compendium

transfer function


By the decomposition of a non-sinusoidal periodic generator voltage into a Fourier-series (equation (21)) you can calculate the effect of each harmonic itself in the network using the practices known from calculating alternating currents.
Due to the unequal frequency sensitivity of the impedance of the components L, C in the network we experience the so called linear distortions.
One cause (input parameter)

 
(47)
leads to the effect (output parameter)  
(48)
The calculation of the input spectrum Aen, φen to the output spectrum Aan, φ an is done using the so called transfer function of the circuit (the system) Normally it is the ratio of the phasor of an output parameter to the phasor of the input parameter causing it:  
(49)
The transfer function H(φnω ) is derived from the circuit using the practices known from calculating alternating currents .
When deriving the transfer function it is important to remember using :		  
 
or respectively  
 
for the complex resistance of the dummies