Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 27 for “"Poisson point process."”.
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Modeling the Impact of Projected Land Cover on Lyme Disease Emergence
… variables affecting Lyme disease in Virginia. A Poisson point process is implemented in this thesis with land cover parameters (implemented land, water bodies, and edge metrics) and demographic parameters (population percentage and per capita income) as the spatial covariates. Lyme disease …
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Average Link Rate Analysis over Finite Time Horizon in a Wireless Network
… networks. The ad hoc network is modeled as a Poisson bipolar network with a fixed distance between each transmitter and its intended receiver. The cellular network is also modeled as a homogeneous Poisson point process. For both these setups, we use tools from stochastic geometry to derive the …
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Interference Management in Heterogeneous Cellular Networks
… analytically investigated, first based on the Poisson point process (PPP) model where the locations of BSs in each tier are modeled as a PPP. Second, a hybrid model of HetNets is established which considers both location regularity of macro BSs and topological randomness of small BSs, where the …
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Extreme values of non-Gaussian fields
… behaviour of log-correlated spatial Gaussian processes has drawn a lot of attention. Among many other results, it is known for the lattice discrete Gaussian free field (DGFF) in $d=2$ as well as for general log-correlated Gaussian fields, that the limiting law of the centred maximum is a …
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On maximum-reward motion in stochastic environments
… the rewards are assumed to be generated by a Poisson point process. The robot has a limited perception range, and thus it discovers the reward field on the fly. The robot is assumed to be a dynamical system with substantial drift in one direction, e.g., a high-speed airplane, so it cannot …
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Performance Analysis for 5G cellular networks: Millimeter Wave and UAV Assisted Communications
… (ASEP) in mmWave cellular networks with Poisson Point Process (PPP) distributed BSs is conducted using tools from stochastic geometry. Secondly, we analyze the energy efficiency of relay-assisted downlink mmWave cellular networks. Then, we provide an stochastic geometry framework to study …
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Investigating neuronal network dynamics : scale-invariance, preferred firing rates, and plasticity via phase-shift encoding
Understanding how neuronal networks process information and adapt to external stimuli is critical for advancing our knowledge of neural plasticity and computation. Scale-invariant properties, which suggest self-organised criticality (SOC), have been observed in these networks, but the mechanisms …
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Spatio-Temporal Correlation in the Performance of Cache-Enabled Cellular Networks
Exact characterization and performance analysis of wireless networks should incorporate dependencies or correlations in space and time, i.e., study how the network performance varies spatially and temporally while having prior information about the performance at previous locations and time slots. …
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Comprehensive Performance Analysis of Localizability in Heterogeneous Cellular Networks
… use powerful tools from stochastic geometry and point process theory to develop a tractable analytical model to study the localizability (ability to get a location fix) of an MD in single-tier and heterogeneous cellular networks (HetNets). More importantly, we study how availability of …
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Effective mechanical Properties of material models with random heterogeneities
… which the Young's modulus varies as a filtered Poisson point process and find that the homogenization approach initially developed for lognormal systems produces accurate results also for this class of non-lognormal systems.
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Cellular-Assisted Vehicular Communications: A Stochastic Geometric Approach
… models, most of it uses homogeneous planar Poisson Point Process (PPP) to maintain tractability, which is clearly not applicable to VANETs. Therefore, to accurately capture the spatial distribution of vehicles in a VANET, we model the roads using the so called Poisson Line Process and then …
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Enhancing Performance of Next-Generation Vehicular and Spectrum Sharing Wireless Networks: Practical Algorithms and Fundamental Limits
… and (b) leveraging advanced spatial signal processing techniques using large antenna arrays (termed as massive MIMO). In this dissertation, we focus on enhancing the performance of next-generation vehicular communication and spectrum sharing systems. In the first contribution, we present a …
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Mild solutions of SPDE's driven by Poisson noise in infinite dimensions and their dependence on initial conditions
… X(0)=g, where q(dt,dy) is a compensated Poisson random measure associated to a stationary Poisson point process on a [sigma]-finite measure space (U,C,m), A is the generator of a strongly continuous semigroup, F is a measurable mapping from H to H, B is a measurable mapping from the …
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Objective Assessment Methods for List Mode Imaging System
… by using the attribute list to construct a Poisson point process in attribute space, where instead of the inversion of matrices, the inversion of operators is needed. An example of computing the HOHotelling Observer test statistic on list mode data is provided in Chapter 4. The observer …
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Coverage Analysis and Resource Allocation in Heterogeneous Networks
… networks (HetNets) with large density of access points (APs) located without a deterministic structure. We use stochastic geometry, specifically Poisson point processes (PPPs), to capture the randomness in AP locations. To differentiate their structural characteristics, APs are categorized into …
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Coverage, Secrecy, and Stability Analysis of Energy Harvesting Wireless Networks
… the base stations (BSs) using two independent Poisson point processes (PPPs), the joint uplink/downlink coverage probability is derived. The resulting expressions characterize how different system parameters impact coverage performance. Both mathematical expressions and simulation results show …
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Optimal estimation in high-dimensional and nonparametric models
… estimators. Our approach is based on a Poisson point process model and as an ingredient, we prove that the convex hull is a sufficient and complete statistic. No hypotheses on the boundary of the convex set are imposed. In a numerical study, we show that the estimator outperforms earlier …
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Continuous-Time Models of Arrival Times and Optimization Methods for Variable Selection
… Bayesian inference for a Gaussian process modulated temporal inhomogeneous Poisson point process, made challenging by an intractable likelihood. The intractable likelihood is circumvented by two novel data augmentation strategies which result in Gaussian measurements of the Gaussian …
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Ambient Backscatter Communication Systems: Design, Signal Detection and Bit Error Rate Analysis
… provided both from analytical and numerical standpoints. Second, the highly appealing non-coherent signal detection is explored in the context of ambient backscatter for a time-selective channel. Modeling the time-selective fading as a first-order autoregressive (AR) process, we implement a new …
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Stochastic Geometry for Vehicular Networks
… the canonical spatial models such as the 2D Poisson point process (PPP) does not capture the peculiar spatial layout of vehicular networks, where the locations of vehicular nodes are restricted to roadways. Motivated by this, we consider a doubly stochastic spatial model that captures the …
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