Practice Impulse Response (h[n]) - 6.1.1.2 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.1.2 - Impulse Response (h[n])

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of impulse response?

πŸ’‘ 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]?

πŸ’‘ Hint: It represents a one-sample delay.

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 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

πŸ’‘ 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

πŸ’‘ Hint: Think about system characterization.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

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

Question 2

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

πŸ’‘ Hint: The averaging seems to give importance to both current and past inputs.

Challenge and get performance evaluation