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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.04794 |
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| _version_ | 1866914534652903424 |
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| author | Vaiopoulos, Nicholas Vavoulas, Alexander Sandalidis, Harilaos G. Delibasis, Konstantinos K. |
| author_facet | Vaiopoulos, Nicholas Vavoulas, Alexander Sandalidis, Harilaos G. Delibasis, Konstantinos K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04794 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distance Distributions Between Nodes in Concentric Disk-Annulus or Sphere-Shell Regions Vaiopoulos, Nicholas Vavoulas, Alexander Sandalidis, Harilaos G. Delibasis, Konstantinos K. Information Theory Signal Processing 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. |
| title | Distance Distributions Between Nodes in Concentric Disk-Annulus or Sphere-Shell Regions |
| topic | Information Theory Signal Processing |
| url | https://arxiv.org/abs/2605.04794 |