Practice Convolution Sum: Graphical and Analytical Methods - 6.1.2 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.2 - Convolution Sum: Graphical and Analytical Methods

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of convolution?

πŸ’‘ Hint: Think about combining effects of two signals.

Question 2

Easy

What does the impulse response characterize?

πŸ’‘ Hint: Recall what happens when a brief input is applied.

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 convolution help us determine in an LTI system?

  • Output signal
  • Input signal
  • Impulse response

πŸ’‘ Hint: Think about the product of the input and characteristic response.

Question 2

True or False: The impulse response of an LTI system can be used to determine its output for any input signal.

  • True
  • False

πŸ’‘ Hint: Recall the foundational role of the impulse response.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the signals x[n] = {2, 0, 1} and h[n] = {1, 1}. Compute y[n] using convolution.

πŸ’‘ Hint: Track overlapping products carefully.

Question 2

Describe the steps necessary to compute the convolution of two signals analytically. Provide a worked example.

πŸ’‘ Hint: Focus on the effective ranges of both signals.

Challenge and get performance evaluation