Practice - Impulse Response and Step Response
Practice Questions
Test your understanding with targeted questions
Define the unit impulse function δ[n].
💡 Hint: Think about its value at n equals zero.
What is the role of the impulse response h[n]?
💡 Hint: Recall it represents the system's output when δ[n] is input.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines an impulse response in an LTI system?
💡 Hint: Remember what input signal characterizes this response.
True or False: The unit step function can be represented as the summation of unit impulses.
💡 Hint: Think about how u[n] is developed over time.
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Challenge Problems
Push your limits with advanced challenges
If an LTI system has an impulse response defined as h[n] = 2δ[n] - δ[n-1], calculate the output y[n] when the input x[n] is a unit step function.
💡 Hint: Use the convolution property to combine the input and impulse response.
Explain why the impulse response is sufficient to characterize an LTI system. What properties would fail if non-linear systems were considered?
💡 Hint: Consider how systems process inputs differently when transitioning between linear and non-linear.
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Reference links
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