Distance Distributions Between Nodes in Concentric Disk-Annulus or Sphere-Shell Regions
Provides analytical tools for wireless network performance evaluation in concentric regions, but the contribution is incremental as it extends existing distance distribution results to specific geometries.
Derived closed-form expressions for distance distributions between nodes in concentric disk-annulus or sphere-shell regions, enabling tractable performance evaluation for wireless networks with heterogeneous geometries.
This letter derives closed-form expressions for the probability density function of the distance between two nodes located in heterogeneous concentric geometries, namely a disk or sphere and a surrounding annulus or spherical shell. Two scenarios are considered: (i) both nodes are independently distributed in different regions, disk or sphere and annulus or shell, and (ii) one node is static in the outer region while the other follows the stationary distribution of the random waypoint model in the inner region. The resulting expressions provide a tractable analytical tool for performance evaluation in concentric wireless regions.