Open AccessDistribution of Path Loss for Wireless Personal Networks Operating in a Square Region
Author(s) -
Yang Rumin,
Shen Bin,
Kwak Kyung Sup
Publication year - 2011
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.11.0210.0218
Subject(s) - path loss , cumulative distribution function , transmitter , path (computing) , log distance path loss model , gaussian , probability density function , channel (broadcasting) , computer science , variable (mathematics) , wireless , cognitive radio , topology (electrical circuits) , function (biology) , spectrum (functional analysis) , distribution (mathematics) , telecommunications , mathematics , statistics , computer network , engineering , electrical engineering , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology
Path loss plays fundamental roles in system design, spectrum management, and performance evaluation. The traditional path loss model has a slight inconvenience; it depends on the unknown distance. In this letter, we explore the probability distribution function (PDF) of path loss in an indoor office environment by randomizing out the distance variable. It is shown that the resulting PDF is not Gaussian‐like but is skewed to the right, and both the PDF and the moments are related to the size of the office instead of the unknown distance. To be specific, we incorporate the IEEE 802.15.4a channel parameters into our model and tabulate the cumulative distribution function with respect to different room sizes. Through a simple example, we show how our model helps a cognitive spectrum user to infer path loss information of primary users without necessarily knowing their transmitter‐receiver distance.