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User Rate and Energy Efficiency of HetNets Based on Poisson Cluster Process
2018 IEEE 87th Vehicular Technology Conference (VTC Spring), 2018Heterogeneous cellular networks (HetNets) consist of different tiers of base stations (BSs) to meet the ever-increasing mobile traffic demand. Random deployment of various BSs has mostly been assumed to satisfy a Poisson point process (PPP). However, low power small cells are usually clustered around the popular areas, and PPP does not reflect such a ...
Fu-Chun Zheng
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Secure Transmissions of D2D Underlay Cellular Networks with Poisson Cluster Process
2019 IEEE Global Communications Conference (GLOBECOM), 2019Recently, 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
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On the local delay and energy efficiency of HetNets under Poisson cluster processes
2017 9th International Conference on Wireless Communications and Signal Processing (WCSP), 2017To satisfy the requirement of increasing mobile traffic, heterogeneous networks (HetNets) will be deployed for the fifth generation (5G) mobile communications systems. Since the deployment of base stations (BSs) in HetNets is generally dense and random, stochastic geometry has increasingly been used to analyze the performance of HetNets.
Xiaojie Dong, Fu-Chun Zheng, Xu Zhu 0001
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Results in the asymptotic and equilibrium theory of Poisson cluster processes
Journal of Applied Probability, 1973This 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 ...
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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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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
1989Il 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 ...
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Extremes of claim sizes for marked Poisson cluster processes
2019We 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
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Meta Distribution of Downlink SIR in a Poisson Cluster Process-Based HetNet Model
IEEE Wireless Communications Letters, 2020Chiranjib Saha +2 more
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Asymptotic results for Poisson cluster processes
Advances in Applied Probability, 1974openaire +1 more source

