Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles

Figure 1

For wireless communication networks, the entire space can be decomposed into disjoint triangles for the analysis of distance in two steps: (a) build a Voronoi diagram of which the base stations are the seeds and (b) decompose each Voronoi cell into disjoint triangles with the base station (black point, ) which serve as their common vertex.

(a)

(b)