Simple random walk models for wireless terminal movements

This paper develops a decomposable two-dimensional random walk model to represent the mobile terminal movements in a cellular wireless network. The model is rather general and can capture trajectories where mobiles typically tend to move in roughly a straight line, with occasional backtracking and fluctuation. We determine the probability distribution of the time until a mobile in a circular cell crosses an exit point, given a starting point, by a combination of a two independent random walks: a horizontal random walk on a straight path chosen by a random direction from the starting point and another random walk on a line perpendicular to the horizontal line. Analysis is carried for when the cell cross over point is determined by a distance-based criterion and numerical examples are given