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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the result of convolving any signal x[n] with the unit impulse Ξ΄[n]?
π‘ Hint: Think about the role of the identity element.
Question 2
Easy
What does convolving a signal with a shifted unit impulse Ξ΄[n-n_0] produce?
π‘ Hint: Consider what happens to the signal in time.
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 effect of convolving a signal x[n] with a unit impulse Ξ΄[n]?
- Produces a zero signal
- Produces x[n]
- Inverts the signal
π‘ Hint: Think about the identity property.
Question 2
True or False: Convolution with a shifted unit impulse shifts the signal.
- True
- False
π‘ Hint: Consider how time shifts work.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate the output of a signal x[n] = {3, 5, 2, 6} convolved with a unit impulse Ξ΄[n-3].
π‘ Hint: Consider how the units shift forward.
Question 2
If you have a signal x[n] and convolve it with several shifted impulses: Ξ΄[n-1], Ξ΄[n-2], and Ξ΄[n-3], describe the resulting signal.
π‘ Hint: Think about how each shift aligns with the sequence.
Challenge and get performance evaluation