Practice - Definition - 6.1.1.2.1
Practice Questions
Test your understanding with targeted questions
What does the impulse response h[n] represent in a DT-LTI system?
💡 Hint: Think about what happens when you apply an impulse to a system.
Is the impulse response h[n] sufficient for system characterization?
💡 Hint: Consider if you need additional information to predict outputs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the impulse response of a system?
💡 Hint: Remember what h[n] characterizes in system analysis.
True or False: The impulse response can be used to predict the output for any arbitrary input.
💡 Hint: Consider how convolution operates.
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Challenge Problems
Push your limits with advanced challenges
Given an impulse response h[n] = (0.5)^n u[n], determine the output for an input x[n] = δ[n-1]. Explain your steps.
💡 Hint: Convolution requires lining up the sequences, starting with δ[n-1].
Consider a system where h[n] = 0.3^n u[n] − 0.5^n u[n-5]. Discuss the implications on stability and causality.
💡 Hint: Assess each piece of h[n] for behavior as n approaches infinity.
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