Fourier series analysis

Fourier series analysis:

Fourier  series:  a  complicated  waveform  analyzed  into  a  number  of  harmonically related sine and cosine functions

A two parts tutorial on Fourier series. In the first part an example is used to show how Fourier coefficients are calculated and in a second part you may use an applet to further explore Fouries series of the same function.

Fourier series may be used to represent periodic functions as a linear combination of sine and cosine functions. If f(t) is a periodic function of period T, then under certain conditions, its Fourier series is given by:

where n = 1 , 2 , 3 , ... and T is the period of function f(t). an and bn are called Fourier coefficients and are given by