Presentation of the theoretical background for computer modelling and hearing-experiments is the goal of the paper. The non-linear model in the form of differential equations set for basic types of loudspeaker systems (closed-, vented- and passive radiator box) is derived and then applied for detailed analysis of contribution of main non-linearity sources to total non-linear product. The electric equivalent circuits being the basis for model equation formulation, contain elements which magnitudes change with membrane displacement, namely: the electro-dynamic force factor B1, suspensions stiffness of the driver Kd, passive radiator Kp and the box Ke. The quantitative evaluation of non-linear distortion is based on frequency characteristics of THD for input sine signal. Simultaneously one can subjectively evaluate the distortion level on the base of simulated acoustic output for different samples of natural sound signal. For preservation of full band-width impression, the input signal is split into two bands - low and high frequency, the low frequency component is processed in non-linear model and finally two signals are summed together. The Runge-Kutta method is used for the differential equations integration during the non-linear signal processing. The input and output signals for audio presentations are stored in the way files although real time analysis would be possible as well
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