naa a22 4500 510792707 CHVBK 20180411083325.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s11277-012-0887-9 doi (NATIONALLICENCE)springer-10.1007/s11277-012-0887-9 Baltzis Konstantinos Radio Communications Laboratory, Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece aut Distance Distribution in Convex n -Gons: Mathematical Framework and Wireless Networking Applications [Elektronische Daten] [Konstantinos Baltzis] The performance of a wireless network is related to the Euclidean distance distribution between the communication nodes, which in turn depends on network geometry. In this paper, we provide an analytical framework for the description of distance statistics in convex polygons with arbitrary number and length of sides. Simulation results validate the formulation. Comparisons with models in the literature indicate that our approach is a generalization of previous works. Representative examples show the merits of the proposal and assess its applicability in wireless networking. The main contribution of this work is the consideration of polygonal-shaped networks. The obtained formulation reduces the complexity and computational cost of the modeling and simulation of wireless systems and it is more convenient than other approaches when network planning considers n-gonal coverage areas. Moreover, it provides adequate results for the calculation of distance-dependent parameters and performance metrics of wireless networks. Springer Science+Business Media New York, 2012 Euclidean distance nationallicence Polygon nationallicence Distance-related metrics nationallicence Routing protocol nationallicence Voronoi diagram nationallicence Wireless network nationallicence Wireless Personal Communications Springer US; http://www.springer-ny.com 71/2(2013-07-01), 1487-1503 0929-6212 71:2<1487 2013 71 11277 https://doi.org/10.1007/s11277-012-0887-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11277-012-0887-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Baltzis Konstantinos Radio Communications Laboratory, Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece aut NATIONALLICENCE 773 0- Wireless Personal Communications Springer US; http://www.springer-ny.com 71/2(2013-07-01), 1487-1503 0929-6212 71:2<1487 2013 71 11277 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer