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Stochastic Geometry for Wireless Networks
TLDR
This rigorous introduction to stochastic geometry will enable you to obtain powerful, general estimates and bounds of wireless network performance and make good design choices for future wireless architectures and protocols that efficiently manage interference effects.
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Interference in Large Wireless Networks
TLDR
For certain classes of node distributions, most notably Poisson point processes, and attenuation laws, closed-form results are available, for both the interference itself as well as the signal-to-interference ratios, which determine the network performance.
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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.
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Stochastic Geometry for Modeling, Analysis, and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey
TLDR
This article presents a comprehensive survey on the literature related to stochastic geometry models for single-tier as well as multi-tier and cognitive cellular wireless networks, and discusses the open research challenges and future research directions.
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Interference and Outage in Clustered Wireless Ad Hoc Networks
  • R. Ganti, M. Haenggi
  • Computer Science, Mathematics
    IEEE Transactions on Information Theory
  • 16 June 2007
TLDR
This paper derives the distributional properties of the interference and provides upper and lower bounds for its distribution, and considers the probability of successful transmission in an interference-limited channel when fading is modeled as Rayleigh.
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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.
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The Meta Distribution of the SIR in Poisson Bipolar and Cellular Networks
  • M. Haenggi
  • Computer Science, Mathematics
    IEEE Transactions on Wireless Communications
  • 4 June 2015
TLDR
The meta distribution of the SIR is focused on, which is the Distribution of the conditional success probability Ps given the point process, and provides bounds, an exact analytical expression, and a simple approximation for it.
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Distance Distributions in Finite Uniformly Random Networks: Theory and Applications
TLDR
A more-realistic network model where a known and fixed number of nodes are independently distributed in a given region is considered and the distribution of the Euclidean internode distances follows a generalized beta distribution.
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A primer on spatial modeling and analysis in wireless networks
TLDR
The objective of this article is to illustrate the power of spatial models and analytical techniques in the design of wireless networks, and to provide an entry-level tutorial.
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On distances in uniformly random networks
  • M. Haenggi
  • Computer Science, Mathematics
    IEEE Transactions on Information Theory
  • 1 October 2005
TLDR
The density function of the distance to the n-nearest neighbor of a homogeneous process in Ropfm is shown to be governed by a generalized Gamma distribution, which has many implications for large wireless networks of randomly distributed nodes.
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