Vishay 2310 Betriebsanweisung Seite 110

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Seitenansicht 109
103
The components of the Fourier series are given by






 














The Fourier series is therefore given by



The example of periodic square wave can be also used to illustrate Fourier approximation.
Consider a square wave of length 2L over the range [0, 2L]. The functional form of the
configuration
 
  
   
where H(x) is the Heaviside step function. Since
 , the function is odd,
so
, and








 

The Fourier series is therefore



-2
-1
0
1
2
0 2 4 6 8
N=1
-2
-1
0
1
2
0 2 4 6 8
N=3
Eq.45
Eq.46
Eq.47
Eq.48
Eq.49
Eq.50
Eq.51
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