%0 Generic %1 abdulla2013exact %A Abdulla, Mouhamed %A Shayan, Yousef R. %D 2013 %K exact loss model path %R 10.1145/1641776.1641797 %T An Exact Path-Loss Density Model for Mobiles in a Cellular System %U http://arxiv.org/abs/1306.0944 %X In trying to emulate the spatial position of wireless nodes for purpose of analysis, we rely on stochastic simulation. And, it is customary, for mobile systems, to consider a base-station radiation coverage by an ideal cell shape. For cellular analysis, a hexagon contour is always preferred mainly because of its tessellating nature. Despite this fact, largely due to its intrinsic simplicity, in literature only random dispersion model for a circular shape is known. However, if considered, this will result an unfair nodes density specifically at the edges of non-circular contours. As a result, in this paper, we showed the exact random number generation technique required for nodes scattering inside a hexagon. Next, motivated from a system channel perspective, we argued the need for the exhaustive random mobile dropping process, and hence derived a generic close-form expression for the path-loss distribution density between a base-station and a mobile. Last, simulation was used to reaffirm the validity of the theoretical analysis using values from the new IEEE 802.20 standard.

@misc{abdulla2013exact, abstract = {In trying to emulate the spatial position of wireless nodes for purpose of analysis, we rely on stochastic simulation. And, it is customary, for mobile systems, to consider a base-station radiation coverage by an ideal cell shape. For cellular analysis, a hexagon contour is always preferred mainly because of its tessellating nature. Despite this fact, largely due to its intrinsic simplicity, in literature only random dispersion model for a circular shape is known. However, if considered, this will result an unfair nodes density specifically at the edges of non-circular contours. As a result, in this paper, we showed the exact random number generation technique required for nodes scattering inside a hexagon. Next, motivated from a system channel perspective, we argued the need for the exhaustive random mobile dropping process, and hence derived a generic close-form expression for the path-loss distribution density between a base-station and a mobile. Last, simulation was used to reaffirm the validity of the theoretical analysis using values from the new IEEE 802.20 standard.}, added-at = {2013-12-23T06:52:37.000+0100}, author = {Abdulla, Mouhamed and Shayan, Yousef R.}, biburl = {https://www.bibsonomy.org/bibtex/216068633a6b2e1678e76ef5c0fb90e02/aeu_research}, description = {An Exact Path-Loss Density Model for Mobiles in a Cellular System}, doi = {10.1145/1641776.1641797}, interhash = {718dec16faf08d36967fd0a25c2f2ead}, intrahash = {16068633a6b2e1678e76ef5c0fb90e02}, keywords = {exact loss model path}, note = {cite arxiv:1306.0944Comment: Proc. of the 7th ACM International Symposium on Mobility Management and Wireless Access (MobiWac'09), held in conjunction with MSWiM'09}, timestamp = {2013-12-23T06:52:37.000+0100}, title = {An Exact Path-Loss Density Model for Mobiles in a Cellular System}, url = {http://arxiv.org/abs/1306.0944}, year = 2013 }