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101
Series expansion for interference in wireless networks
 IEEE Transactions on Information Theory
, 2012
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A stochastic geometry approach to coexistence in heterogeneous wireless networks
 IEEE J. Sel. Areas Commun
, 2009
"... Abstract—With the increasing proliferation of different communication devices sharing the same spectrum, it is critical to understand the impact of interference in heterogeneous wireless networks. In this paper, we put forth a mathematical model for coexistence in networks composed of both narrowba ..."
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Abstract—With the increasing proliferation of different communication devices sharing the same spectrum, it is critical to understand the impact of interference in heterogeneous wireless networks. In this paper, we put forth a mathematical model for coexistence in networks composed of both narrowband (NB) and ultrawideband (UWB) wireless nodes, based on fundamental tools from stochastic geometry. Our model considers that the interferers are spatially scattered according to a Poisson field, and are operating asynchronously in a wireless environment. We first determine the statistical distribution of the aggregate interference for both cases of NB and UWB emitters. We then provide error probability expressions for two dual configurations: 1) a NB victim link subject to the aggregate UWB interference, and 2) a UWB victim link subject to the aggregate NB interference. The results show that while the impact of a single interferer on a link is often negligible due to restrictions on the transmitted power, the aggregate effect of multiple interferers may cause significant degradation. Therefore, aggregate interference must be considered to ensure coexistence in heterogeneous networks. The proposed analytical framework shows good agreement with physicallevel simulations of the system. Index Terms—Stochastic geometry, ultrawideband systems, narrowband systems, coexistence, aggregate interference, error probability. I.
Outage Probability in ArbitrarilyShaped Finite Wireless Networks
, 2013
"... This paper analyzes the outage performance in finite wireless networks. Unlike most prior works, which either assumed a specific network shape or considered a special location of the reference receiver, we propose two general frameworks for analytically computing the outage probability at any arbit ..."
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Cited by 12 (5 self)
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This paper analyzes the outage performance in finite wireless networks. Unlike most prior works, which either assumed a specific network shape or considered a special location of the reference receiver, we propose two general frameworks for analytically computing the outage probability at any arbitrary location of an arbitrarilyshaped finite wireless network: (i) a moment generating functionbased framework which is based on the numerical inversion of the Laplace transform of a cumulative distribution and (ii) a reference link power gainbased framework which exploits the distribution of the fading power gain between the reference transmitter and receiver. The outage probability is spatially averaged over both the fading distribution and the possible locations of the interferers. The boundary effects are accurately accounted for using the probability distribution function of the distance of a random node from the reference receiver. For the case of the node locations modeled by a Binomial point process and Nakagamim fading channel, we demonstrate the use of the proposed frameworks to evaluate the outage probability at any location inside either a disk or polygon region. The analysis illustrates the location dependent performance in finite wireless networks and highlights the importance of accurately modeling the boundary effects.
1 Modeling Heterogeneous Network Interference
"... Abstract—Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complex, making evaluation of different communication strategies for ..."
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Cited by 11 (1 self)
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Abstract—Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complex, making evaluation of different communication strategies for cellular systems more challenging in both analysis and simulation. This paper suggests a simplified interference model for heterogeneous network. Leveraging recent applications of stochastic geometry to analyze cellular systems, this paper propose to analyze performance in a fixedsize typical cell surrounded by an interference field consisted of superposition of marked Poisson point processes outside a guard region. The proposed model simplifies the simulation of cellular systems and may provide analytical insights for certain signaling strategies. I.
Investigating the Gaussian convergence of the distribution of the aggregate interference power in large wireless networks
 IEEE Trans. Veh. Technol
, 2010
"... Abstract—The distribution of the aggregate interference power in large wireless networks has gained increasing attention with the emergence of different types of wireless networks such as ad hoc networks, sensor networks, and cognitive radio networks. The interference in such networks is often chara ..."
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Cited by 11 (1 self)
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Abstract—The distribution of the aggregate interference power in large wireless networks has gained increasing attention with the emergence of different types of wireless networks such as ad hoc networks, sensor networks, and cognitive radio networks. The interference in such networks is often characterized using the Poisson point process (PPP). As the number of interfering nodes increases, there might be a tendency to approximate the distribution of the aggregate interference power by a Gaussian random variable, given that the individual interference signals are independent. However, some observations in the literature suggest that this Gaussian approximation is not valid, except under some specific scenarios. In this paper, we cast these observations in a single mathematical framework and express the conditions for which the Gaussian approximation will be valid for the aggregate interference power generated by a Poisson field of interferers. Furthermore, we discuss the effect of different system and channel parameters on the convergence of the distribution of the aggregate interference to a Gaussian distribution. Index Terms—Berry–Esseen bound, cochannel interference, cumulants, fading, Poisson point process (PPP). I.
A Stochastic Geometry Model for the Best Signal Quality in a Wireless Network
, 2011
"... Abstract—In a wireless network composed of randomly scattered nodes, the characterization of the distribution of the best signal quality received from a group of nodes is of primary importance for many network design problems. In this paper, using shot noise models for the interference field, we dev ..."
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Cited by 10 (5 self)
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Abstract—In a wireless network composed of randomly scattered nodes, the characterization of the distribution of the best signal quality received from a group of nodes is of primary importance for many network design problems. In this paper, using shot noise models for the interference field, we develop a framework for analyzing this distribution. We first identify the joint distribution of the interference and the maximum signal strength. We then represent the best signal quality as a function of these two quantities. Particular practical scenarios are also analyzed in which explicit expressions are obtained. Index Terms—shot noise, max sinr, joint interference and signal strength. I.
An analytical framework for heterogeneous partial feedback design in heterogeneous multicell ofdma networks
 IEEE Transactions on Signal Processing
, 2013
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Percolation and connectivity in the intrinsically secure communications graph
 IEEE Trans. Inf. Theory
, 2012
"... Abstract—The ability to exchange secret information is critical to many commercial, governmental, and military networks. The intrinsically secure communications graph (graph) is a random graph which describes the connections that can be securely established over a largescale network, by exploitin ..."
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Cited by 9 (3 self)
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Abstract—The ability to exchange secret information is critical to many commercial, governmental, and military networks. The intrinsically secure communications graph (graph) is a random graph which describes the connections that can be securely established over a largescale network, by exploiting the physical properties of the wireless medium. This paper aims to characterize the global properties of the graph in terms of 1) percolation on the infinite plane, and 2) full connectivity on a finite region. First, for the Poisson graph defined on the infinite plane, the existence of a phase transition is proven, whereby an unbounded component of connected nodes suddenly arises as the density of legitimate nodes is increased. This shows that longrange secure communication is still possible in the presence of eavesdroppers. Second, full connectivity on a finite region of the Poisson graph is considered. The exact asymptotic behavior of full connectivity in the limit of a large density of legitimate nodes is characterized. Then, simple, explicit expressions are derived in order to closely approximate the probability of full connectivity for a finite density of legitimate nodes. These results help clarify how the presence of eavesdroppers can compromise longrange secure communication. Index Terms—Connectivity, percolation, physicallayer security, stochastic geometry, wireless networks.
Bit Error Probability of Space Shift Keying MIMO over Multiple–Access Independent Fading Channels
, 2012
"... Abstract — In this paper, we study the performance of Space Shift Keying (SSK) modulation for MultipleInput–Multiple– Output (MIMO) wireless systems in the presence of multiple– access interference. More specifically, a synchronous multi–user scenario is considered. The main technical contributions ..."
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Cited by 8 (3 self)
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Abstract — In this paper, we study the performance of Space Shift Keying (SSK) modulation for MultipleInput–Multiple– Output (MIMO) wireless systems in the presence of multiple– access interference. More specifically, a synchronous multi–user scenario is considered. The main technical contributions of this paper are as follows. Two receiver structures based on the Maximum–Likelihood (ML) criterion of optimality are developed and analytically studied, i.e., the single – and multi–user detectors. Accurate frameworks to compute the Average Bit Error Probability (ABEP) over independent and identically distributed (i.i.d.) Rayleigh fading channels are proposed. Furthermore, simple and easy–to–use lower – and upper–bounds for performance analysis and system design are introduced. The frameworks account for the near–far effect, which significantly affects the achievable performance in multiple–access environments. Also, we extend