Practice Graphical Method for Convolution - 6.1.2.3 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.2.3 - Graphical Method for Convolution

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is convolution?

πŸ’‘ Hint: Think about how input signals and impulse responses relate.

Question 2

Easy

Define impulse response.

πŸ’‘ Hint: Remember, it's the system's characteristic behavior.

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 output of convolving any signal with the impulse response?

  • The original signal
  • Zero
  • Another signal entirely

πŸ’‘ Hint: Consider the identity property.

Question 2

True or False: The graphical method for convolution can be used for infinite-duration signals.

  • True
  • False

πŸ’‘ Hint: Think about what you’ve learned regarding duration.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Apply the graphical method to convolve x[n] = 3u[n] - 2u[n-5] with h[n] = 5u[n-1]. Describe each step carefully.

πŸ’‘ Hint: Pay close attention to graph the intervals for x[n] and h[n].

Question 2

Given the sequences x[n] = Ξ΄[n] and h[n] = u[n], explain why the output is the same as h[n].

πŸ’‘ Hint: Consider the characteristics of the impulse function.

Challenge and get performance evaluation