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The Cauchy–Schwarz Divergence for Poisson Point Processes [PDF]

open access: yesIEEE Transactions on Information Theory, 2014
In this paper, we extend the notion of Cauchy-Schwarz divergence to point processes and establish that the Cauchy-Schwarz divergence between the probability densities of two Poisson point processes is half the squared $\mathbf{L^{2}}$-distance between their intensity functions. Extension of this result to mixtures of Poisson point processes and, in the
Hung Gia Hoang   +3 more
openaire   +3 more sources

Performance of Downlink NOMA in Vehicular Communication Networks: An Analysis Based on Poisson Line Cox Point Process

open access: yesIEEE Transactions on Vehicular Technology, 2020
In this paper we investigate downlink performance in a non-orthogonal multiple access (NOMA) based vehicular communication network. In contrast to the previous works wherein the vehicles are simply assumed to be located anywhere in the coverage area, we ...
Yanshi Sun   +4 more
semanticscholar   +1 more source

MODELLING THE POSITION OF CELL PROFILES ALLOWING FOR BOTH INHOMOGENEITY AND INTERACTION

open access: yesImage Analysis and Stereology, 2011
It is of interest to consider models for point processes that allow for interaction between the points as well as for inhomogeneity in the intensity of the points.
Linda Stougaard Nielsen
doaj   +1 more source

Original ArticleComputer simulation in 3D of a phase transformation nucleated by simple sequential inhibition process

open access: yesJournal of Materials Research and Technology, 2020
Analytical and numerical models of nucleation and growth transformations usually suppose that nuclei are located uniform randomly, i.e., according to a Poisson point process, within the matrix.
Harison da Silva Ventura   +4 more
doaj   +1 more source

On the classification problem for Poisson point processes

open access: yesJournal of Multivariate Analysis, 2017
We study the binary classification problem for Poisson point processes, which are allowed to take values in a general metric space. The problem is tackled in two different ways: estimating nonparametricaly the intensity functions of the processes (and then plugged into a deterministic formula which expresses the regression function in terms of the ...
Alejandro Cholaquidis   +3 more
openaire   +4 more sources

A Stochastically Geometrical Poisson Point Process Approach for the Future 5G D2D Enabled Cooperative Cellular Network

open access: yesIEEE Access, 2019
Due to recent developments in the cellular communication system, stochastic process implementation is necessary. The cellular communication system exhibits random patterns in various domains, thereby compelling the utilization of stochastic processes to ...
Faizan Qamar   +4 more
semanticscholar   +1 more source

Stein estimation of the intensity of a spatial homogeneous Poisson point process [PDF]

open access: yes, 2014
In this paper, we revisit the original ideas of Stein and propose an estimator of the intensity parameter of a homogeneous Poisson point process defined in R d and observed in a bounded window. The procedure is based on a new general integration by parts
M. Clausel   +2 more
semanticscholar   +1 more source

Deterministic walk on Poisson point process

open access: yesESAIM: Proceedings and Surveys, 2017
A deterministic walk on a Poisson point process in Rd is an oriented graph where each point of the process is connected to only one other point following a deterministic and stationary rule of connection.
Stum Simon Le
doaj   +1 more source

Spectrum Analysis of Millimeter Wave Heterogeneous Network Based on Poisson Cluster Process [PDF]

open access: yesJisuanji gongcheng, 2020
To address the problem of describing the correlation between User Equipment(UE) and base station space in large-scale hot spot communication scenarios,this paper constructs a millimeter wave heterogeneous network model based on Poisson Cluster Process ...
CHEN Yuwan, JIA Xiangdong, JI Pengshan, Lü Yaping
doaj   +1 more source

Coverage Performance of the Terrestrial-UAV HetNet Utilizing Licensed and Unlicensed Spectrum Bands

open access: yesIEEE Access, 2021
To address the spectrum shortage issue, the technology of sharing the unlicensed spectrum resource has been developed for terrestrial wireless networks, e.g., the New Radio Unlicensed technology.
Yifan Jiang   +3 more
doaj   +1 more source

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