Practice Important Standard Fourier Transforms - 11.6 | 11. Fourier Transform and Properties | Mathematics (Civil Engineering -1)
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Fourier Transform of the Dirac delta function?

💡 Hint: Think about the property of impulse signals.

Question 2

Easy

What is the Fourier Transform of e^(-at)u(t)?

💡 Hint: Consider what happens to exponential decay in the frequency space.

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 Fourier Transform of δ(t)?

  • 1
  • 2πδ(ω)
  • 0

💡 Hint: Consider impulse response.

Question 2

True or false: The Fourier Transform of e^(-at)u(t) is 1/(a+iω).

  • True
  • False

💡 Hint: Think about the behavior of decaying signals.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find the Fourier Transform of a signal composed of both sin(2t) and cos(2t).

💡 Hint: Use linearity of transforms.

Question 2

Derive the Fourier Transform for a piecewise rectangular function.

💡 Hint: Break it into manageable segments.

Challenge and get performance evaluation