Practice Delta Function in Fourier Transforms - 12.9 | 12. Dirac Delta Function | Mathematics (Civil Engineering -1)
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12.9 - Delta Function in Fourier Transforms

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Learning

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 what it means for a signal to be constant across frequencies.

Question 2

Easy

How does the Dirac delta function behave at points other than zero?

💡 Hint: Recall the properties of the delta function.

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 the Dirac delta function?

  • 0
  • 1

💡 Hint: Consider the definition of the delta function in frequency analysis.

Question 2

True or False: The inverse Fourier transform of a constant signal is a delta function.

  • True
  • False

💡 Hint: Think about how signals reconstruct through Fourier analysis.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A signal is modeled as a sum of delta functions representing impulses at various times. How would you express the Fourier transform of this signal?

💡 Hint: Consider the linearity of Fourier transforms.

Question 2

Demonstrate how a delta function affects the response of a linear time-invariant system when suddenly excited.

💡 Hint: Think about integration in engineering dynamics.

Challenge and get performance evaluation