Practice Convolution (4.4.4) - Time and Frequency Domains: Z-Transform
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Convolution

Practice - Convolution

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does convolution represent in signal processing?

💡 Hint: Think about how we combine two signals.

Question 2 Easy

In the Z-domain, what does convolution become?

💡 Hint: Recall the operations between time and frequency domains.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does convolution in time domain correspond to in Z-domain?

Addition
Multiplication
Subtraction

💡 Hint: Remember the C-M acronym.

Question 2

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

True
False

💡 Hint: Think about the general mathematical operation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

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

Challenge 2 Hard

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

💡 Hint: Relate stability to the nature of the impulse response.

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Reference links

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