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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the unit impulse function Ξ΄[n].
π‘ Hint: Think about its value at n equals zero.
Question 2
Easy
What is the role of the impulse response h[n]?
π‘ Hint: Recall it represents the system's output when Ξ΄[n] is input.
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 defines an impulse response in an LTI system?
- Output for a step input
- Output for an impulse input
- Input for any system
π‘ Hint: Remember what input signal characterizes this response.
Question 2
True or False: The unit step function can be represented as the summation of unit impulses.
- True
- False
π‘ Hint: Think about how u[n] is developed over time.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If an LTI system has an impulse response defined as h[n] = 2Ξ΄[n] - Ξ΄[n-1], calculate the output y[n] when the input x[n] is a unit step function.
π‘ Hint: Use the convolution property to combine the input and impulse response.
Question 2
Explain why the impulse response is sufficient to characterize an LTI system. What properties would fail if non-linear systems were considered?
π‘ Hint: Consider how systems process inputs differently when transitioning between linear and non-linear.
Challenge and get performance evaluation