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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the impulse response in the context of an LTI system.
💡 Hint: Think about how the system reacts to a quick input.
Question 2
Easy
What does the step response represent?
💡 Hint: Consider a signal that turns on suddenly and stays on.
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 describe?
- System output to a step function
- System output to an impulse function
- System input only
💡 Hint: Think of how systems respond to instantaneous energies.
Question 2
True or False: The step response can be derived by differentiating the impulse response.
- True
- False
💡 Hint: Consider what happens to a signal when it is created continuously.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation