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Large deviations of the interference in the ginibre network model. preprint (arxiv:1304.2234
, 2013
"... Under different assumptions on the distribution of the fading random variables, we derive large deviation estimates for the tail of the interference in a wireless network model whose nodes are placed, over a bounded region of the plane, according to the βGinibre process, 0 < β ≤ 1. The family o ..."
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Under different assumptions on the distribution of the fading random variables, we derive large deviation estimates for the tail of the interference in a wireless network model whose nodes are placed, over a bounded region of the plane, according to the βGinibre process, 0 < β ≤ 1. The family of βGinibre processes is formed by determinantal point processes, with different degree of repulsiveness. As β → 0, βGinibre processes converge in law to a homogeneous Poisson process. In this sense the Poisson network model may be considered as the limiting uncorrelated case of the βGinibre network model. Our results indicate the existence of two different regimes. When the fading random variables are bounded or Weibull superexponential, large values of the interference are typically originated by the sum of several equivalent interfering contributions due to nodes in the vicinity of the receiver. In this case, the tail of the interference has, on the logscale, the same asymptotic behavior for any value of 0 < β ≤ 1, but it differs from the asymptotic behavior of the tail of the interference in the Poisson network model (again on a logscale) [14]. When the fading random variables are exponential or subexponential, instead, large values of the interference are typically originated by a single dominating interferer node and, on the logscale, the asymptotic behavior of the tail of the interference is insensitive to the distribution of the nodes, as long as the number of nodes is guaranteed to be lighttailed. 1. Introduction. An
Generalized interference models in doubly stochastic poisson random fields for wideband communications: the pnsc (alpha) model. Arxiv preprint arXiv:1207.1531
, 2012
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Studying the SINR process of the typical user in Poisson networks by using its factorial moment measures,” arXiv preprint arXiv:1401.4005
, 2014
"... networks by using its factorial moment measures ..."
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Design, Modeling, and Performance Analysis of MultiAntenna Heterogeneous Cellular Networks
, 2016
"... Abstract This paper presents a stochastic geometrybased framework for the design and analysis of downlink multiuser multipleinput multipleoutput (MIMO) heterogeneous cellular networks (HetNets) with linear zeroforcing (ZF) transmit precoding and receive combining, assuming Rayleigh fading chann ..."
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Abstract This paper presents a stochastic geometrybased framework for the design and analysis of downlink multiuser multipleinput multipleoutput (MIMO) heterogeneous cellular networks (HetNets) with linear zeroforcing (ZF) transmit precoding and receive combining, assuming Rayleigh fading channels and perfect channel state information (CSI). The generalized tiers of base stations (BSs) may differ in terms of their Poisson point process (PPP) spatial density, number of transmit antennas, transmit power, artificialbiasing weight, and number of user equipments (UEs) served per resource block. The spectral efficiency of a typical user equipped with multiple receive antennas is characterized using a nondirect momentgeneratingfunction (MGF)based methodology with closedform expressions of the useful received signal and aggregate network interference statistics systematically derived. In addition, the area spectral efficiency is formulated under different spacedivision multipleaccess (SDMA) and singleuser beamforming (SUBF) transmission schemes. We examine the impact of different cellular network deployments, propagation conditions, antenna configurations, and MIMO setups on the achievable performance through theoretical and simulation studies. Based on stateoftheart system parameters, the results highlight the inherent limitations of baseline singleinput singleoutput (SISO) transmission and conventional sparse macrocell deployment, as well as the promising potential of multiantenna communications and smallcell solution in interferencelimited cellular environments. Index Terms Multiantenna communications, downlink heterogeneous cellular networks, stochastic geometry theory.
Padé approximation for coverage probability in cellular networks
"... AbstractCoverage probability is one of the most important metrics for evaluating the performance of wireless networks. However, the spatial stochastic models for which a computable expression of the coverage probability is available are restricted (such as the Poisson based or αGinibre based mode ..."
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AbstractCoverage probability is one of the most important metrics for evaluating the performance of wireless networks. However, the spatial stochastic models for which a computable expression of the coverage probability is available are restricted (such as the Poisson based or αGinibre based models). Furthermore, even if it is available, the practical numerical computation may be timeconsuming (in the case of αGinibre based model). In this paper, we propose the application of Padé approximation to the coverage probability in the wireless network models based on general spatial stationary point processes. The required Maclaurin coefficients are expressed in terms of the moment measures of the point process, so that the approximants are expected to be available for a broader class of point processes. Through some numerical experiments for the cellular network model, we demonstrate that the Padé approximation is effectively applicable for evaluating the coverage probability.
Analysis of a Cooperative Strategy for a Large Decentralized Wireless Network
, 2013
"... This paper investigates the benefits of cooperation and proposes a relay activation strategy for a large wireless network with multiple transmitters. In this framework, some nodes cooperate with a nearby node that acts as a relay, using the decodeandforward protocol, and others use direct transm ..."
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This paper investigates the benefits of cooperation and proposes a relay activation strategy for a large wireless network with multiple transmitters. In this framework, some nodes cooperate with a nearby node that acts as a relay, using the decodeandforward protocol, and others use direct transmission. The network is modeled as an independently marked Poisson point process and the source nodes may choose their relays from the set of inactive nodes. Although cooperation can potentially lead to significant improvements in the performance of a communication pair, relaying causes additional interference in the network, increasing the average noise that other nodes see. We investigate how source nodes should balance cooperation vs. interference to obtain reliable transmissions, and for this purpose we study and optimize a relay activation strategy with respect to the outage probability. Surprisingly, in the high reliability regime, the optimized strategy consists on the activation of all the relays or none at all, depending on network parameters. We provide a simple closedform expression that indicates when the relays should be active, and we introduce closed form expressions that quantify the performance gains of this scheme with respect to a network that only uses direct transmission.
Mathematical and Computing Sciences Tokyo Institute of Technology SERIES B: Applied Mathematical ScienceA cellular network model with Ginibre configurated base stations
, 2012
"... Recently, stochastic geometry models for wireless communication networks have been attracting much attention. This is because the performance of such networks critically depends on the spatial configuration of wireless nodes and the irregularity of node configuration in a real network can be capture ..."
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Recently, stochastic geometry models for wireless communication networks have been attracting much attention. This is because the performance of such networks critically depends on the spatial configuration of wireless nodes and the irregularity of node configuration in a real network can be captured by a spatial point process. However, most analyses of such stochastic geometry models for wireless networks assume, due to its tractability, that the wireless nodes are located according to homogeneous Poisson point processes. This means that the wireless nodes are located independently with each other and their spatial correlation is ignored. In this work, we propose a stochastic geometry model of cellular networks such that the wireless base stations are located according to the Ginibre point process. The Ginibre point process is one of the determinantal point processes and accounts for the repulsion between the base stations. For the proposed model, we derive a computable representation for the coverage probability—the probability that the signaltointerferenceplusnoise ratio (SINR) for a mobile user achieves a target threshold. To capture its qualitative property, we further investigate the asymptotics of coverage probability as the SINR threshold becomes large in a special case. The results of numerical experiments are also exhibited.