An Analytical Framework for Modeling a Spatially Repulsive Cellular Network

Choi, Chang-Sik; Woo, Jae Oh; Andrews, Jeffrey G.

doi:10.1109/tcomm.2017.2767605

Cited by 11 publications

(12 citation statements)

References 30 publications

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“…). λ l =5 34,. µ b =0, λ b =6.15, α=4 I2I λ l =5.34, µ b =5, λ b =6.15, α=4 I2I λ l =5.34, µ b =10, λ b =6.15, α=4 I2I λ l =5.34µ b =0λ b =6.15α=3 I2I λ l =5.34, µ b =5, λ b =6.15, α=3 I2I λ l =5.34, µ b =10, λ b =6.15, α=3…”

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confidence: 99%

An Analytical Framework for Coverage in Cellular Networks Leveraging Vehicles

Choi

Baccelli

2018

IEEE Trans. Commun.

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This paper analyzes an emerging architecture of cellular network utilizing both planar base stations uniformly distributed in Euclidean plane and base stations located on roads. An example of this architecture is that where, in addition to conventional planar cellular base stations and users, vehicles also play the role of both base stations and users. A Poisson line process is used to model the road network and, conditionally on the lines, linear Poisson point processes are used to model the vehicles on the roads. The conventional planar base stations and users are modeled by independent planarPoisson point processes. The joint stationarity of the elements in this model allows one to use Palm calculus to investigate statistical properties of such a network. Specifically, this paper discusses two different Palm distributions, with respect to the user point processes depending on its type: planar or vehicular. We derive the distance to the nearest base station, the association of the typical users, and the coverage probability of the typical user in terms of integral formulas. Furthermore, this paper provides a comprehensive characterization of the performance of all possible cellular transmissions in this setting, namely vehicle-to-vehicle (V2V), vehicle-to-infrastructure (V2I), infrastructure-to-vehicle (I2V), and infrastructure-to-infrastructure (I2I) communications.

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confidence: 99%

An Analytical Framework for Coverage in Cellular Networks Leveraging Vehicles

Choi

Baccelli

2018

IEEE Trans. Commun.

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“…The authors analyzed the packet reception probability for the proposed algorithms over a highway scenario modeled as a one-dimensional PPP. The authors in [22] proposed a framework that models cellular networks in addition to vehicles on the roads using two independent Poisson processes. The authors provided the coverage probability of all possible transmissions (e.g., vehicle-to-vehicle, vehicle-to-BS, and BS-to-vehicle).…”

Section: Related Workmentioning

confidence: 99%

“…The authors in [24] characterized the coverage probability of urban mmWave vehicular networks where the urban streets were modeled by the Manhattan Poisson line process. However, the models in [13][14][15][16][17][18][19][20][21][22][23][24] focused on the spatially-averaged performance, which may hide significant discrepancies among vehicles' performance. To guarantee a network-wide performance for vehicles, a meta-distribution-based approach is required to capture the percentile-based performance (e.g., success probability) across the network [25].…”

Section: Related Workmentioning

confidence: 99%

Network-Wide Throughput Optimization for Highway Vehicle-To-Vehicle Communications

El-Gawad

ElSawy

Sakr³

et al. 2019

Electronics

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This letter analyzes the meta-distribution of the transmission success probability (TSP) for vehicular networks based on a one-dimensional Poisson point process (PPP). We also propose a method to maximize the throughput across the vehicular network. Compared to the conventional spatial average performance assessment, the meta-distribution reveals the fraction of vehicles that operate at a target success rate of transmission across the highway. To this end, we propose a per-vehicle rate selection scheme to keep a target quality of service (QoS) level for all vehicles. The results reveal that operating at the spatially-averaged maximum throughput may lead to excessive variation in the performance of individual vehicles. However, with the proposed meta-distribution-aware rate selection scheme, the throughput variation among the vehicles can be significantly reduced (e.g., up to a 60 % reduction).

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“…In [27], the Log-Gaussian Cox Process (LGCP) is proposed, based on empirical data, to account for the spatial correlation arising in multi-operator cellular networks. In [28], a cellular network model constituted by the superposition of a shifted lattice PP and a PPP is introduced, by bridging the gap between completely regular and totally random networks. In [29], a general class of Poisson cluster PPs is studied for modeling the spatial coupling between different tiers of HCNs.…”

Section: A Beyond the Poisson Point Process Model: State-of-the-art mentioning

confidence: 99%

Inhomogeneous Double Thinning—Modeling and Analysis of Cellular Networks by Using Inhomogeneous Poisson Point Processes

Renzo

Wang

2018

IEEE Trans. Wireless Commun.

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In this paper, we introduce a new methodology for modeling and analyzing downlink cellular networks, where the base stations (BSs) constitute a motion-invariant point process (PP) that exhibits some degree of interactions among the points, i.e., spatial repulsion or spatial clustering. The proposed approach is based on the theory of inhomogeneous Poisson PPs (I-PPPs) and is referred to as inhomogeneous double thinning (IDT) approach. In a PP, the distribution of the distance from a randomly distributed (typical) user to its nearest BS depends on the degree of spatial repulsion or clustering exhibited by the PP. In addition, the average number of interfering BSs that lies within a given distance from the typical user is a function of the repulsion and clustering characteristics of the PP. The proposed approach consists of approximating the original motion-invariant PP with an equivalent PP that is made of the superposition of two conditionally independent I-PPPs. The inhomogeneities of both PPs are created from the point of view of the typical user ("user-centric"): the first one is based on the distribution of the user's distance to its nearest BS and the second one is based on the distance-dependent average number of interfering BSs around the user. The inhomogeneities are mathematically modeled through two distance-dependent thinning functions and a tractable expression of the coverage probability is obtained. Sufficient conditions on the parameters of the thinning functions that guarantee better or worse coverage compared with the baseline homogeneous PPP model are identified. The accuracy of the IDT approach is substantiated with the aid of empirical data for the spatial distribution of the BSs.

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An Analytical Framework for Modeling a Spatially Repulsive Cellular Network

Cited by 11 publications

References 30 publications

An Analytical Framework for Coverage in Cellular Networks Leveraging Vehicles

An Analytical Framework for Coverage in Cellular Networks Leveraging Vehicles

Network-Wide Throughput Optimization for Highway Vehicle-To-Vehicle Communications

Inhomogeneous Double Thinning—Modeling and Analysis of Cellular Networks by Using Inhomogeneous Poisson Point Processes

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