11.6 - Important Standard Fourier Transforms
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Practice Questions
Test your understanding with targeted questions
What is the Fourier Transform of the Dirac delta function?
💡 Hint: Think about the property of impulse signals.
What is the Fourier Transform of e^(-at)u(t)?
💡 Hint: Consider what happens to exponential decay in the frequency space.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Fourier Transform of δ(t)?
💡 Hint: Consider impulse response.
True or false: The Fourier Transform of e^(-at)u(t) is 1/(a+iω).
💡 Hint: Think about the behavior of decaying signals.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Find the Fourier Transform of a signal composed of both sin(2t) and cos(2t).
💡 Hint: Use linearity of transforms.
Derive the Fourier Transform for a piecewise rectangular function.
💡 Hint: Break it into manageable segments.
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