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Rate Coverage of a Cellular Network with Users Distributed as Poisson Cluster Process

2020 54th Asilomar Conference on Signals, Systems, and Computers, 2020
The analytical modeling of cellular networks using stochastic geometry has gone through a major transition with the emergence of Poisson cluster process (PCP)-based random spatial models. The main motivation of using the PCP-based network models is the resemblance with the spatial patterns of the users and small cells in third generation partnership ...
Chiranjib Saha   +2 more
openaire   +1 more source

Nonlinear estimation problems of poisson cluster processes

2006
Doubly stochastic Poisson processes whose unobservable intensity is a shot-noise process with random amplitude arise when each event of a primary Poisson process generates a random number of subsidiary events. We derive a stochastic partial differential equation for the unnormalized conditional moment generating function.
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A Fine-grained Analysis of Wireless Powered Communication with Poisson Cluster Process

2019 11th International Conference on Wireless Communications and Signal Processing (WCSP), 2019
Wireless powered communication (WPC)can provide the wireless devices (WDs)practically infinite energy for information transmission, by deploying multiple power beacons (PBs)as dedicated energy transmitter. To enable efficient transmission in WPC, this paper proposes a PB deployment strategy where the distribution of PBs is subject to a truncated ...
Siyuan Zhou   +3 more
openaire   +1 more source

Secure Transmissions of D2D Underlay Cellular Networks with Poisson Cluster Process

2019 IEEE Global Communications Conference (GLOBECOM), 2019
Recently, device-to-device (D2D) communication has emerged as a promising solution to meet rapidly growing demands for data services. This paper studies the physical layer security of D2D underlay cellular network, where the D2D and cellular communications coexist in the network, in the presence of randomly distributed eavesdroppers (Eves).
Jiawei Lyu   +4 more
openaire   +1 more source

Results in the asymptotic and equilibrium theory of Poisson cluster processes

Journal of Applied Probability, 1973
This paper contains a detailed study of the Poisson cluster process on the real line, concentrating on two aspects; first, the asymptotic distribution of the number of points in [0,t) as t→ ∞ for both transient and equilibrium cluster processes and, secondly, a general formula for the probability generating function of the equilibrium process ...
openaire   +1 more source

Note on the determination of cluster centers from a realization of a multidimensional Poisson cluster process

Journal of Applied Probability, 1983
This is the sequel to a previous paper (Baudin (1981)). The joint probability generating functional of two point processes is introduced as a tool to compute the conditional intensity of the process of cluster centers of a multidimensional Poisson cluster process when a realization is given in a bounded observation window.
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Clustering procedures for sample paths from poisson processes

1989
Il a été supposé que les observations disponibles consistent de n échantillonsde segments trajets provenant chacun de m processus ponctuels possibles. L'objetest de classer chaque segment comme ayant pris son origine à partir d'un des mprocessus. Le problème est une extension du problème classique de groupement oùla classification est constituée de ...
openaire   +1 more source

Extremes of claim sizes for marked Poisson cluster processes

2019
We use the theory of point processes to study asymptotic distribution of the maximal claim size for marked Poisson cluster models, in which marks determine the size and other characteristics of the individual claims and potentially influence arrival rate of the future claims.
Basrak, Bojan, Žugec, Petra
openaire   +1 more source

Meta Distribution of Downlink SIR in a Poisson Cluster Process-Based HetNet Model

IEEE Wireless Communications Letters, 2020
Chiranjib Saha   +2 more
exaly  

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