# Fourier analysis

## Introduction edit

Fourier analysis is a method of analysing functions. These functions may be electrical signals (say, from an electronic circuit being tested), pure mathematical functions, or any kind of data being analysed on a computer. Regardless, if the function is single-valued, Fourier analysis can be used to produce an imperfect approximation.

## Basics edit

## The trigonometric form edit

Fourier analysis works by breaking down the function being considered into a **Fourier Series**. The Fourier Series, in simplest terms, is a summation of sine and cosine functions. Each of these trigonometric functions looks something like this:

## The exponential form edit

Consider f(x) as real valued function

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