Results 261 to 270 of about 28,600 (293)

Modeling and Analysis of HetNets With Interference Management Using Poisson Cluster Process

IEEE Transactions on Vehicular Technology, 2021
In typical wireless heterogeneous networks (HetNets), users are clustered around known hotspots, e.g., shopping centers or schools, but such a non-uniform distribution of nodes is difficult to analyze. This paper explicitly models this scenario, with macro base stations (MBSs) modeled by a homogeneous Poisson point process (PPP), and millimeter-wave ...
Lihua Yang, Junhui Zhao, Teng Joon Lim
exaly   +2 more sources

User Rate and Energy Efficiency of HetNets Based on Poisson Cluster Process

2018 IEEE 87th Vehicular Technology Conference (VTC Spring), 2018
Heterogeneous 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
exaly   +2 more sources

Poisson cluster measures: Quasi-invariance, integration by parts and equilibrium stochastic dynamics [PDF]

Journal of Functional Analysis, 2009
The distribution µcl of a Poisson cluster process in X = Rd (with i.i.d. clusters) is studied via an auxiliary Poisson measure on the space of configurations in X = FnXn, with intensity measure defined as a convolution of the background intensity of ...
Leonid Bogachev, Alexei Daletskii
exaly   +3 more sources

Clustering Poisson Process and Burst Noise

Japanese Journal of Applied Physics, 1992
The theory of clustering Poisson process which generates a 1/f α spectral pattern has been discussed first by Grüneis and later by Grüneis and Baiter. Such a model has been applied to the burst noise phenomenon observed by us in the reverse biased emitter-base junctions of Germanium transistors of type AC 128.
M. Athiba Azhar M. Athiba Azhar, K. Gopala K. Gopala   +1 more
openaire   +1 more source

On interpoint distances for planar Poisson cluster processes

Journal of Applied Probability, 1983
For stationary Poisson or Poisson cluster processes ξ on R2 we study the distribution of the interpoint distances using the interpoint distance function and the nearest-neighbor indicator function . Here Sr (x) is the interior of a circle of radius r having center x, I(t) is that subset of D which has x ∊ D and St
Kryscio, Richard J., Saunders, Roy
openaire   +1 more source

Clustering Poisson Process and 1/f Noise

Japanese Journal of Applied Physics, 1986
A physical interpretation has been given to the clustering Poisson process which results in a 1/f spectrum; this model is compared with a model in which the 1/f spectrum is derived from a superposition of the Lorentzian spectra. For a point process, an expression has also been derived for the higher-frequency limit to 1/f fluctuations burried in ...
Ferdinand Grüneis, Toshimitsu Musha
openaire   +1 more source

A note on the non-homogeneous poisson cluster process

Journal of Applied Probability, 1977
It is proved that, in a non-homogeneous Poisson cluster process whose cluster centre rate is λ(t), the long-term behaviour of several associated quantities is equivalent to their behaviour in a homogeneous process with centre rate Λ and the same cluster structure if λ(t)→ λ as t→∞.
openaire   +1 more source

Prediction in a Poisson cluster model with multiple cluster processes

Scandinavian Actuarial Journal, 2013
AbstractWe consider a simple but flexible extension of the Poisson cluster model studied in Matsui & Mikosch (2010). In the former, model only a single cluster process starts at each jump point of the Poisson process, whereas we start a randomly given number of cluster processes at each jump.
openaire   +1 more source

The Poisson Processes in Cluster Analysis

2010
This paper aims to review some use of the point processes in cluster analysis. The homogeneous Poisson process is, in many ways, the simplest point process, and it plays a role in point process theory in most respects analogous to the normal distribution in the study of random variables.
openaire   +1 more source

Count distributions, orderliness and invariance of Poisson cluster processes

Journal of Applied Probability, 1979
The probability generating functional (p.g.fl.) of a non-homogeneous Poisson cluster process is characterized in Ammann and Thall (1977) via a decomposition of the KLM measure of the process. This p.g.fl. representation is utilized in the present article to show that the family 𝒟 of Poisson cluster processes with a.s. finite clusters is invariant under
Ammann, Larry P., Thall, Peter F.
openaire   +2 more sources