Trigonometry - Fourier (Analysis|Synthesis)

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1 - About

Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

In the sciences and engineering,:

  • the process of decomposing a function into simpler pieces is often called Fourier analysis (Fourier transform)
  • while the operation of rebuilding the function (the inverse Fourier transformation) from these pieces is known as Fourier synthesis.