effective value

The effective value (also called the quadratic average value) of the equation f(t) is calculated so

 
(34)
If the graph of the equation f(t) is available, the effective value can be calculated using a step by step approximation of the characteristics of the graph according to equation (15).
Using the equation for the Fourier Series, one obtains:
 
(35)

Because of the orthogonality of the trigonometric functions on the interval of [t0, t0+T], equation (35) becomes:

 
(36)
the Parseval theorem. For the spectral representations (equations (21), (16)) one obtains the equations (24), (20), (27)  

beispiel 5