scholarly journals Base Station Design and Siting Based on Stochastic Geometry

10.5772/55493 ◽  
2013 ◽  
Author(s):  
Hui Zhang ◽  
Yifeng Xie ◽  
Liang Feng ◽  
Ying Fang
Keyword(s):  
Stochastic Geometry ◽  
Base Station

Moving Aerial Base Station Networks: A Stochastic Geometry Analysis and Design Perspective

2019 ◽  
Vol 18 (6) ◽  
pp. 2977-2988 ◽  
Author(s):  
Saeede Enayati ◽  
Hamid Saeedi ◽  
Hossein Pishro-Nik ◽  
Halim Yanikomeroglu
Keyword(s):  
Stochastic Geometry ◽  
Base Station ◽  
Analysis And Design ◽  
Design Perspective ◽  
Geometry Analysis

scholarly journals Stochastic Geometry Analysis of Downlink Spectral and Energy Efficiency in Ultradense Heterogeneous Cellular Networks

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Jiaqi Lei ◽  
Hongbin Chen ◽  
Feng Zhao
Keyword(s):  
Energy Efficiency ◽  
Cellular Networks ◽  
Stochastic Geometry ◽  
Density Ratio ◽  
Base Station ◽  
Small Cell ◽  
Base Stations ◽  
Heterogeneous Cellular Networks ◽  
Downlink Throughput ◽  
The Impact

The energy efficiency (EE) is a key metric of ultradense heterogeneous cellular networks (HCNs). Earlier works on the EE analysis of ultradense HCNs by using the stochastic geometry tool only focused on the impact of the base station density ratio and ignored the function of different tiers. In this paper, a two-tier ultradense HCN with small-cell base stations (SBSs) and user equipments (UEs) densely deployed in a traditional macrocell network is considered. Firstly, the performance of the ultradense HCN in terms of the association probability, average link spectral efficiency (SE), average downlink throughput, and average EE is theoretically analyzed by using the stochastic geometry tool. Then, the problem of maximizing the average EE while meeting minimum requirements of the average link SE and average downlink throughput experienced by UEs in macrocell and small-cell tiers is formulated. As it is difficult to obtain the explicit expression of average EE, impacts of the SBS density ratio and signal-to-interference-plus-noise ratio (SINR) threshold on the network performance are investigated through numerical simulations. Simulation results validate the accuracy of theoretical results and demonstrate that the maximum value of average EE can be achieved by optimizing the SBS density ratio and the SINR threshold.

On Base Station Coordination in Cache- and Energy Harvesting-Enabled HetNets: A Stochastic Geometry Study

2018 ◽  
Vol 66 (7) ◽  
pp. 3079-3091 ◽  
Author(s):  
Huici Wu ◽  
Xiaofeng Tao ◽  
Ning Zhang ◽  
Danyang Wang ◽  
Shan Zhang ◽  
...  
Keyword(s):  
Energy Harvesting ◽  
Stochastic Geometry ◽  
Base Station ◽  
Base Station Coordination

scholarly journals Transmit Antenna Selection Schemes for NOMA with Randomly Moving Interferers in Interference-Limited Environment

Electronics ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 36
Author(s):  
Dinh-Thuan Do ◽  
Thanh-Luan Nguyen ◽  
Byung Moo Lee
Keyword(s):  
Stochastic Geometry ◽  
Multiple Access ◽  
Poisson Point Process ◽  
Antenna Selection ◽  
Ergodic Capacity ◽  
Base Station ◽  
Selection Strategy ◽  
Practical Consideration ◽  
Transmit Antenna Selection ◽  
Spatial Topology

In this paper, non-orthogonal multiple access (NOMA) is studied at downlink under impact of surrounding interference. This study benefits the practical NOMA system since spatially random interference is adopted. More specifically, we consider the antenna selection strategy applied at the base station and compare the performance of two users. By applying a stochastic geometry-based model, homogeneous Poisson point process (PPP) is employed to consider the spatial topology of interference which is located near to users, and such a model is extremely suitable for practical consideration. We first consider outage probability and then ergodic capacity is examined as main metrics to recommend such model in practice. According to the considered antenna section scheme of the base station, we compare these schemes related to selected antenna serving each user. To confirm exactness of derived expressions, we perform Monte Carlo simulations to verify the analytical results.

scholarly journals A Statistical Estimation of 5G Massive MIMO Networks’ Exposure Using Stochastic Geometry in mmWave Bands

2020 ◽  
Vol 10 (23) ◽  
pp. 8753
Author(s):  
Maarouf Al Hajj ◽  
Shanshan Wang ◽  
Lam Thanh Tu ◽  
Soumaya Azzi ◽  
Joe Wiart
Keyword(s):  
Stochastic Geometry ◽  
Massive Mimo ◽  
Multiple Input Multiple Output ◽  
Path Loss ◽  
Transmission Probability ◽  
Base Station ◽  
Channel Gain ◽  
Closed Form Expression ◽  
Mimo Antenna ◽  
The Impact

This paper aims to derive an analytical modelling of the downlink exposure in 5G massive Multiple Input Multiple Output (MIMO) antenna networks using stochastic geometry. The Poisson point process (PPP) is assumed for base station (BS) distribution. The power received at the transmitter is modeled as a shot-noise process with a modified power law. The distributions of 5G massive MIMO antenna gain and channel gain were obtained by fitting simulation results from the NYUSIM channel simulator. The fitted distributions, e.g., exponential and gamma distribution for antenna and channel gain respectively, were then implemented into an analytical framework. In this paper, we obtained the closed-form expression of the moment-generating function (MGF) for the total exposure in the network. The framework is then validated by numerical simulations. The sensitivity analysis is carried out to investigate the impact of key parameters, e.g., BS density, path loss exponent, and transmission probability. We then proved and quantified the significant impact the transmission probability on global exposure, which indicates the importance of considering the network usage in 5G exposure estimations.

scholarly journals Cellular coverage probability is independent of base station density under stochastic geometric models

2021 ◽  
Author(s):  
Hamed Nassar
Keyword(s):  
Coverage Probability ◽  
Stochastic Geometry ◽  
Poisson Point Process ◽  
Euclidean Plane ◽  
Base Station ◽  
Base Stations ◽  
Cellular Communications ◽  
Huge Number ◽  
The Past ◽  
Station Density

Stochastic geometry (SG) has been extensively used to model cellular communications, under the assumption that the base stations (BS) are deployed as a Poisson point process in the Euclidean plane. This has spawned a huge number of articles over the past years for different scenarios, culminating in an equally huge number of expressions for the coverage probability in both the uplink (UL) and downink (DL) directions. The trouble is that those expressions include the BS density, $\lambda$, which we prove irrelevant in this article. We start by developing a SG model for a baseline cellular scenario, then prove that the coverage probability is independent of $\lambda$, contrary to popular belief.

scholarly journals Capacity Analysis of a Full Duplex Device-to-Device Wireless Network using Voronoi diagrams and Distance Distributions

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
Okechukwu E. Ochia ◽  
Elvis Obi
Keyword(s):  
Point Process ◽  
Stochastic Geometry ◽  
Voronoi Diagrams ◽  
Base Station ◽  
Full Duplex ◽  
Spectrum Utilization ◽  
Distance Distributions ◽  
Device To Device ◽  
Association Policy ◽  
Geometry Analysis

Full duplex (FD) and Device-to-Device (D2D) communication are two revolutionary protocols that have enabled better spectrum utilization and more reliable data delivery in wireless networks.  In addition, stochastic geometry tools have become necessary to characterize the randomness in the present networks with respect to the irregular architecture and the competing access schemes. This work analyses the performance of a mobile network comprising nodes which are randomly distributed in a square area, which are equipped with FD radios, and can communicate using D2D. The base station (BS) nodes and user nodes in the network are modelled as points of a homogenous binomial point process (BPP) and a homogeneous Poisson point process (PPP) respectively. The network area is tessellated into cells using Voronoi diagrams which approximates to a nearest BS-to-user node association policy. The user nodes can cache popular file objects which are available in a centralized server in the network and other nodes in proximity can request for such objects and receive them using D2D. Using well known distance distribution expressions and stochastic geometry analysis, the distribution of the signal-to-interference ratio (SIR), the D2D and FD collaboration probabilities and the average coverage probability are derived. It is shown that a network-wide quality of service is maintained without additional spectrum utilization when the user nodes can be intelligently tuned to transmit and receive using FD and/or D2D modes. Keywords— Device-to-Device Communication, Full Duplex Communication, stochastic geometry analysis, Voronoi diagrams, Distance    Distributions

Stochastic Geometry Analysis of Cellular Networks

2018 ◽  
Author(s):  
Bartłomiej Błaszczyszyn ◽  
Martin Haenggi ◽  
Paul Keeler ◽  
Sayandev Mukherjee
Keyword(s):  
Cellular Networks ◽  
Stochastic Geometry ◽  
Geometry Analysis
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