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Chapter: Signals and Systems - Analysis of Continuous Time Signals

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Fourier series analysis

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

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




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