Practice Convolution Theorem - 11.3.6 | 11. Fourier Transform and Properties | Mathematics (Civil Engineering -1)
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Practice Questions

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Question 1

Easy

What does the convolution of two functions represent?

💡 Hint: Think about interactions between two shapes.

Question 2

Easy

What symbol is used to denote convolution?

💡 Hint: It's a simple symbol you would recognize.

Practice 3 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 the Convolution Theorem state?

  • Convolution in the time domain results in addition in the frequency domain.
  • Convolution in the time domain results in multiplication in the frequency domain.
  • Convolution in the time domain results in transformation in the frequency domain.

💡 Hint: Think about how operations translate between domains.

Question 2

True or False: The function denoted by f(t) * g(t) refers to their addition.

  • True
  • False

💡 Hint: Recall the definitions discussed earlier.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given two functions f(t) = cos(2πt) and g(t) = u(t), compute the convolution of these two functions.

💡 Hint: Setup the integral for convolution and apply Fourier Transform if necessary.

Question 2

Explain how the Convolution Theorem could be utilized in designing filters for audio signals.

💡 Hint: Think about signal processing in terms of frequency components.

Challenge and get performance evaluation