Outage Probability

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Jean-marc Kelif - One of the best experts on this subject based on the ideXlab platform.

  • Outage Probability in a Multi-Cellular Network Using Alamouti Scheme
    2010
    Co-Authors: Dorra Ben Cheikh, Jean-marc Kelif, Marceau Coupechoux, Philippe Godlewski
    Abstract:

    In this paper we analyze the performance of a downlink single user multi-cellular multiple inputs single output (MISO) system using the Alamouti code. We derive, for the first time, an analytical expression of the cumulative distribution function of the output signal to interference plus noise ratio (SINR) or equivalently the Outage Probability in flat Rayleigh fading. The system is considered interference limited. Two assumptions are considered: equal received power and unequal received power from the interfering base stations. In the first case, a closed-form expression for the Outage Probability is derived. In the second case, from an approximation of the interference power distribution the Outage Probability expression is obtained.

  • Impact of Topology and Shadowing on the Outage Probability of Cellular Networks
    2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    This paper proposes an analytical study of the shadowing impact on the Outage Probability in cellular radio networks. We establish that the downlink other-cell interference factor, f, which is defined here as the ratio of outer cell received power to the inner cell received power, plays a fundamental role in the Outage Probability. From f, we are able to derive the Outage Probability of a mobile station (MS) initiating a new call. Taking into account the shadowing, f is expressed as a lognormal random variable. Analytical expressions of the interference factor's mean mf and standard deviation sf are provided in this paper. These expressions depend on the topology of the network characterized by a G factor. We show that shadowing increases the Outage Probability, and using our analytical method, we are able to quantify this impact. However, we establish that the network topology, or correlated received powers, may limit this increase.

  • On the Impact of Mobility on Outage Probability in Cellular Networks
    2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    In this paper, we develop an analytical study of the mobility in cellular networks and its impact on quality of service and Outage Probability. We first express analytically the downlink other-cell interference factor f by using a fluid model network. It is defined here as the ratio of outer cell received power to the inner cell received power. It allows us to analyze users mobility and to derive expressions of the Outage Probability. We show that mobility can modify the capacity of a cell and we quantify the Outage Probability variations. We moreover establish how mobility plays a role in quality of service management. All results are compared to Monte Carlo simulations performed in a traditional hexagonal network.

  • WCNC - On the Impact of Mobility on Outage Probability in Cellular Networks
    2009 IEEE Wireless Communications and Networking Conference, 2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    In this paper, we develop an analytical study of the mobility in cellular networks and its impact on quality of service and Outage Probability. We first express analytically the downlink other-cell interference factor f by using a fluid model network. It is defined here as the ratio of outer cell received power to the inner cell received power. It allows us to analyze users mobility and to derive expressions of the Outage Probability. We show that mobility can modify the capacity of a cell and we quantify the Outage Probability variations. We moreover establish how mobility plays a role in quality of service management. All results are compared to Monte Carlo simulations performed in a traditional hexagonal network.

  • ICC - Impact of Topology and Shadowing on the Outage Probability of Cellular Networks
    2009 IEEE International Conference on Communications, 2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    This paper proposes an analytical study of the shadowing impact on the Outage Probability in cellular radio networks. We establish that the downlink other-cell interference factor, f, which is defined here as the ratio of outer cell received power to the inner cell received power, plays a fundamental role in the Outage Probability. From f, we are able to derive the Outage Probability of a mobile station (MS) initiating a new call. Taking into account the shadowing, f is expressed as a lognormal random variable. Analytical expressions of the interference factor's mean mf and standard deviation sf are provided in this paper. These expressions depend on the topology of the network characterized by a G factor. We show that shadowing increases the Outage Probability, and using our analytical method, we are able to quantify this impact. However, we establish that the network topology, or correlated received powers, may limit this increase.

Marceau Coupechoux - One of the best experts on this subject based on the ideXlab platform.

  • Outage Probability in a Multi-Cellular Network Using Alamouti Scheme
    2010
    Co-Authors: Dorra Ben Cheikh, Jean-marc Kelif, Marceau Coupechoux, Philippe Godlewski
    Abstract:

    In this paper we analyze the performance of a downlink single user multi-cellular multiple inputs single output (MISO) system using the Alamouti code. We derive, for the first time, an analytical expression of the cumulative distribution function of the output signal to interference plus noise ratio (SINR) or equivalently the Outage Probability in flat Rayleigh fading. The system is considered interference limited. Two assumptions are considered: equal received power and unequal received power from the interfering base stations. In the first case, a closed-form expression for the Outage Probability is derived. In the second case, from an approximation of the interference power distribution the Outage Probability expression is obtained.

  • Impact of Topology and Shadowing on the Outage Probability of Cellular Networks
    2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    This paper proposes an analytical study of the shadowing impact on the Outage Probability in cellular radio networks. We establish that the downlink other-cell interference factor, f, which is defined here as the ratio of outer cell received power to the inner cell received power, plays a fundamental role in the Outage Probability. From f, we are able to derive the Outage Probability of a mobile station (MS) initiating a new call. Taking into account the shadowing, f is expressed as a lognormal random variable. Analytical expressions of the interference factor's mean mf and standard deviation sf are provided in this paper. These expressions depend on the topology of the network characterized by a G factor. We show that shadowing increases the Outage Probability, and using our analytical method, we are able to quantify this impact. However, we establish that the network topology, or correlated received powers, may limit this increase.

  • On the Impact of Mobility on Outage Probability in Cellular Networks
    2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    In this paper, we develop an analytical study of the mobility in cellular networks and its impact on quality of service and Outage Probability. We first express analytically the downlink other-cell interference factor f by using a fluid model network. It is defined here as the ratio of outer cell received power to the inner cell received power. It allows us to analyze users mobility and to derive expressions of the Outage Probability. We show that mobility can modify the capacity of a cell and we quantify the Outage Probability variations. We moreover establish how mobility plays a role in quality of service management. All results are compared to Monte Carlo simulations performed in a traditional hexagonal network.

  • WCNC - On the Impact of Mobility on Outage Probability in Cellular Networks
    2009 IEEE Wireless Communications and Networking Conference, 2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    In this paper, we develop an analytical study of the mobility in cellular networks and its impact on quality of service and Outage Probability. We first express analytically the downlink other-cell interference factor f by using a fluid model network. It is defined here as the ratio of outer cell received power to the inner cell received power. It allows us to analyze users mobility and to derive expressions of the Outage Probability. We show that mobility can modify the capacity of a cell and we quantify the Outage Probability variations. We moreover establish how mobility plays a role in quality of service management. All results are compared to Monte Carlo simulations performed in a traditional hexagonal network.

  • ICC - Impact of Topology and Shadowing on the Outage Probability of Cellular Networks
    2009 IEEE International Conference on Communications, 2009
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux
    Abstract:

    This paper proposes an analytical study of the shadowing impact on the Outage Probability in cellular radio networks. We establish that the downlink other-cell interference factor, f, which is defined here as the ratio of outer cell received power to the inner cell received power, plays a fundamental role in the Outage Probability. From f, we are able to derive the Outage Probability of a mobile station (MS) initiating a new call. Taking into account the shadowing, f is expressed as a lognormal random variable. Analytical expressions of the interference factor's mean mf and standard deviation sf are provided in this paper. These expressions depend on the topology of the network characterized by a G factor. We show that shadowing increases the Outage Probability, and using our analytical method, we are able to quantify this impact. However, we establish that the network topology, or correlated received powers, may limit this increase.

Philippe Godlewski - One of the best experts on this subject based on the ideXlab platform.

  • Outage Probability in a Multi-Cellular Network Using Alamouti Scheme
    2010
    Co-Authors: Dorra Ben Cheikh, Jean-marc Kelif, Marceau Coupechoux, Philippe Godlewski
    Abstract:

    In this paper we analyze the performance of a downlink single user multi-cellular multiple inputs single output (MISO) system using the Alamouti code. We derive, for the first time, an analytical expression of the cumulative distribution function of the output signal to interference plus noise ratio (SINR) or equivalently the Outage Probability in flat Rayleigh fading. The system is considered interference limited. Two assumptions are considered: equal received power and unequal received power from the interfering base stations. In the first case, a closed-form expression for the Outage Probability is derived. In the second case, from an approximation of the interference power distribution the Outage Probability expression is obtained.

  • VTC Fall - Spatial Outage Probability Formula for CDMA Networks
    2007 IEEE 66th Vehicular Technology Conference, 2007
    Co-Authors: Jean-marc Kelif, Marceau Coupechoux, Philippe Godlewski
    Abstract:

    In this paper, we propose a new framework for the study of cellular networks called the fluid model and we derive from this model analytical formulas for interference, Outage Probability, and spatial Outage Probability. The key idea of the fluid model is to consider the discrete base stations (BS) entities as a continuum of transmitters which are spatially distributed in the network. This allows us to obtain simple analytical expressions of the main characteristics of the network. In this paper, we focus on CDMA systems. This approach is however also applicable to other technologies like OFDMA. A closed-form formula of the downlink other-cell interference factor, f, is provided and compared to simulations performed in a traditional hexagonal network. From f, we are able to derive the global Outage Probability and the spatial Outage Probability, which depends on the location of a mobile station (MS) initiating a new call.

Sergey Loyka - One of the best experts on this subject based on the ideXlab platform.

  • Outage Probability Under Channel Distribution Uncertainty
    IEEE Transactions on Information Theory, 2012
    Co-Authors: Ioanna Ioannou, Charalambos D. Charalambous, Sergey Loyka
    Abstract:

    Outage Probability and capacity of a class of block fading MIMO channels are considered under partial channel distribution information. Specifically, the channel or its distribution is not known but the latter is known to belong to a class of distributions where each member is within a certain distance (uncertainty) from a nominal distribution. Relative entropy is used as a measure of distance between distributions. Compound Outage Probability defined as min (over the transmitted signal distribution) -max (over the channel distribution class) Outage Probability is introduced and investigated. This generalizes the standard Outage Probability to the case of partial channel distribution information. Compound Outage Probability characterization (via 1-D convex optimization and in a closed form), its properties, and approximations are given. It is shown to have two-regime behavior: when the nominal Outage Probability decreases (e.g., by increasing the SNR), the compound Outage first decreases linearly down to a certain threshold (related to the relative entropy distance; this is the nominal Outage-dominated regime) and then only logarithmically (i.e., very slowly; this is the uncertainty-dominated regime) so that no significant further decrease is possible. This suggests the following design guideline: the Outage Probability is decreased by increasing the SNR or optimizing the transmitted signal distribution (both decrease nominal Outage) in the first regime and by reducing the channel distribution uncertainty (e.g., via better estimation) in the second one. The compound Outage depends on the relative entropy distance and the nominal Outage only, all other details (nominal fading and noise distributions) being irrelevant. The transmit signal distribution optimized for the nominal channel distribution is shown to be also optimal for the whole class of distributions. The effect of swapping the distributions in relative entropy is investigated and an error floor effect is established. The compound Outage Probability under Lp distance constraint is also investigated. The obtained results hold in full generality, i.e., for the general channel model with arbitrary nominal fading and noise distributions.

  • ISIT - Outage Probability under channel distribution uncertainty
    2011 IEEE International Symposium on Information Theory Proceedings, 2011
    Co-Authors: Ioanna Ioannou, Charalambos D. Charalambous, Sergey Loyka
    Abstract:

    Outage Probability of a class of block-fading (MIMO) channels is considered under channel distribution uncertainty, when the channel or its distribution are not known but the latter is known to belong to a class of distributions where each member is within a certain distance from a nominal distribution. Relative entropy is used as a measure of distance between distributions. Compound Outage Probability defined as min (over the input distribution) -max (over the channel distribution class) Outage Probability is introduced and investigated, which generalizes the standard Outage Probability to the case of partial channel distribution information. Compound Outage Probability characterization via one-dimensional convex optimization, its properties and approximations are given. It is shown to have a two-regime behavior: when the nominal Outage Probability decreases, the compound Outage first decreases linearly down to a certain threshold and then only logarithmically (i.e. very slowly), so that no significant further decrease is possible. The input distribution optimized for the nominal channel distribution is shown to be also optimal for the whole class of distributions. The effect of swapping the distributions in relative entropy is investigated and an error floor effect is established. The obtained results hold for a generic channel model (arbitrary nominal fading and noise distributions).

  • on node density Outage Probability tradeoff in wireless networks
    International Symposium on Information Theory, 2008
    Co-Authors: Vladimir Mordachev, Sergey Loyka
    Abstract:

    A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model, a Poisson model of random spatial distribution of the nodes in 1-D, 2-D and 3-D spaces (with both uniform and non-uniform densities), and a threshold-based model of the receiver performance. The power of the dominant interferer is used as a major performance indicator, instead of a traditionally-used aggregate interference power, since the former is an accurate approximation of the latter. This simplifies the problem significantly so that compact closed-form expressions are obtained for the Outage Probability, including the case when a given number of strongest interferers are suppressed: the Outage Probability is shown to scale down exponentially in this number. The effect of Rayleigh and log-normal fading can also be included in the analysis. The positive effect of linear filtering (e.g. by directional antennas) is quantified via a new statistical selectivity parameter. The analysis culminates in formulation of an explicit tradeoff relationship between the network density and the Outage Probability, which is a result of the interplay between random geometry of node locations, the propagation path loss and the distortion effects at the victim receiver.

Jemin Lee - One of the best experts on this subject based on the ideXlab platform.

  • Outage Probability of UAV Communications in the Presence of Interference
    arXiv: Signal Processing, 2018
    Co-Authors: Minsu Kim, Jemin Lee
    Abstract:

    Unlike terrestrial communications, unmanned aerial vehicle (UAV) communications have some advantages such as line-of-sight (LoS) environment and flexible mobility, but the interference will be still inevitable. In this paper, we analyze the effect of interference on the UAV communications by considering the LoS Probability and different channel fadings for LoS and non-line-of-sight (NLoS) links, affected by the elevation angle of communication link. We then derive a closed-form Outage Probability in the presence of interfering node for all the possible scenarios and environments of main and interference links. After discussing the impacts of transmitting and interfering node parameters on the Outage Probability, we show the existence of the optimal height of UAV that minimizes the Outage Probability. We also show NLoS environment can be better than LoS environment if the average received power of interference is more dominant than that of transmitting signal in UAV communications.

  • Outage Probability of Cognitive Relay Networks with Interference Constraints
    IEEE Transactions on Wireless Communications, 2011
    Co-Authors: Jemin Lee, Hano Wang, Jeffrey G. Andrews, Daesik Hong
    Abstract:

    This paper evaluates the Outage Probability of cognitive relay networks with cooperation between secondary users based on the underlay approach, while adhering to the interference constraint on the primary user, i.e., the limited amount of interference which the primary user can tolerate. A relay selection criterion, suitable for cognitive relay networks, is provided, and using it, we derive the Outage Probability. It is shown that the Outage Probability of cognitive relay networks is higher than that of conventional relay networks due to the interference constraint, and we quantify the increase. In addition, the Outage Probability is affected by the distance ratio of the interference link (between the secondary transmitter and the primary receiver) to the relaying link (between the secondary transmitter and the secondary receiver). We also prove that cognitive relay networks achieve the same full selection diversity order as conventional relay networks, and that the decrease in Outage Probability achieved by increasing the selection diversity (the number of relays) is not less than that in conventional relay networks.