Fourier transformation - Simple English Wikipedia, the free encyclopedia

# Fourier transformation

### From Simple English Wikipedia, the free encyclopedia

| The English used in this article may not be easy for everybody to understand. You can help Wikipedia by making this page or section simpler.

A fourier transformation is a method used to solve differential equations. To fourier transform a function f(x), integral calculus is used. The operation to integrate the function multiplied by an exponent function e^ikx (where e is the exponential constant 2.871, i is the square root of -1, and k is just an arbitrary constant) with limits minus infinity and plus infinity. The answer will be a function of k, g(k).

When fourier transform of the derivative of a function f(x), is simply g(k) multiplied by i*k.

To solve for f(x) in a differential equation, fourier transform both sides of the equation, and use algebra to solve for g(k). Then an inverse transform will get back the original f(x).

Retrieved from "http://simple.wikipedia.org../../../f/o/u/Fourier_transformation.html"

Categories: Complex pages | Mathematics

##### Views

- Article
- Talk
- Newest version

##### Search