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57
Modeling, analysis, and design for carrier aggregation in heterogeneous cellular networks
 IEEE Tran. Commun
, 2013
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Cooperative relaying in a Poisson field of interferers: A diversity order analysis
 in IEEE Int. Symposium on Inf. Theory (ISIT
, 2013
"... Abstract—This work analyzes the gains of cooperative relaying in interferencelimited networks, in which outages can be due to interference and fading. A stochastic model based on point process theory is used to capture the spatial randomness present in contemporary wireless networks. Using a modifi ..."
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Cited by 11 (3 self)
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Abstract—This work analyzes the gains of cooperative relaying in interferencelimited networks, in which outages can be due to interference and fading. A stochastic model based on point process theory is used to capture the spatial randomness present in contemporary wireless networks. Using a modification of the diversity order metric, the reliability gain of selection decodeandforward is studied for several cases. The main results are as follows: the achievable spatialcontention diversity order (SCDO) is equal to one irrespective of the type of channel which is due to the ineffectiveness of the relay in the MACphase (transmit diversity). In the BCphase (receive diversity), the SCDO depends on the amount of fading and spatial interference correlation. In the absence of fading, there is a hard transition between SCDO of either one or two, depending on the system parameters. Index Terms—Cooperative relaying, interference, point process theory, selection decodeandforward I.
Fundamentals of heterogeneous cellular networks with energy harvesting,” submitted to
 IEEE Tran. Wireless Communications
, 2013
"... Abstract—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 an ..."
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Abstract—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. Index Terms—Heterogeneous cellular networks, energy harvesting, availability region, stochastic geometry, random walk theory, fixed point analysis, Poisson point process. I.
Spatial Modulation for Generalized MIMO: Challenges, Opportunities and Implementation
, 2013
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Average rate of downlink heterogeneous cellular networks over generalized fading channels – A stochastic geometry approach
 IEEE Trans. Commun
, 2013
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A comprehensive framework for devicetodevice communications in cellular networks,” arXiv preprint arXiv:1305.4219
, 2013
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1Cacheenabled Small Cell Networks: Modeling and Tradeoffs
, 2015
"... We consider a network model where small base stations (SBSs) have caching capabilities as a means to alleviate the backhaul load and satisfy users ’ demand. The SBSs are stochastically distributed over the plane according to a Poisson point process (PPP), and serve their users either (i) by bringing ..."
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Cited by 5 (3 self)
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We consider a network model where small base stations (SBSs) have caching capabilities as a means to alleviate the backhaul load and satisfy users ’ demand. The SBSs are stochastically distributed over the plane according to a Poisson point process (PPP), and serve their users either (i) by bringing the content from the Internet through a finite rate backhaul or (ii) by serving them from the local caches. We derive closedform expressions for the outage probability and the average delivery rate as a function of the signaltointerferenceplusnoise ratio (SINR), SBS density, target file bitrate, storage size, file length and file popularity. We then analyze the impact of key operating parameters on the system performance. It is shown that a certain outage probability can be achieved either by increasing the number of base stations or the total storage size. Our results and analysis provide key insights into the deployment of cacheenabled small cell networks (SCNs), which are seen as a promising solution for future heterogeneous cellular networks.
1Downlink MultiAntenna Heterogeneous Cellular Network with Load Balancing
"... Abstract—We model and analyze heterogeneous cellular networks with multiple antenna BSs (multiantenna HetNets) withK classes or tiers of base stations (BSs), which may differ in terms of transmit power, deployment density, number of transmit antennas, number of users served, transmission scheme, ..."
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Abstract—We model and analyze heterogeneous cellular networks with multiple antenna BSs (multiantenna HetNets) withK classes or tiers of base stations (BSs), which may differ in terms of transmit power, deployment density, number of transmit antennas, number of users served, transmission scheme, and path loss exponent. We show that the cell selection rules in multiantenna HetNets may differ significantly from the singleantenna HetNets due to the possible differences in multiantenna transmission schemes across tiers. While it is challenging to derive exact cell selection rules even for maximizing signaltointerferenceplusnoiseratio (SINR) at the receiver, we show that adding an appropriately chosen tierdependent cell selection bias in the received power yields a close approximation. Assuming arbitrary selection bias for each tier, simple expressions for downlink coverage and rate are derived. For coverage maximization, the required selection bias for each tier is given in closed form. Due to this connection with biasing, multiantenna HetNets may balance load more naturally across tiers in certain regimes compared to singleantenna HetNets, where a large cell selection bias is often needed to offload traffic to small cells. Index Terms—Multiantenna heterogeneous cellular network, stochastic geometry, coverage probability, cell selection bias. I.
Joint downlink base station association and power control for maxmin fairness: Computation and complexity
 IEEE J. Sel. Areas Commun
, 2015
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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 2 (2 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.