Downlink Coverage Probability in Cellular Networks With Poisson–Poisson Cluster Deployed Base Stations

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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“…In [36,Appendix B], it was shown that this condition always holds for the form of C j 1 ,i (r, z) given by (16).…”

Section: Coverage Probabilitymentioning

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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“…Recently, it has been observed that the coverage of cellular networks based on non-PPP models can be approximated by adjusting the SIR threshold of the corresponding network based on a PPP model with the same density. The adjusting coefficient is called SIR gain and the method is called ASAPPP [13][14][15][16][17][18][19][20]. Using this method, the SIR gain for the MHCP modelled network can be expressed as…”

Section: The Asappp Approach For Single-tier Mhcp Networkmentioning

confidence: 99%

“…is the signal power average over the fading. In the case of equal transmit powers, the MISR of PPP is derived as [15][16][17] The density of Φ MHCP can be calculated as [9]…”

Section: The Asappp Approach For Single-tier Mhcp Networkmentioning

confidence: 99%

“…Substituting (17) and (20) into (10), the energy efficiency of the MHCP-MHCP network can be expressed as…”

Section: Total Power Consumptionmentioning

confidence: 99%

“…However, [15,16] only cover the one-tier cellular network model. [17] derives the coverage probability of the two-tier HCN modelled by PPP and PCP, but the derivation process is too complicated and the results can only be obtained by numerical computation. [18] and [19] analyze the distribution of the conditional success probability for HCN based on PPP and non-PPP, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Coverage and Energy Efficiency Analysis for Two-Tier Heterogeneous Cellular Networks Based on Matérn Hard-Core Process

2019

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Due to the dense deployment of base stations (BSs) in heterogeneous cellular networks (HCNs), the energy efficiency (EE) of HCN has attracted the attention of academia and industry. Considering its mathematical tractability, the Poisson point process (PPP) has been employed to model HCNs and analyze their performance widely. The PPP falls short in modeling the effect of interference management techniques, which typically introduces some form of spatial mutual exclusion among BSs. In PPP, all the nodes are independent from each other. As such, PPP may not be suitable to model networks with interference management techniques, where there exists repulsion among the nodes. Considering this, we adopt the Matérn hard-core process (MHCP) instead of PPP, in which no two nodes can be closer than a repulsion radius from one another. In this paper, we study the coverage performance and EE of a two-tier HCN modelled by Matérn hard-core process (MHCP); we abbreviate this kind of two-tier HCN as MHCP-MHCP. We first derive the approximate expression of coverage probability of MHCP-MHCP by extending the approximate signal to interference ratio analysis based on the PPP (ASAPPP) method to multi-tier HCN. The concrete SIR gain of the MHCP model relative to the PPP model is derived through simulation and data fitting. On the basis of coverage analysis, we derive and formulate the EE of MHCP-MHCP network. Simulation results verify the correctness of our theoretical analysis and show the performance difference between the MHCP-MHCP and PPP modelled network.

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Analytical modeling of cache-enabled heterogeneous networks using Poisson cluster processes

Zhao

Yang

et al. 2024

Digital Communications and Networks

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Downlink Coverage Probability in Cellular Networks With Poisson–Poisson Cluster Deployed Base Stations

Cited by 19 publications

References 19 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

Coverage and Energy Efficiency Analysis for Two-Tier Heterogeneous Cellular Networks Based on Matérn Hard-Core Process

Analytical modeling of cache-enabled heterogeneous networks using Poisson cluster processes

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