Title
Density Estimation in Randomly Distributed Wireless Networks
Abstract
Networks of randomly distributed nodes appear in various fields, including forestry and wireless communications, and can often be modeled, using stochastic geometry theory, as Poisson point processs (PPPs). In these contexts, estimation of nodes density is important for monitoring and optimizing the network. Originally, this problem has been addressed in forestry where the trees are the nodes and, assuming these are distributed according to an infinite two-dimensional homogeneous PPP, the spatial density can be estimated by measuring the distances from one reference tree to its neighbors. However, in many other scenarios, nodes could result invisible with some probability, for example depending on distance. In this paper, we derive the Cramér-Rao bounds and new estimators for the node spatial density, taking into account a limited capability in sensing neighbors. As an example, we provide estimators of the spatial density of transmitting devices in wireless networks with links affected by thermal noise, path loss, and shadowing.
Year
DOI
Venue
2022
10.1109/TWC.2022.3151918
IEEE Transactions on Wireless Communications
Keywords
DocType
Volume
Spatial density estimation,Poisson point processes,Cramér-Rao bounds,maximum likelihood estimation,stochastic geometry,wireless networks
Journal
21
Issue
ISSN
Citations 
8
1536-1276
0
PageRank 
References 
Authors
0.34
37
3
Name
Order
Citations
PageRank
Lorenzo Valentini100.34
Andrea Giorgetti211010.93
Marco Chiani31869134.93