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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define convolution in the context of discrete-time systems.
💡 Hint: Think about how signals interact in a system.
Question 2
Easy
What is the significance of the impulse response in LTI systems?
💡 Hint: Consider how a system 'remembers' past inputs.
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 a signal?
- It pairs two systems together
- It combines an input with its impulse response
- None of the above
💡 Hint: Consider how these two elements interact.
Question 2
True/False: The impulse response can only be non-zero for negative times.
- True
- False
💡 Hint: Reflect on how impulses behave in the past.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given x[n] = sin(n)u[n] and h[n] = e^{-n}u[n], calculate the convolution output y[n].
💡 Hint: Remember to determine the valid n range based on u[n] per function.
Question 2
If x[n] = u[n-1] and h[n] = (1/2)^{n}u[n], derive the resulting signal after convolution.
💡 Hint: Focus on calculating the valid summation range in conjunction with the unit step limits.
Challenge and get performance evaluation