A note on the simulation of the Ginibre point process

Decreusefond, Laurent; Flint, Ian; Vergne, Anaïs

doi:10.1239/jap/1450802749

Cited by 35 publications

(56 citation statements)

References 25 publications

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“…Moreover, the repulsion induced by a Ginibre point process is of electrostatic type, creating circles of equal repulsion if there is only one vertex for example. Due to space limitations, we will not delve into the technicalities of the Ginibre point process simulation but they are developed in [12]. We can see a realisation of our simulation for the recovery of the wireless network of Figure 1 in Figure 3.…”

Section: Determinantal Methodsmentioning

confidence: 99%

“…For ξ an infinite locally finite subset of R d , let us consider the continuoustime random walk (X ξ t ) t≥0 on ξ with infinitesimal generator given by (12). For x ∈ ξ, we denote by P ξ x the law of this random walk with initial condition X ξ 0 = x. Theorem 9 (see [43,Theorem 1] As for the previous results, the assumptions of Theorem 9 are satisfied by Poisson point processes, Matérn hardcore processes and Matérn cluster processes.…”

Section: Random Walks On Random Delaunay Triangulationsmentioning

confidence: 99%

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Stochastic Geometry: Boolean model and random geometric graphs

et al. 2015

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Abstract. This paper collects the four contributions which were presented during the session devoted to Stochastic Geometry at the journées MAS 2014. It is focused in particular on several questions related to the transmission of information in a general sense in different random media. The underlying models include the Boolean model, simplicial complexes or geometric random graphs induced by a point process.Résumé. Cet article propose les quatre contributions présentées lors de la session Géométrie stochastique des journées MAS 2014. Il est centré en particulier sur plusieurs questions de transmission de l'information au sens très général dans différents milieux aléatoires. Les modèles sous-jacents sont notamment le modèle Booléen, des complexes simpliciaux ou des graphes géométriques aléatoires engendrés par un processus ponctuel.

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Section: Determinantal Methodsmentioning

confidence: 99%

Section: Random Walks On Random Delaunay Triangulationsmentioning

confidence: 99%

Stochastic Geometry: Boolean model and random geometric graphs

et al. 2015

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“…2 The received signal at the hybrid receiver from the hybrid transmitter is impaired by the interference from Ψ. We assume that Φ and Ψ follow independent α-Ginibre point process (GPP) [39] which will be justified and detailed in Section III-B. For example, the RF energy harvester of the hybrid transmitter scavenges energy from LTE-A cellular mobiles on 1800 MHz.…”

Section: Network Model and Stochastic Geometry Characterization mentioning

confidence: 99%

“…Recent research work has adopted GPP in [47], α-GPP in [20]- [23] and β-GPP in [48] to model the distribution of cellular base stations. In this paper, the performance analysis of the hybrid D2D communications is based on α-GPP [39]. α-GPP is a repulsive point process which allows to characterize the repulsion among randomly located points and covers the PPP as a special case (i.e., when α → 0).…”

Section: B Geometric Modeling Of the Systemsmentioning

confidence: 99%

Wireless-Powered Device-to-Device Communications With Ambient Backscattering: Performance Modeling and Analysis

Jiang

Niyato

et al. 2018

IEEE Trans. Wireless Commun.

131

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The recent advanced wireless energy harvesting technology has enabled wireless-powered communications to accommodate wireless data services in a self-sustainable manner. However, wireless-powered communications rely on active RF signals to communicate, and result in high power consumption. On the other hand, ambient backscatter technology that passively reflects existing RF signal sources in the air to communicate has the potential to facilitate an implementation with ultra-low power consumption. In this paper, we introduce a hybrid D2D communication paradigm by integrating ambient backscattering with wireless-powered communications. The hybrid D2D communications are self-sustainable, as no dedicated external power supply is required. However, since the radio signals for energy harvesting and for backscattering come from the ambient, the performance of the hybrid D2D communications depends largely on environment factors, e.g., distribution, spatial density, and transmission load of ambient energy sources. Therefore, we design two mode selection protocols for the hybrid D2D transmitter, allowing a more flexible adaptation to the environment. We then introduce analytical models to characterize the impacts of the considered environment factors on the hybrid D2D communication performance. Together with extensive simulations, our analysis shows that the communication performance benefits from larger repulsion, transmission load and density of ambient energy sources. Further, we investigate how different mode selection mechanisms affect the communication performance. Index terms-Ambient backscatter, D2D communications, modulated backscatter, repulsion behavior wireless-powered communications. ).Recently, radio frequency (RF) energy harvesting [9], [10] has evolved as a promising energy replenishment solution to empower D2D communications with self-sustainability [11]- [14]. Technically, D2D transmitters can harvest energy from RF signals in the air for their operation. By utilizing the harvested energy, the D2D transmitters can communicate without relying on an external energy supply, which will technically and economically facilitate a massive deployment of D2D communication devices. Thus, a zero-energy communication paradigm can be virtually achieved.The recent advance in RF energy harvesting technologies has paved the way for two emerging green communication technologies, namely, wireless-powered communications [9], [15]-[17] and ambient backscatter communications [18], [19].• Wireless-powered communications utilize the harvested energy to generate RF signals for information transmission. The energy harvesting can be performed either opportunistically from ambient RF signal sources (e.g., cellular base stations and mobile terminals) [20] or in a more controlled way from dedicated RF power beacons [24]. A comprehensive survey of wireless-powered communications can be found in [25]. • Ambient backscattering performs data transmission based on modulated backscatter of existing RF signals, e.g., from TV base stations [1...

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“…It has recently been applied in the context of telecommunications systems, namely to model locations of base stations in a cellular network [19]. It can be defined iteratively using the following density (see, e.g., [6]):…”

Section: Ginibre Point Processmentioning

confidence: 99%

Probabilistic Modelling of Station Locations in Bicycle-Sharing Systems

Reijsbergen

2016

Lecture Notes in Computer Science

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Abstract. We present a simulation methodology for generating the locations of stations in Bicycle-Sharing Systems. We present several methods that are inspired by the literature on spatial point processes. We evaluate how the artificially generated systems compare to existing systems through a case study involving 11 cities worldwide. The method that is found to perform best is a data-driven approach in which we use a dataset of places of interest in the city to 'rate' how attractive city areas are for station placement. The presented methods use only non-proprietary data readily available via the Internet.

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A note on the simulation of the Ginibre point process

Cited by 35 publications

References 25 publications

Stochastic Geometry: Boolean model and random geometric graphs

Stochastic Geometry: Boolean model and random geometric graphs

Wireless-Powered Device-to-Device Communications With Ambient Backscattering: Performance Modeling and Analysis

Probabilistic Modelling of Station Locations in Bicycle-Sharing Systems

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