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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the convolution sum represent?
π‘ Hint: Think about how each part of the signal influences the system.
Question 2
Easy
Define impulse response.
π‘ Hint: Relate it back to the input you apply.
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 sum formula?
π‘ Hint: Think about how each part modifies the output.
Question 2
True or False: Convolution can be viewed as a filter applied to a signal.
π‘ Hint: Consider the effects on the signal rather than just the math.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the input x[n] = u[n] and an impulse response h[n] = Ξ΄[n] β Ξ΄[nβ2], compute the output signal y[n].
π‘ Hint: Don't forget about the properties of unit step and impulse responses in convolution.
Question 2
Assume a system's impulse response is h[n] = 0.5^n * u[n]. What is the output for an input x[n] = 2 * u[n] using the convolution sum?
π‘ Hint: Remember to think about how the geometric series sums relate to your result.
Challenge and get performance evaluation