced challenges
A system has an impulse response given as h(t) = e^(-at)u(t) for a > 0. Derive the step response s(t).
💡 Hint: Use the integration technique for the exponential function.
If a system's step response is known as s(t) = 1 - e^(-bt) for t >= 0, find the impulse response h(t).
💡 Hint: Think about how differentiation unveils the changes in outputs over time.
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Reference links
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