Stochastic geometry based models for modeling cellular networks in urban areas

@article{Lee2013StochasticGB,
  title={Stochastic geometry based models for modeling cellular networks in urban areas},
  author={Chia-han Lee and Cheng-Yu Shih and Yu-Sheng Chen},
  journal={Wireless Networks},
  year={2013},
  volume={19},
  pages={1063-1072}
}
Recently a new approach to modeling cellular networks has been proposed based on the Poisson point process (PPP). Unlike the traditional, popular hexagonal grid model for the locations of base stations, the PPP model is tractable. It has been shown by Andrews et al. (in IEEE Trans Commun 59(11):3122–3134, 2011) that the hexagonal grid model provides upper bounds of the coverage probability while the PPP model gives lower bounds. In this paper, we perform a comprehensive comparison of the PPP… 
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References

SHOWING 1-10 OF 12 REFERENCES
Pairwise interaction processes for modeling cellular network topology
In industry, cellular tower locations have primarily been modeled by a deterministic hexagonal grid. Since real deployments are rarely regular, the even spacing between nodes in the grid and constant
A Tractable Approach to Coverage and Rate in Cellular Networks
TLDR
The proposed model is pessimistic (a lower bound on coverage) whereas the grid model is optimistic, and that both are about equally accurate, and the proposed model may better capture the increasingly opportunistic and dense placement of base stations in future networks.
Modeling Spatial Structure of Wireless Communication Networks
TLDR
The results indicate that the so-called Geyer saturation model can accurately reproduce the spatial structure of a large variety of wireless network types, arising from both planned or chaotic deployments.
Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks
TLDR
This paper develops a tractable, flexible, and accurate model for a downlink heterogeneous cellular network (HCN) consisting of K tiers of randomly located BSs, where each tier may differ in terms of average transmit power, supported data rate and BS density.
Stochastic geometry and random graphs for the analysis and design of wireless networks
TLDR
This tutorial article surveys some of these techniques based on stochastic geometry and the theory of random geometric graphs, discusses their application to model wireless networks, and presents some of the main results that have appeared in the literature.
Interference and Outage in Poisson Cognitive Networks
TLDR
Bounds for the interference and the outage probability are derived, and it is shown how to use a Poisson cluster process to model the interference in this kind of network.
Stochastic geometry and architecture of communication networks
TLDR
It is shown how several performance evaluation and optimization problems within this framework can actually be posed and solved by computing the mathematical expectation of certain functionals of point processes.
Mean Interference in Hard-Core Wireless Networks
  • M. Haenggi
  • Computer Science
    IEEE Communications Letters
  • 2011
TLDR
It turns out that despite the similarity of the two models, they behave rather differently, for type I, the excess interference increases exponentially in the hard-core distance, while for type II, the gap never exceeds 1 dB.
Spatial Point Processes and their Applications
TLDR
These lectures will introduce some basic techniques for constructing, manipulating and analysing spatial point patterns.
Stochastic Geometry and Its Applications
TLDR
Random Closed Sets I--The Boolean Model. Random Closed Sets II--The General Case.
...
1
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