A Fast Stochastic Ray-Tracing Method for the 5G Vehicle-to-Vehicle Communication

The paper presents the new stochastic ray-tracing method, which enables fast and accurate calculations of distributions of electromagnetic fields for the 5G frequency band, including millimeter waves in a vehicle-to-vehicle propagation channel having random geometrical parameters. The uncertainties of obstacles positions and their sizes, as well as positions of transmitting and receiving antennas, can be considered using the new method. It allows easily to implement uncertainties of antennas phase and magnitude characteristics to the analysis of a stochastic channel model. The method takes advantage of the arbitrary polynomial chaos and the proper transformation of random variables representing geometrical parameters of the propagation channel. The new method is verified using the reference Monte Carlo approach.