Mathematical Model of MIMO

Abstract
Nowadays, unmanned aerial systems are widely using to solve various tasks. The main element of any unmanned aviation complex is controlling and data transmission channels. Existing scientific achievements do not fully take into consideration the effect of various destabilizing factors on the impedance of control and data transmission channels. In order to clarify the degree of influence of various destabilizing factors on the noise immunity of control channels and data transmission in the work, the authors developed a mathematical model of the MIMO system. The proposed model allows estimating the noise immunity of the MIMO system of unmanned aviation complexes under the influence of destabilizing factors. The difference between the developed model and the existing ones, which determines its novelty is that the proposed model is based on the new analytical relations for calculating the MIMO immunity index, which takes into consideration different types of intentional noise, selective signal fading, Doppler effect, inter-symbol interference, phase jitter and efficiency of the calculation of low signal/noise ratio in the channel. Using the proposed model allows analyzing the noise immunity of the MIMO system of unmanned aeronautical complexes and taking into consideration the influence of destabilizing factors. The proposed mathematical model of the MIMO system should be used to analyze the state of channels of unmanned aerial systems and to determine measures aimed at increasing the noise immunity of unmanned aerial systems channels.