The Effective Ray-Tracing Algorithm for Analysis of mm-Wave V2V Propagation Channels

The author presents the numerical and empirical analysis of the recently introduced by the author and now improved fast ray-tracing algorithm for calculation of stochastic electromagnetic fields in mm-wave vehicle-to-vehicle propagation channel having random geometrical parameters. The support Ω
c
of these random variables is electrically very large for the mm-wave band what enforces very long computation times of random electromagnetic fields when ordinary Mone-Carlo (MC) or Polynomial Chaos Expansion (PCE) methods are implemented. The author's algorithm takes advantage of the arbitrary Polynomial Chaos (aPC) to derive the PCE meta-models having random parameters whose support has the size which is a small fraction of the support Ω
c
. The large decrease in the size of the random variables support enables to obtain the percentiles (e.g. median) of an attenuation of the mm-wave propagation channel in a relatively very short time. The numerical accuracy of the improved algorithm is verified using the reference Monte-Carlo method. The lamp posts, tree trunks are included in the ray-tracing simulation what was not done in the previous work. The simulation results are compared with the measurement results taken from the literature.