output spectrum


One obtains the output spectrum from equation no.(49)

 
(50)
The amplitude ratio is called the amplitude response of the circuit. The phase relation is called phase response. Since the Fourier Coefficient Cn already represents the complex amplitude of a rotating phasor, linear distortions are calculated using the complex Fourier Series (equation(16)) in systems engineering.
The calculation can be limited to n ≥ 0 because of the symmetry of the spectras.
The relations now are:
 
(51)
(52)
(53)
(54)
Within the scope of this programm, the following examples of linear distortion are discussed: the distortionless transmission (of a phase compensating voltage divider),low-pass filtering (R-C combination as a simple low pass filter, double low pass-filers), high-pass filtering (R-C combination as a simple high pass filter), configurations with a band-pass-filter character (series resonant circuit, R-C combination) and band-elemination filter (R-C combination).
Use the experiments on linear distortion to comprehend the examples.