Title
Maximum interference of random sensors on a line
Abstract
Consider n sensors whose positions are represented by n uniform, independent and identically distributed random variables assuming values in the open unit interval (0,1). A natural way to guarantee connectivity in the resulting sensor network is to assign to each sensor as range the maximum of the two possible distances to its two neighbors. The interference at a given sensor is defined as the number of sensors that have this sensor within their range. In this paper we prove that the expected maximum interference is Ω(ln ln n), and that for any ε0, it is O((ln n)1/2+ε).
Year
DOI
Venue
2010
10.1007/978-3-642-13284-1_16
SIROCCO
Keywords
Field
DocType
random sensor,possible distance,expected maximum interference,random variable,n sensor,sensor network,ln n,ln ln n,n uniform,open unit interval,independent and identically distributed
Topology,Unit interval,Independent and identically distributed random variables,Interference (wave propagation),Statistics,Wireless sensor network,Mathematics
Conference
Volume
ISSN
ISBN
6058
0302-9743
3-642-13283-9
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Evangelos Kranakis13107354.48
Danny Krizanc21778191.04
Lata Narayanan361362.78
Ladislav Stacho425935.64