Application of spectral approximation to model the dynamic properties of wireless communication channels

Abstract

This work is devoted to the application of approximation methods for modeling wireless radio communication channels. The rationale and prospects of the use of unmanned aerial vehicles as part of flying self-organizing networks for the transmission of high-speed information in the conditions of «smart cities» are demonstrated. The problem of using these networks is also referred, associated with the technical complexity of ensuring acceptable reliability and quality of wireless communication, associated with the multipath of signal propagation and a number of other factors. It is shown that in this aspect, the development of mathematical modeling methods of analyzing signals at the inputs of UAV radio receivers in order to evaluate their amplitude- phase transformations by a communication channel is of special significance. It has been established that the connection between the signals on the transmitting and receiving sides of an arbitrary wireless radio communication channel, assuming its linearity, can be uniquely determined by a complex transfer function in the frequency domain, which in practice is very complex and difficult to describe analytically. In this regard, an approach to its approximation by an equivalent model, described by fractional- rational functions of a complex variable, physically realized by mixed connections of various linear inertial and inertial links, is proposed, and for modeling dynamic characteristics, a numerical-a nalytical modeling technique based on the spectral method and piecewise linear approximation. A results of applying the proposed solutions are shown.