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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: This signifies a representation across all frequencies.
Question 2
Easy
What does the inverse Fourier transform of 1 yield?
💡 Hint: Think about what the delta function represents in the time domain.
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
- δ(x)
💡 Hint: Think of it as having equal contributions at all frequencies.
Question 2
True or False: The inverse Fourier transform of 1 gives δ(x).
- True
- False
💡 Hint: Consider the relationship between constants and impulses.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A system is subjected to an instantaneous force represented by F(t) = F₀δ(t). How does this affect its response in the frequency domain?
💡 Hint: Consider how the delta function impacts system behavior at different frequencies.
Question 2
For a given signal represented as x(t) = A * δ(t-t₀), calculate its Fourier transform and interpret the result in engineering terms.
💡 Hint: Think about how an impulse represents total energy at a specific moment.
Challenge and get performance evaluation