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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the convolution of an exponential signal e^(-at) with itself?
💡 Hint: Consider the limits when both functions are valid.
Question 2
Easy
Define the unit step function and its significance in the convolution process.
💡 Hint: Think about the behavior of signals before and after time t = 0.
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 does convolution allow us to compute in LTI systems?
- The frequency response
- The output given the input and impulse response
- The input given the output
💡 Hint: Think about how systems react to known impulses.
Question 2
True or False: Applying the convolution integral involves flipping one of the functions involved.
- True
- False
💡 Hint: This is part of the process you learned earlier.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given x(t) = cos(at)u(t) and h(t) = e^(-bt)u(t), compute the resulting convolution. What are the challenges you face in the process?
💡 Hint: Think about how you might approach integrating an oscillatory function.
Question 2
For the functions x(t) = u(t) - u(t-5) and h(t) = e^(-at)u(t), determine the output. Discuss any peculiarities in the result.
💡 Hint: Focus on how the step functions change the limits of active signal contribution.
Challenge and get performance evaluation