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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate (f ∗ g)[0] if f[n] = {2, 0} and g[n] = {1, 1}.
💡 Hint: Look at the first elements of both sequences.
Question 2
Easy
What is the value of (f ∗ g)[1] if f[n] = {1, 2} and g[n] = {1, 1}?
💡 Hint: Sum the products of overlapping indices.
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 convolution of f[n] = {1, 2, 1} and g[n] = {1, 1} at n=0?
- 2
- 1
- 3
- 0
💡 Hint: Check the first elements of both sequences.
Question 2
True or False: The result of (f ∗ g)[0] will always equal f[0]*g[0] in discrete convolution.
- True
- False
💡 Hint: Remember the basic definition of convolution at the start.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f[n] = {2, 1} and g[n] = {1, 3}, find (f ∗ g)[n] for all indices.
💡 Hint: Add contributions for each n index.
Question 2
In a digital system, how does the outcome of (f ∗ g)[2] change if g[n] has a delay? Provide a scenario.
💡 Hint: Think about how delays affect signal timing.
Challenge and get performance evaluation