- A Fourier Transform changes a function's domain from time to frequency
Given a function in the time domain, , a Fourier Transform produces a function where u is a frequency and returns a complex number whose real component gives the amplitude of the sine wave at frequency and whose imaginary component gives the phase.
A More Mathematical Explanation
The equation for the Fourier Transform where f(t) is a discrete function with domain '"`UNIQ--math-0 [...]
The equation for the Fourier Transform where f(t) is a discrete function with domain is
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Future Directions for this Page
A more mathematical explanation and proof of the formula.
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