Practice - Fourier Transform and Properties
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Practice Questions
Test your understanding with targeted questions
Define the Fourier Transform.
💡 Hint: Think about the original on the time scale.
What is the purpose of the Inverse Fourier Transform?
💡 Hint: What do you need to return to the original function?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Fourier Transform do?
💡 Hint: Focus on what domain the signals originate from.
True or False: The Inverse Fourier Transform allows us to obtain the original signal from its frequency representation.
💡 Hint: Consider it a way to revert back to the original function.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a continuous function f(t) = cos(t) defined for all real numbers, compute its Fourier Transform and explain the result.
💡 Hint: Focus on how trigonometric functions are represented in frequency.
Using Parseval’s Theorem, prove that the total energy of a signal in time equals its total energy in frequency.
💡 Hint: Use the relationship defined in Parseval's Theorem explicitly.
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Reference links
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