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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the result of convolving a function with the Dirac delta function?
💡 Hint: Think about the identity property.
Question 2
Easy
If x(t) is convolved with delta(t - 5), what will be the output?
💡 Hint: Recall how shifting works in convolution.
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 outcome of convolving any signal x(t) with delta(t)?
- It shifts the signal
- It alters the signal
- It leaves the signal unchanged
💡 Hint: Think about what happens to the original signal.
Question 2
Convolving a signal x(t) with delta(t - t0) results in:
- x(t + t0)
- x(t)
- x(t - t0)
💡 Hint: Recall how shifting works in convolution.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Derive the output of a continuous signal e^(-2t)u(t) convolved with delta(t - 3).
💡 Hint: Consider how shifting affects the exponential function.
Question 2
Prove that if any continuous signal is convolved with the delta function, the total area under the resultant curve remains constant.
💡 Hint: Think about the definition of the integration of the delta function.
Challenge and get performance evaluation