Outage probabilities in the presence of correlated lognormal interferers

Abu-Dayya, Adnan; Beaulieu, N.C.

doi:10.1109/25.282277

Cited by 241 publications

(115 citation statements)

References 20 publications

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“…with 0 < ρ < 1, is sometimes used [5], [9]- [11], [20], [21], [29], [42], [45], [47], [53], [61], [63], [76], [82], [83] (ρ = 0.5 [7], [23], [59], [60]) when more information is lacking. However, [7] argued that this may be a too-simplistic model, comparing simulations that use constant versus nonconstant models.…”

Section: A Constant Modelmentioning

confidence: 99%

On the Feasibility of Wireless Shadowing Correlation Models

Szyszkowicz

Yanıkömeroğlu

Thompson

2010

IEEE Trans. Veh. Technol.

163

125

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Abstract-There is emerging interest in more detailed models for wireless shadowing, which may include nonconstant shadowing variance, non-lognormal shadowing, and, most importantly, correlation between paths; we focus on this last aspect. This paper offers a structured synthesis of the existing literature on autocorrelation and cross-correlation in wireless shadowing and attempts to fill existing gaps in the analysis of correlation models. We make a survey of these models and argue, as has previously been observed, that certain models are not mathematically feasible, which may lead to problems in simulations or analysis. We then state some theorems that test whether the models are positive semidefinite, which is the central necessary condition for feasibility, and evaluate the existing models accordingly. Additionally, we evaluate the models according to their physical plausibility, which leads us to choose one model among many as arguably the best one in existence so far. This paper should be useful as a guide on how to implement shadowing correlation in one's work, how to choose an appropriate correlation model, and how to modify existing models or create new models so that they fulfill mathematical feasibility.

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Section: A Constant Modelmentioning

confidence: 99%

On the Feasibility of Wireless Shadowing Correlation Models

Szyszkowicz

Yanıkömeroğlu

Thompson

2010

IEEE Trans. Veh. Technol.

163

125

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“…The FentonWilkonson approximation, developed for the case when the summands are independent, is frequently used to approximate the mean and variance of this distribution by matching the first two moments of the distribution of the sum with the first two moments of the approximating single lognormal distribution. [18] This work was extended by Abu-Dayya and Beaulieu [21] to accommodate correlated summands and later by Ligeti [22] to show that the distribution of the ratio of correlated sums of lognormals is well-approximated by a lognormal distribution. Hence, in accordance with this previous work, the distribution of the RD can be approximated by a negative shifted lognormal distribution.…”

Section: Distribution Of the Relative Difference In Tumor Measurementsmentioning

confidence: 99%

Evaluating agreement between solid tumor measurements used to assess response

Moskowitz

Gönen

2015

JBGC

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Objective: To propose and demonstrate using Bland-Altman plots and Limits of Agreement based on the relative difference (RD) in solid tumor measurements to assess agreement. Methods: A modification to the Bland-Altman plot which involves replacing the difference plotted on the vertical axis with the relative percent difference between two measurements of tumor burden is discussed. Quantifying tumor burden requires summing skewed individual tumor measurements. This quantity is the same one used in assessing tumor response to therapeutic agents and is familiar to radiologists and clinicians working with cancer patients. The distribution of the relative difference is explored and revised equations for the limits of agreement are presented. The methods are then applied to positron emission tomography data studying two radiotracers. Results: The distribution of the relative difference is highly skewed and can be approximated by a negative shifted lognormal distribution. The limits of agreement for the RD need to appropriately reflect this distribution. The standard equations for the 95% limits of agreement assume the differences are approximately normally distributed and may not be appropriate for the relative difference. Conclusions: The modified Bland-Altman plot is based on a clinically meaningful quantity and provides a method for handling data with multiple lesions per patient.

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“…It is generally modelled as a lognormal distributed [6] function. Reference [7] computes the outage probability in presence of multiple log-normal interferers, but assumes that all interference signals have the same statistics and mobile location influence is not studied. In this paper, we take into account correlated shadowing and the location of interferers and mobile stations in the calculation of the OCIF.…”

Section: Introductionmentioning

confidence: 99%

Impact of Topology and Shadowing on the Outage Probability of Cellular Networks

Kélif

Coupechoux

2009

2009 IEEE International Conference on Communications

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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 m f and standard deviation s f 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.

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Outage probabilities in the presence of correlated lognormal interferers

Cited by 241 publications

References 20 publications

On the Feasibility of Wireless Shadowing Correlation Models

On the Feasibility of Wireless Shadowing Correlation Models

Evaluating agreement between solid tumor measurements used to assess response

Impact of Topology and Shadowing on the Outage Probability of Cellular Networks

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