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coverage probability and Rate for κ - μ/η - μ Fading Channels in Interference-Limited Scenarios

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS 2015年第11期14卷 6082-6096页

作者： Kumar, Suman Kalyani, Sheetal Indian Inst Technol Madras 600036 Tamil Nadu India

The kappa- mu and eta - mu are general fading distributions, which model line-of-sight and non-line-of-sight propagation effects, respectively. In this work, expressions for the coverage probability and average rate when the user experiences kappa - mu fading with arbitrary values of kappa and mu, and interferers experience eta - mu fading with arbitrary values of eta and mu are derived for downlink of a cellular network. Both expressions can be expressed in terms of sum of Lauricella's function of the fourth kind. Further, using the properties of the special functions, the average rate expression is simplified for various special cases. Finally, simulation results are provided and these match our analytical results.

关键词： coverage probability rate co-channel interference kappa - mu fading eta - mu fading

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coverage probability Analysis of Heterogeneous Cellular Networks in Rician/Rayleigh Fading Environments

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IEEE COMMUNICATIONS LETTERS 2015年第7期19卷 1197-1200页

作者： Yang, Xiaobin Fapojuwo, Abraham O. Univ Calgary Dept Elect & Comp Engn Calgary AB T2N 1N4 Canada

This letter analyzes the coverage probability performance of heterogeneous cellular network (HCN) in a Rician/Rayleigh fading environment. First, an exponential-series approximation, potentially converging to the exact value and with reduced computational complexity, is proposed for the desired signal power statistics under Rician fading. Then, an analytical approach for evaluating the coverage probability of HCNs under Rician fading for desired signal and Rayleigh fading for interfering signals is presented and verified through simulation. Numerical results demonstrate considerable improvement in coverage probability when the desired signal is Rician faded, compared to that obtained when it is Rayleigh faded.

关键词： Heterogeneous cellular networks Rician fading Rayleigh fading coverage probability inter-tier interference

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Downlink coverage probability of K-Tier HetNets with General Non-Uniform User Distributions

Downlink Coverage Probability of K-Tier HetNets with General...

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Ad-Hoc and Sensor Networks Symposium

作者： Chiranjib Saha Harpreet S. Dhillon Wireless@VT Department of ECE Virginia Tech

ISBN: (纸本)9781479966653

Current approaches to the analysis of heterogeneous cellular networks (HetNets) with random spatial models assume users to be distributed according to a homogeneous Poisson Point Process (PPP) independently of the base station (BS) locations. In reality, however, current deployments are capacity-driven, which correlates the BS and user locations. In this paper, we develop tools for the downlink analysis of HetNets with general non-uniform user distributions by enriching the K-tier PPP HetNet model. Instead of being PPP distributed, the user locations are modeled by a Poisson cluster process with the cluster centers being the BSs. In particular, we provide the first formal analysis of the downlink coverage probability in terms of a general density function describing the locations of users around the BSs. All the results are specialized to a particular case of a Thomas cluster process, where the locations of the users around BSs are Gaussian distributed. Our results concretely demonstrate that the coverage probability decreases with the increasing variance of the user location distribution, ultimately collapsing to the result for the PPP user distribution when the variance goes to infinity.

关键词： Non-uniform user distribution coverage probability Poisson cluster process Thomas cluster process Stochastic geometry

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Optimal design parameters for coverage probability in fractional frequency reuse and soft frequency reuse

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IET COMMUNICATIONS 2015年第10期9卷 1324-1331页

作者： Kumar, Suman Kalyani, Sheetal Giridhar, Krishnamurthy IIT Madras Dept Elect Engn Madras 600036 Tamil Nadu India

In this work, the authors derive the optimal signal-to-interference-ratio (SIR) thresholds S-t which maximise coverage probability for both fractional frequency reuse (FFR) and soft frequency reuse (SFR) networks with base station locations modelled using Poisson point process. It is analytically shown that for both FFR and SFR, the optimal SIR threshold is equal to the target SIR T, i.e, S-t = T. The authors also show that at the optimal SIR threshold, FFR achieves a higher coverage than frequency reuse (1/). Furthermore, for the cases when S-t > T and S-t < T, FFR achieves a higher coverage than reuse (1/) and reuse 1, respectively. On the other hand, SFR coverage can be higher or lower than reuse (1/) coverage, even when S-t = T. However, when S-t > T, SFR achieves a higher coverage than reuse 1, and when S-t < T, the SFR coverage can be lower than reuse 1 coverage. The FFR and SFR coverages are also compared for a given , and it is shown that FFR achieves a higher coverage than SFR at the optimal value of S-t.

关键词： frequency allocation probability interference suppression stochastic processes signal-to-interference-ratio optimal design parameter coverage probability fractional frequency reuse soft frequency reuse base station location modeling Poisson point process FFR coverage optimal SIR threshold SFR coverage

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Qualitative analysis for coverage probability and energy efficiency in cognitive-femtocell networks under macrocell infrastructure

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ELECTRONICS LETTERS 2015年第17期51卷 1378-1379页

作者： Ghosh, J. Roy, S. Dhar New Horizons Inst Technol Durgapur 8 India Natl Inst Technol Durgapur 8 India

The network coverage and energy efficiency issues in heterogeneous cognitive-femtocell networks over the macrocell network is studied. Cognitive functions in wireless network nodes are serviceable with the macrocell infrastructure to achieve a balance between two desirable but incompatible features: coverage and energy efficiency. There are two basic but related aspects of cognitive radios (CRs) in the context of wireless communications: optimum CRs for energy efficiency and the act of the functioning of CRs with energy efficiency. To fully utilise the cognitive capability, a dual-tier network architecture is assumed where both the macrocell and the femtocell have a bearing on the cognitive capability. Owing to the salient features of femtocells, they can improve the coverage and enhance the spectrum efficiency by reutilising the frequency spectrum allocated to the macrocell, although, the resulting intercell interference accompanied by the same frequency coverage cannot be underestimated. The effectiveness of the scheme is verified by extensive Matlab simulation.

关键词： adjacent channel interference cognitive radio energy conservation femtocellular radio frequency allocation interference suppression probability telecommunication network management cognitive capability cognitive function coverage probability dual tier network architecture energy efficiency frequency spectrum allocation heterogeneous cognitive femtocell network intercell interference macrocell infrastructure macrocell network network coverage spectrum efficiency enhancement wireless communication wireless network node

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probability distributions and coverage probability in GUM, JCGM documents, and statistical inference

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MEASUREMENT 2015年 65卷 61-70页

作者： Kacker, Raghu N. NIST Appl & Computat Math Div Gaithersburg MD 20899 USA

We discuss the interpretations of a probability distribution to express the state of knowledge about a quantity and the resulting coverage probability in the 1993 Guide to the Expression of Uncertainty in Measurement (GUM) and the subsequent JCGM documents: JCGM 101:2008, JCGM 104:2009, and JCGM 200:2008. The JCGM 101:2008 is titled 'Supplement 1 to the GUM' and the JCGM 104:2009 is titled 'Introduction to the GUM and related documents'. It is reasonable to expect that they would have followed the GUM definitions of probability distribution and coverage probability. We submit that such is not the case. We submit that a connection between the standard deviation of a JCGM probability distribution and the GUM standard uncertainty is obscure. The JCGM interpretation of a probability distribution is seemingly based on Bayesian statistics. Also coverage probability has a well-established meaning in conventional statistics. Therefore we discuss the meanings of probability distribution and coverage probability in conventional and Bayesian statistical inference. Published by Elsevier Ltd.

关键词： Bayesian inference coverage probability GUM Measurement uncertainty

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Confidence sets based on the positive part James-Stein estimator with the asymptotically constant coverage probability

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JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION 2015年第12期85卷 2506-2513页

作者： Ahmed, S. Ejaz Kareev, Iskander Suraphee, Sujitta Volodin, Andrei Volodin, Igor Brock Univ Dept Math Niagara Reg St Catharines ON L2S 3A1 Canada Kazan VI Lenin State Univ Dept Math Stat Kazan 420008 8 Russia Mahasarakham Univ Dept Math Fac Sci Maha Sarakham 44150 Thailand Univ Regina Dept Math & Stat Regina SK S4S 0A2 Canada

The asymptotic expansions for the coverage probability of a confidence set centred at the James-Stein estimator presented in our previous publications show that this probability depends on the non-centrality parameter tau(2) (the sum of the squares of the means of normal distributions). In this paper we establish how these expansions can be used for a construction of confidence region with constant confidence level, which is asymptotically (the same formula for both case tau -> 0 and tau ->infinity) equal to some fixed value 1-alpha. We establish the shrinkage rate for the confidence region according to the growth of the dimension p and also the value of tau for which we observe quick decreasing of the coverage probability to the nominal level 1-alpha. When p ->infinity this value of tau increases as O(p(1/4)). The accuracy of the results obtained is shown by the Monte-Carlo statistical simulations.

关键词： second-order asymptotic positive part James-Stein estimator asymptotical expansions coverage probability confidence sets multivariate normal distribution

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On the Approximation of coverage probability in Broadcast Single-Frequency Networks 81

On the Approximation of Coverage Probability in Broadcast Si...

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81st IEEE Vehicular Technology Conference (VTC Spring)

作者： Awada, Ahmad Kuru, Lauri Nokia Munich Germany Nokia Espoo Finland

ISBN: (纸本)9781479980888

coverage probability is a key performance indicator for both broadcast and cellular networks, but it is calculated and thus defined in different ways between the two. In this paper, the two definitions are compared and the assumptions for which they are equal are derived. Then the conventional broadcast methodology for calculating the coverage probability is improved by replacing the assumption of uncorrelated shadowing with the assumption of inter-site shadowing correlation and by adding new correction terms to the output of the t-LNM V2 method which is used for approximating the coverage probability. Finally, the impacts of these improvements are simulated using an LTE network as an example, and verified against a Monte-Carlo-simulation. Results have shown that the proposed modifications have accurately accounted for inter-site shadowing correlation and yielded smaller approximation error. Moreover, higher coverage probability is achieved if inter-site shadowing correlation is considered.

关键词： Broadcast coverage probability shadowing inter-site correlation t-LNM V2

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A closed-form expression for coverage probability of random cellular network in composite Rayleigh-Lognormal fading channels 25

A closed-form expression for coverage probability of random ...

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25th International Telecommunication Networks and Applications Conference (ITNAC)

作者： Lam, Sinh Cong Heidary, Roshanak Sandrasegaran, Kumbesan Univ Technol Fac Engn & Informat Technol Ctr Real Time Informat Networks Sydney NSW Australia

ISBN: (纸本)9781467393485

Poisson point process (PPP) network model in which base stations (BSs) and users have Poisson distributions has been recently used to replace grid model for analyzing the performance of cellular networks. The closed-form for the coverage probability of a typical user that connects to the closest base station (BS), however, is only found in case of high transmission signal-to-noise (SNR) and only in Rayleigh fading. This paper derives a closed-form expression for the network coverage probability in composite Rayleigh-Lognormal for both low and high SNR. The analytical results show that the coverage probability is proportional to path loss exponent coefficient, a, and inversely proportional to exponential function of 1/SNR. The analytical results are also verified by Monte Carlo simulations.

关键词： coverage probability Ergodic capacity random cellular network Rayleigh-Lognormal Gauss-Hermite quadrature Gauss-Legendre quadrature

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The impact of a Hausman pretest, applied to panel data, on the coverage probability of confidence intervals

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ECONOMICS LETTERS 2015年 131卷 12-15页

作者： Kabaila, Paul Mainzer, Rheanna Farchione, Davide La Trobe Univ Dept Math & Stat Bundoora Vic 3086 Australia

In the analysis of panel data that includes a time-varying covariate, a Hausman pretest is commonly used to decide whether subsequent inference is made using the random effects model or the fixed effects model. We consider the effect of this pretest on the coverage probability of a confidence interval for the slope parameter. We prove three new finite sample theorems that make it easy to assess, for a wide variety of circumstances, the effect of the Hausman pretest on the minimum coverage probability of this confidence interval. (C) 2015 Elsevier B.V. All rights reserved.

关键词： coverage probability Fixed effects model Hausman specification test Panel data Random effects model

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