Practice Convolution With Unit Impulse (6.1.3.5) - Time Domain Analysis of Discrete-Time Systems
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Convolution with Unit Impulse

Practice - Convolution with Unit Impulse

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the result of convolving any signal x[n] with the unit impulse δ[n]?

💡 Hint: Think about the role of the identity element.

Question 2 Easy

What does convolving a signal with a shifted unit impulse δ[n-n_0] produce?

💡 Hint: Consider what happens to the signal in time.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the effect of convolving a signal x[n] with a unit impulse δ[n]?

Produces a zero signal
Produces x[n]
Inverts the signal

💡 Hint: Think about the identity property.

Question 2

True or False: Convolution with a shifted unit impulse shifts the signal.

True
False

💡 Hint: Consider how time shifts work.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Evaluate the output of a signal x[n] = {3, 5, 2, 6} convolved with a unit impulse δ[n-3].

💡 Hint: Consider how the units shift forward.

Challenge 2 Hard

If you have a signal x[n] and convolve it with several shifted impulses: δ[n-1], δ[n-2], and δ[n-3], describe the resulting signal.

💡 Hint: Think about how each shift aligns with the sequence.

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Reference links

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