Poisson Hole Process: Theory and Applications to Wireless Networks

Yazdanshenasan, Zeinab; Dhillon, Harpreet S.; Afshang, Mehrnaz; Chong, Peter Han Joo

doi:10.1109/twc.2016.2604799

Cited by 111 publications

(115 citation statements)

References 25 publications

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“…For modeling inter-tier coupling, Poisson hole process (PHP) has been a preferred choice [27], [28], where the macro BSs (MBSs) are modeled as PPP and the SBSs are modeled as another PPP outside the exclusion discs (holes) centered at the MBS locations. Among these "beyond-PPP" spatial models of HetNets, the PCP has attracted significant interest because of its generality in modeling variety of user and BS configurations and its mathematical tractability [1], [29].…”

Section: A Background and Related Workmentioning

confidence: 99%

Unified Analysis of HetNets Using Poisson Cluster Processes Under Max-Power Association

Saha

Dhillon

Miyoshi

et al. 2019

IEEE Trans. Wireless Commun.

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Owing to its flexibility in modeling real-world spatial configurations of users and base stations (BSs), the Poisson cluster process (PCP) has recently emerged as an appealing way to model and analyze heterogeneous cellular networks (HetNets). Despite its undisputed relevance to HetNets -corroborated by the models used in industry -the PCP's use in performance analysis has been limited. This is primarily because of the lack of analytical tools to characterize performance metrics such as the coverage probability of a user connected to the strongest BS. In this paper, we develop an analytical framework for the evaluation of the coverage probability, or equivalently the complementary cumulative density function (CCDF) of signal-to-interference-and-noise-ratio (SINR), of a typical user in a K-tier HetNet under a max power-based association strategy, where the BS locations of each tier follow either a Poisson point process (PPP) or a PCP. The key enabling step involves conditioning on the parent PPPs of all the PCPs which allows us to express the coverage probability as a product of sum-product and probability generating functionals (PGFLs) of the parent PPPs. In addition to several useful insights, our analysis provides a rigorous way to study the impact of the cluster size on the SINR distribution, which was not possible using existing PPP-based models. Index TermsHeterogeneous cellular network, 3GPP, Poisson cluster process, Thomas cluster process, Matérn cluster process.

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Section: A Background and Related Workmentioning

confidence: 99%

Unified Analysis of HetNets Using Poisson Cluster Processes Under Max-Power Association

Saha

Dhillon

Miyoshi

et al. 2019

IEEE Trans. Wireless Commun.

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“…When we set χ = 1, an intuitive interpretation for the proposed edge user model is as follows: any one of the users in the network is expected to be covered by, on average, one BS within the distance of D E , and therefore, for a given user, if therefore is no BS located within D E , the user will be referred to as an cell-edge user. According to the proposed edge user model above, the locations of the cell-edge users follow a poisson hole process (PHP) [35], [36]. To analyze the performance of the cell-edge users, we assume there is a typical cell-edge user located at the origin o, which leads to an exclusive ball region, i.e., B (o, D E ), for the BSs 3 .…”

Section: B Cell-edge User Modelmentioning

confidence: 99%

Base Station Cooperation in Millimeter Wave Cellular Networks: Performance Enhancement of Cell-Edge Users

Wang¹,

Huang²,

Tsiftsis

2018

IEEE Trans. Commun.

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Millimeter wave (mmWave) signals are much more sensitive to blockage, which results in a significant increase of the outage probability, especially for the users at the edge of the cells. In this paper, we exploit the technique of base station (BS) cooperation to improve the performance of the cell-edge users in the downlink transmission of mmWave cellular networks. We design two cooperative schemes, which are referred to as fixed-number BS cooperation (FNC) scheme and fixed-region BS cooperation (FRC) scheme, respectively. In FNC scheme, the cooperative BSs consist of the M nearest BSs around the served cell-edge users, and in FRC scheme, the cooperative BSs include all the BSs located within a given region. We derive the expressions for the average rate and outage probability of a typical celledge user located at the origin based on the stochastic geometry framework. To reduce the computational complexity of our analytical results for the outage probability, we further propose a Gamma approximation based method to provide approximations with satisfying accuracy. Our analytical results incorporate the critical characteristics of mmWave channels, i.e., the blockage effects, the different path loss of LOS and NLOS links and the highly directional antenna arrays. Simulation results show that the performance of the cell-edge users is greatly improved when mmWave networks are combined with the technique of BS cooperation.

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“…By plugging (53) and (52) into (45), we thus obtain the desired result in (17), and the proof is completed.…”

Section: Proof Of Theoremmentioning

confidence: 80%

“…Therefore, the location of TUs 3 becomes a poisson hole process (PHP). It should be noted that the PHP described here is also known as hole-1 process [17]. Thus, the location of the holes (i.e., condition on 1 ), 3 is simply a PPP with density λ 3 defined on R 2 / in [13], [14], [17].…”

Section: A System Architecturementioning

confidence: 99%

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Coverage and Rate Analysis in Heterogeneous Cloud Radio Access Networks With Device-to-Device Communication

2016

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The implementation of heterogeneous cloud radio access network (H-CRAN) architecture is faced with practical challenges, such as the capacity and time-delay limitations of the fronthaul links. This paper considers the use of device-to-device (D2D) communication to offload the remote radio heads (RRHs) located in the coverage region of high-power nodes (HPNs). We propose an H-CRAN with non-uniformly deployed D2D communication, in which D2D links are only utilized outside a specified distance from any HPN. Based on the analytical framework provided in this paper, the coverage and the average ergodic rate of a typical user equipment (UE) are characterized. Through defining the exclusion area appropriately, the proposed non-uniform D2D deployment can achieve performance improvement compared with uniform D2D deployment. In addition, to account for the capacity constraint of fronthaul, we characterize the average traffic delivery latency experience by a typical UE when served by RRHs as a quality-of-service metric. Our results show that for a lower fronthaul capacity regime, the proposed non-uniform D2D deployment achieves lower average traffic delivery latency compared with both the uniform D2D deployment and the pure H-CRAN scenarios.INDEX TERMS Heterogenous cloud radio access networks (H-CRANs), device-to-device (D2D), Poisson point process (PPP), coverage probability.

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Poisson Hole Process: Theory and Applications to Wireless Networks

Cited by 111 publications

References 25 publications

Unified Analysis of HetNets Using Poisson Cluster Processes Under Max-Power Association

Unified Analysis of HetNets Using Poisson Cluster Processes Under Max-Power Association

Base Station Cooperation in Millimeter Wave Cellular Networks: Performance Enhancement of Cell-Edge Users

Coverage and Rate Analysis in Heterogeneous Cloud Radio Access Networks With Device-to-Device Communication

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