Practice Impulse Response (h[n]) (6.1.1.2) - Time Domain Analysis of Discrete-Time Systems
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Impulse Response (h[n])

Practice - Impulse Response (h[n])

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of impulse response?

💡 Hint: Think about the specific output for an impulse input.

Question 2 Easy

For a simple delay y[n] = x[n-1], what is h[n]?

💡 Hint: It represents a one-sample delay.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does h[n] represent in a DT-LTI system?

1. The impulse input
2. The system's output for an impulse input
3. The average of past outputs

💡 Hint: Focus on what h[n] is derived from.

Question 2

True or False: Every DT-LTI system can be completely characterized by its impulse response.

True
False

💡 Hint: Think about system characterization.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a non-causal system described by h[n] = δ[n+1] + δ[n]{1}, outline how this system's output would respond to an impulse input.

💡 Hint: Consider the implications of h[n] being non-zero for n < 0.

Challenge 2 Hard

Design a DT-LTI system characterized by an impulse response that averages its last two inputs. Provide its difference equation.

💡 Hint: The averaging seems to give importance to both current and past inputs.

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Reference links

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