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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the impulse response h[n] represent in a DT-LTI system?
π‘ Hint: Think about what happens when you apply an impulse to a system.
Question 2
Easy
Is the impulse response h[n] sufficient for system characterization?
π‘ Hint: Consider if you need additional information to predict outputs.
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 is the impulse response of a system?
- A system's output for step input.
- A system's output for sinusoidal input.
- A system's output for impulse input.
π‘ Hint: Remember what h[n] characterizes in system analysis.
Question 2
True or False: The impulse response can be used to predict the output for any arbitrary input.
- True
- False
π‘ Hint: Consider how convolution operates.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given an impulse response h[n] = (0.5)^n u[n], determine the output for an input x[n] = Ξ΄[n-1]. Explain your steps.
π‘ Hint: Convolution requires lining up the sequences, starting with Ξ΄[n-1].
Question 2
Consider a system where h[n] = 0.3^n u[n] β 0.5^n u[n-5]. Discuss the implications on stability and causality.
π‘ Hint: Assess each piece of h[n] for behavior as n approaches infinity.
Challenge and get performance evaluation