Path Loss Models Based on Stochastic Rays

TL;DR

This paper introduces a novel stochastic ray-based model using percolation lattices to accurately predict path loss in wireless environments, validated against experimental data.

Contribution

It develops a new stochastic ray model with closed-form expressions for mean received power considering different constraints and lattice effects.

Findings

Model accurately predicts path loss in non line-of-sight conditions.

Closed-form formulations derived for different classes of stochastic rays.

Model validated with experimental data showing good agreement.

Abstract

In this paper, two-dimensional percolation lattices are applied to describe wireless propagation environment, and stochastic rays are employed to model the trajectories of radio waves. We first derive the probability that a stochastic ray undergoes certain number of collisions at a specific spatial location. Three classes of stochastic rays with different constraint conditions are considered: stochastic rays of random walks, and generic stochastic rays with two different anomalous levels. Subsequently, we obtain the closed-form formulation of mean received power of radio waves under non line-of-sight conditions for each class of stochastic ray. Specifically, the determination of model parameters and the effects of lattice structures on the path loss are investigated. The theoretical results are validated by comparison with experimental data.