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4 cards from this section. Quick, good the night before a test.
Define the Fourier Transform.
Think about the original on the time scale.
What is the purpose of the Inverse Fourier Transform?
What do you need to return to the original function?
What does the Fourier Transform do?
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.
Consider it a way to revert back to the original function.
Given a continuous function f(t) = cos(t) defined for all real numbers, compute its Fourier Transform and explain the result.
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.
Use the relationship defined in Parseval's Theorem explicitly.
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