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Stochastic Geometry Modelling and Performance Evaluation of Cellular Networks

  • Author / Creator
    Chen, Chunlin
  • Stochastic geometry provides a way of defining and computing macroscopic properties of large scale wireless networks, by averaging over all possible spatial patterns of the network nodes. It abstracts the network as realizations of point process models, and analyzes the network performance in a probabilistic way. While stochastic geometry has its strength in theoretical analysis, statistical questions are seldom discussed and measurement-based validation of certain stochastic assumptions used in the literature is often not given. The aim in most of the related research work in the literature is to show what results can be obtained with stochastic geometry when assumptions of certain point process models are made, without necessarily fully justifying those assumptions. It is critical to find an accurate point process model that best reflects the spatial distribution of the network nodes before any attempts on the theoretical analysis of the underlying point process model. In addition, extensions of the analytical methodology used in Poisson models to more general point process models are often hindered due to the lack of closed-form empty space function and the probability generating functional (PGFL). In view of these problems, the thesis presents and describes a practical technique of statistical validation by fitting stationary and nonstationary point process models to real-life cellular networks using maximum likelihood/pseudolikelihood and minimum contrast methods. We also have studied the distributional properties of the empty space distances in the Matérn hard core point process of Type II, and proposed a piecewise probability density function for the empty space distance, including an exact expression and a heuristic formula, which can be fitted by aWeibull-like function. Furthermore, we have examined the properties of the PGFL for Poisson cluster processes, and studied the downlink coverage performance for a two-tier cellular network.

  • Subjects / Keywords
  • Graduation date
    Fall 2018
  • Type of Item
    Thesis
  • Degree
    Doctor of Philosophy
  • DOI
    https://doi.org/10.7939/R3ZW19793
  • License
    Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.