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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the Convolution Integral.
💡 Hint: Think about how outputs are derived from inputs in terms of their interactions.
Question 2
Easy
What does the impulse response of a system signify?
💡 Hint: Recall that it's the output for an instantaneous input scenario.
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 output of an LTI system given input x(t) and impulse response h(t)?
- x(t) + h(t)
- x(t) * h(t)
- Convolution of x(t) and h(t)
💡 Hint: Consider the fundamental definition of how inputs impact outputs.
Question 2
True or False: The convolution integral can be computed using graphical methods.
- True
- False
💡 Hint: Think about both techniques we've covered and how they relate.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the convolution of x(t) = u(t) and h(t) = e^(-at)u(t) for a > 0.
💡 Hint: Remember to apply limits relevant to the unit step function.
Question 2
Evaluate the convolution of two delta functions, delta(t - t1) and delta(t - t2).
💡 Hint: Utilize the properties of the delta function in your evaluation.
Challenge and get performance evaluation