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SINRbased kcoverage probability in cellular networks
 MATLAB Central File Exchange, 2013. [Online]. Available: http://www.mathworks.fr/matlabcentral/fileexchange/ 40087sinrbasedkcoverageprobabilityincellularnetworks
"... Abstract—We give numerically tractable, explicit integral expressions for the distribution of the signaltointerferenceandnoiseratio (SINR) experienced by a typical user in the downlink channel from the kth strongest base stations of a cellular network modelled by Poisson point process on the pl ..."
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Cited by 20 (6 self)
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Abstract—We give numerically tractable, explicit integral expressions for the distribution of the signaltointerferenceandnoiseratio (SINR) experienced by a typical user in the downlink channel from the kth strongest base stations of a cellular network modelled by Poisson point process on the plane. Our signal propagationloss model comprises of a powerlaw pathloss function with arbitrarily distributed shadowing, independent across all base stations, with and without Rayleigh fading. Our results are valid in the whole domain of SINR, in particular for SINR < 1, where one observes multiple coverage. In this latter aspect our paper complements previous studies reported in [1]. Index Terms—Wireless cellular networks, Poisson process, shadowing, fading, SINR, multiple coverage, symmetric sums. I.
Fundamentals of Heterogeneous Cellular Networks with Energy Harvesting
 IEEE TRAN. WIRELESS COMMUNICATIONS
, 2014
"... We develop a new tractable model for Ktier heterogeneous cellular networks (HetNets), where each base station (BS) is powered solely by a selfcontained energy harvesting module. The BSs across tiers differ in terms of the energy harvesting rate, energy storage capacity, transmit power and deploym ..."
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Cited by 15 (2 self)
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We develop a new tractable model for Ktier heterogeneous cellular networks (HetNets), where each base station (BS) is powered solely by a selfcontained energy harvesting module. The BSs across tiers differ in terms of the energy harvesting rate, energy storage capacity, transmit power and deployment density. Since a BS may not always have enough energy, it may need to be kept OFF and allowed to recharge while nearby users are served by neighboring BSs that are ON. We show that the fraction of time a kth tier BS can be kept ON, termed availability ρk, is a fundamental metric of interest. Using tools from random walk theory, fixed point analysis and stochastic geometry, we characterize the set of Ktuples (ρ1, ρ2,... ρK), termed the availability region, that is achievable by general uncoordinated operational strategies, where the decision to toggle the current ON/OFF state of a BS is taken independently of the other BSs. If the availability vector corresponding to the optimal system performance, e.g., in terms of rate, lies in this availability region, there is no performance loss due to the presence of unreliable energy sources. As a part of our analysis, we model the temporal dynamics of the energy level at each BS as a birthdeath process, derive the energy utilization rate, and use hitting/stopping time analysis to prove that there exists a fundamental limit on ρk that cannot be surpassed by any uncoordinated strategy.
Equivalence and comparison of heterogeneous cellular networks
 in Proc. of PIMRC’13 – WDNCN2013
, 2013
"... Abstract—We consider a general heterogeneous network in which, besides general propagation effects (shadowing and/or fading), individual base stations can have different emitting powers and be subject to different parameters of Hatalike pathloss models (pathloss exponent and constant) due to, for ..."
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Cited by 12 (5 self)
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Abstract—We consider a general heterogeneous network in which, besides general propagation effects (shadowing and/or fading), individual base stations can have different emitting powers and be subject to different parameters of Hatalike pathloss models (pathloss exponent and constant) due to, for example, varying antenna heights. We assume also that the stations may have varying parameters of, for example, the link layer performance (SINR threshold, etc). By studying the propagation processes of signals received by the typical user from all antennas marked by the corresponding antenna parameters, we show that seemingly different heterogeneous networks based on Poisson point processes can be equivalent from the point of view a typical user. These neworks can be replaced with a model where all the previously varying propagation parameters (including pathloss exponents) are set to constants while the only tradeoff being the introduction of an isotropic base station density. This allows one to perform analytic comparisons of different network models via their isotropic representations. In the case of a constant pathloss exponent, the isotropic representation simplifies to a homogeneous modification of the constant intensity of the original network, thus generalizing a previous result showing that the propagation processes only depend on one moment of the emitted power and propagation effects. We give examples and applications to motivate these results and highlight an interesting observation regarding random pathloss exponents. Index Terms—Heterogeneous networks, multitier networks, Poisson process, shadowing, fading, propagation invariance, stochastic equivalence. I.
Equivalent capacity in carrier aggregationbased LTEA systems: A probabilistic analysis
 IEEE Trans. Wireless Communications
"... Abstract In this paper, we analyze the user accommodation capabilities of LTEA systems with carrier aggregation for the LTE users and LTEA users, respectively. The adopted performance metric is equivalent capacity (EC), defined as the maximum number of users allowed in the system given the user ..."
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Abstract In this paper, we analyze the user accommodation capabilities of LTEA systems with carrier aggregation for the LTE users and LTEA users, respectively. The adopted performance metric is equivalent capacity (EC), defined as the maximum number of users allowed in the system given the user QoS requirements. Specifically, both LTE and LTEA users are divided into heterogeneous user classes with different QoS requirements, traffic characteristics and bandwidth weights. Two bandwidth allocation strategies are studied, i.e., the fixedweight strategy and the cognitiveweight strategy, where the bandwidth weights of different user classes are prefixed under the former and dynamically changing with the cell load conditions under the latter. For each strategy, closedform expressions of ECs of different user classes are derived for LTE and LTEA users, respectively. A netprofitmaximization problem is further formulated to discuss the tradeoff among the bandwidth weights. Extensive simulations are conducted to corroborate our analytical results, and demonstrate an interesting discovery that only a slightly higher spectrum utilization of LTEA users than LTE users can result in a significant EC gain when the user traffic is bursty. Moreover, the cognitiveweight strategy is shown to outperform considerably the fixedweight one due to stronger adaptability to the cell load conditions.
Quality of RealTime Streaming in Wireless Cellular Networks  Stochastic Modeling and Analysis
, 2013
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When do wireless network signals appear Poisson?” working manuscript
, 2014
"... Abstract We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under general conditions this point process of signal stre ..."
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Cited by 2 (1 self)
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Abstract We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under general conditions this point process of signal strengths can be wellapproximated by an inhomogeneous Poisson or a Cox point processes on the positive real line. We also provide some bounds on the total variation distance between the laws of these point processes and both Poisson and Cox point processes. Under appropriate conditions, these results support the use of a spatial Poisson point process for the underlying positioning of transmitters in models of wireless networks, even if in reality the positioning does not appear Poisson. We apply the results to a number of models with popular choices for positioning of transmitters, path loss functions, and distributions of propagation effects.
Downlink Coverage Probability in MIMO HetNets with Flexible Cell Selection
"... Abstract—In this paper, we study the coverage probability of a Ktier multipleinput multipleoutput heterogeneous cellular network (MIMO HetNet) assuming (i) zeroforcing precoding at all the base stations (BSs), (ii) Rayleigh fading, (iii) independent Poisson Point Process (PPP) model for the loca ..."
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Abstract—In this paper, we study the coverage probability of a Ktier multipleinput multipleoutput heterogeneous cellular network (MIMO HetNet) assuming (i) zeroforcing precoding at all the base stations (BSs), (ii) Rayleigh fading, (iii) independent Poisson Point Process (PPP) model for the locations of BSs of each tier, and (iv) general cell selection rule that maximizes average received signaltointerferenceplusnoise ratio (SINR) at the users. Our analysis highlights key differences between MIMO HetNets and the more familiar single antenna HetNets in terms of cell selection. While it is challenging to derive exact cell selection rule to maximize average downlink SINR in MIMO HetNets, we show that adding an appropriately chosen pertier selection bias yields a close approximation. The bias value for each tier is given in closed form. One interpretation of this result is that MIMO HetNets may balance load more naturally across different tiers in certain special cases compared to single antenna HetNets where an artificial selection bias is often needed for load balancing. Index Terms—Heterogeneous cellular network, MIMO, stochastic geometry, cell selection bias, load balancing. I.
An analysis of the DSCDMA cellular uplink for arbitrary and constrained topologies
 IEEE Trans. Commun
, 2013
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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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1Fundamentals of Base Station Availability in Cellular Networks with Energy Harvesting
"... Abstract—We develop a new tractable model forKtier cellular networks, where each base station (BS) is solely powered by a selfcontained energy harvesting module instead of a conventional powerline source. The BSs across tiers differ in terms of the energy harvesting rate, energy storage capacity, ..."
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Cited by 1 (1 self)
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Abstract—We develop a new tractable model forKtier cellular networks, where each base station (BS) is solely powered by a selfcontained energy harvesting module instead of a conventional powerline source. The BSs across tiers differ in terms of the energy harvesting rate, energy storage capacity, transmit power and deployment density. Since a BS may not always have enough energy, it may need to be kept OFF and allowed to recharge while its load is served by the neighboring BSs that are ON. Using tools from random walk theory and stochastic geometry, we characterize the fraction of time each type of BS can be kept ON, termed availability, for general uncoordinated strategies, where each BS toggles its ON/OFF state independently of the others. As a part of our analysis, we model the temporal dynamics of the energy level at each BS as a birthdeath process, derive energy utilization rate for each BS class, and use hitting/stopping time analysis to study availabilities. We prove that there is a fundamental limit on the availabilities, which cannot be surpassed by any uncoordinated strategy. As a part of the proof, we construct the strategy that achieves this limit. I.