Stochastic analysis of spatial and opportunistic aloha

By François Baccelli, Paul Mühlethaler, B. Błaszczyszyn. IEEE Journal on Selected Areas in Communications, 2009

327 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/ada8a2da1c54ed913481118fd23badaf2ac50cd8

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In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Throughput Optimization, Spectrum Allocation, and Access Control in Two-Tier Femtocell Networks (2012, unknown): “…(27) where (a) follows from Slivnyak Theorem [31]; (b) follows from the Laplace transform of h x ∼ Exp(1) and the independence of I m and I f ; (c) follows from letting s = r αi γ f /P f in the Laplace transforms of I (f) m and I (f) f [30]; and (d) follows from the Fundamental Theorem of Calculus.”
Stochastic Geometry for Modeling, Analysis, and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey (2013, unknown): “PPP [25]–[27], [32]–[35] [17]–[26], [35] [71] [32] [28]–[31], [71]”
Interference and Outage in Poisson Cognitive Networks (2012, background): “In addition, the Poisson process is a fundamental point process that is easy to handle analytically, and it provides bounds for the performance of more general network models.”
Stochastic geometry and random graphs for the analysis and design of wireless networks (2009, methodology): “I n [58], an expression for progress based on extremal shot nois e is derived, and in [61], the distribution and the mean value of the throughput of a typical user (as given by Shannon’s formula) are given using Fourier transform techniques.”
Joint Resource Partitioning and Offloading in Heterogeneous Cellular Networks (2013, background): “…partitioning ( 0 η 1 ), the SINR of a typical user u , when it belongs to U l , is where 11( A ) denotes the indicator of the event A , H y is the channel power gain from the tagged AP s l (AP serving the typical user) at a distance y , I y,k denotes the interference from the k th tier.”
A Tractable Approach to Coverage and Rate in Cellular Networks (2010, background): “2 of [24] but with some loss of tractability.”
Offloading in Heterogeneous Networks: Modeling, Analysis, and Design Insights (2012, background): “The general fading distributions can be considered at some loss of tractability [33].”
Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks (2011, methodology): “More complex channel distributions can be considered in this framework, e.g. in [29] a general interference fading model capable of handling any statistical distribution was used, and using the Fourier integral techniques in [34] general fading to the selected BS can also considered.”
Smart radio environments empowered by reconfigurable AI meta-surfaces: an idea whose time has come (2019, methodology): “The most suitable analytical tools and spatial models for representing the locations of the transmitters, receivers, and environmental objects in large-scale wireless networks are stochastic geometry and random spatial processes [93–108].”