A Comprehensive Analysis of 5G Heterogeneous Cellular Systems Operating Over $\kappa$ – $\mu$ Shadowed Fading Channels

Chun, Young Jin; Cotton, Simon L.; Dhillon, Harpreet S.; López‐Martínez, F. Javier; Paris, José F.; Yoo, Seong Ki

doi:10.1109/twc.2017.2734080

Cited by 83 publications

(113 citation statements)

References 42 publications

(107 reference statements)

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“…Further, it is desirable to choose point process models that simultaneously capture the spatial separation between the macro BSs and SBSs as well as the clustering nature of the SBSs [61]. From analysis perspective, it is important to extend the results to more general channel models, such as κ − µ shadowed fading channels [62], and correlated shadowing. From application perspective, the results can be extended to the analysis of cache enabled network to study metrics like total hit probability and caching throughput; see [48], [63].…”

Section: Discussionmentioning

confidence: 99%

Poisson Cluster Process Based Analysis of HetNets With Correlated User and Base Station Locations

Afshang

Dhillon

2018

IEEE Trans. Wireless Commun.

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This paper develops a new approach to the modeling and analysis of heterogeneous cellular networks (HetNets) that accurately incorporates coupling across the locations of users and base stations, which exists due to the deployment of small cell base stations (SBSs) at the places of high user density (termed user hotspots in this paper). Modeling the locations of the geographical centers of user hotspots as a homogeneous Poisson Point Process (PPP), we assume that the users and SBSs are clustered around each user hotspot center independently with two different distributions. The macrocell base station (BS) locations are modeled by an independent PPP. This model is consistent with the user and SBS configurations considered by 3GPP. Using this model, we study the performance of a typical user in terms of coverage probability and throughput for two association policies: i) Policy 1, under which a typical user is served by the open-access BS that provides maximum averaged received power, and ii) Policy 2, under which the typical user is served by the small cell tier if the maximum averaged received power from the open-access SBSs is greater than a certain power threshold; and macro tier otherwise. A key intermediate step in our analysis is the derivation of distance distributions from a typical user to the open-access and closed-access interfering SBSs. Our analysis demonstrates that as the number of SBSs reusing the same resource block increases, coverage probability decreases whereas throughput increases.Therefore, contrary to the usual assumption of orthogonal channelization, it is reasonable to assign the same resource block to multiple SBSs in a given cluster as long as the coverage probability remains acceptable. This approach to HetNet modeling and analysis significantly generalizes the state-of-the-art approaches that are based on modeling the locations of BSs and users by independent PPPs. Index TermsStochastic geometry, Poisson cluster process, user-centric capacity-driven deployment. The authors are with Wireless@VT, antennas were performed in [25], [30]-[33]. The joint-transmission cooperation in HetNets was analyzed in [19]-[21], [34]. Since this line of work is fairly well-known by now, we refer the interested readers to [8]-[11] for more extensive surveys as well as a more pedagogical treatment of this general research direction.The second direction focuses on developing tractable models to study user-centric capacitydriven small cell deployments, where SBSs are deployed at the areas of high user density.Due to the technical challenges involved in incorporating this coupling across the locations of the users and SBSs, the contributions in this direction are much sparser than above. One key exception is the generative model proposed in [35], where the BS point process is conditionally thinned in order to push the reference user closer to its serving BS, thus introducing coupling between the locations of BSs and users. While this model captures the clustering nature of users in the hotspots, it is restric...

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Section: Discussionmentioning

confidence: 99%

Poisson Cluster Process Based Analysis of HetNets With Correlated User and Base Station Locations

Afshang

Dhillon

2018

IEEE Trans. Wireless Commun.

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“…. The Laplace transform of the interference at the probe D2D receiver, L I d (ξ), can be evaluated as [13,Eq. (22)] (2) and (3) yields…”

Section: A Proof Of Theoremmentioning

confidence: 99%

Unified Analysis and Optimization of D2D Communications in Cellular Networks Over Fading Channels

Trigui

Affes

2019

IEEE Trans. Commun.

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This paper develops an innovative approach to the modeling and analysis of downlink cellular networks with deviceto-device (D2D) transmissions. The analytical embodiment of the signal-to-noise and-interference ratio (SINR) analysis in general fading channels is unified due to the H-transform theory, a taxonomy never considered before in stochastic geometry-based cellular network modeling and analysis. The proposed framework has the potential, due to versatility of the Fox's H functions, of significantly simplifying the cumbersome analysis procedure and representation of D2D and cellular coverage, while subsuming those previously derived for all the known simple and composite fading models. By harnessing its tractability, the developed statistical machinery is employed to launch an investigation into the optimal design of coexisting D2D and cellular communications. We propose novel coverage-aware power control combined with opportunistic access control to maximize the area spectral efficiency (ASE) of D2D communications. Simulation results substantiate performance gains achieved by the proposed optimization framework in terms of cellular communication coverage probability, average D2D transmit power, and the ASE of D2D communications under different fading models and linkand network-level dynamics.

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“…In this paper, we distinguish from the previous related works [8]- [10] by studying the impact of instantaneous shadowing on the coverage probability of a Poisson network. Specifically, we consider a double shadowed fading which is composed of a lognormal distribution and κ-µ shadowed fading with integer fading parameters [11].…”

Section: Introductionmentioning

confidence: 99%

Coverage analysis of downlink Poisson networks with double shadowed fading

Chen

Yuan

2019

IET Communications

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Performances of cellular networks over κ-µ shadowed fading with long-term shadowing has been studied in the existing literature. However, the impact of κ-µ shadowed fading with instantaneous shadowing on performances of cellular networks is unknown. Therefore, this letter analyzes the downlink coverage probability of a Poisson network with double shadowed fading which is composed of a large-scale fading of lognormal distribution and κ-µ shadowed fading with integer fading parameters. The closest base station association rule without shadowing is considered. For analytical tractability, the double shadowed fading is approximated as a weighted sum of κ-µ shadowed distributions based on the Gaussian-Hermit quadrature. As a main theoretical result, a closed-form expression for the downlink coverage probability of a Poisson network under double shadowed fading for the desired signal and arbitrary fading for the interfering signals is successfully derived. Numerical simulations reveal that the double shadowed fading provides a pessimistic coverage on a Poisson network compared with the long-term shadowing which is incorporated into cell selection.

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A Comprehensive Analysis of 5G Heterogeneous Cellular Systems Operating Over $\kappa$ – $\mu$ Shadowed Fading Channels

Cited by 83 publications

References 42 publications

Poisson Cluster Process Based Analysis of HetNets With Correlated User and Base Station Locations

Poisson Cluster Process Based Analysis of HetNets With Correlated User and Base Station Locations

Unified Analysis and Optimization of D2D Communications in Cellular Networks Over Fading Channels

Coverage analysis of downlink Poisson networks with double shadowed fading

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