Practice Convolution - 4.4.4 | 4. Time and Frequency Domains: Z-Transform | Digital Signal Processing
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does convolution represent in signal processing?

πŸ’‘ Hint: Think about how we combine two signals.

Question 2

Easy

In the Z-domain, what does convolution become?

πŸ’‘ Hint: Recall the operations between time and frequency domains.

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 in time domain correspond to in Z-domain?

  • Addition
  • Multiplication
  • Subtraction

πŸ’‘ Hint: Remember the C-M acronym.

Question 2

True or False: Convolution can only be applied to periodic signals.

  • True
  • False

πŸ’‘ Hint: Think about the general mathematical operation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider signals x[n] = [1, 2, 3] and h[n] = [2, 1]. Calculate their convolution and interpret the result.

πŸ’‘ Hint: Carefully consider how each sample of h[n] affects the corresponding samples of x[n].

Question 2

Explain how the properties of convolution might change if h[n] is not absolutely summable.

πŸ’‘ Hint: Relate stability to the nature of the impulse response.

Challenge and get performance evaluation