Search results for "Cumulative distribution function"

showing 10 items of 48 documents

On the Statistical Properties of Capacity Outage Intervals in OSTBC-MIMO Rayleigh Fading Channels

2016

This paper deals mainly with the study of the asymptotic probability density functions (PDFs) of the outage durations of the instantaneous capacity of orthogonal space-time block code (OSTBC) multiple-input multiple-output (MIMO) systems over Rayleigh channels. Drawing upon known statistical properties for the asymptotic behavior of chi-squared processes at low levels, we provide approximate solutions for the PDF, the cumulative distribution function (CDF), and the $k$ th-order moments of the outage intervals of the underlying capacity processes. Then, as an application of the derived PDF, the performance assessment of capacity simulators is reported. Following this, we introduce the newly …

Block codeAsymptotic analysisStochastic processApplied MathematicsCumulative distribution functionMIMO020302 automobile design & engineering020206 networking & telecommunicationsProbability density function02 engineering and technologyComputer Science ApplicationsChannel capacity0203 mechanical engineeringStatistics0202 electrical engineering electronic engineering information engineeringApplied mathematicsElectrical and Electronic EngineeringComputer Science::Information TheoryRayleigh fadingMathematicsIEEE Transactions on Wireless Communications
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Exact Closed-Form Expressions for the Distribution, the Level-Crossing Rate, and the Average Duration of Fades of the Capacity of OSTBC-MIMO Channels

2009

Article from the journal: IEEE Transactions on Vehicular Technology Official site: http://dx.doi.org/10.1109/TVT.2008.927038 This paper deals with some important statistical properties of the channel capacity of multiple-input-multiple-output (MIMO) systems with orthogonal space-time block code (OSTBC) transmission. We assume that all the subchannels are uncorrelated. For OSTBC-MIMO systems, exact closed-form expressions are derived for the probability density function (PDF), the cumulative distribution function (CDF), the level-crossing rate (LCR), and the average duration of fades (ADF) of the channel capacity. Furthermore, it will be shown that these exact closed-form expressions can be …

Block codeComputer Networks and CommunicationsCumulative distribution functionMIMOAerospace EngineeringProbability density functionChannel capacitysymbols.namesakeControl theoryVDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552Automotive EngineeringsymbolsApplied mathematicsProbability distributionFadingElectrical and Electronic EngineeringGaussian processComputer Science::Information TheoryMathematicsIEEE Transactions on Vehicular Technology
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The Influence of Spatial Correlation and Severity of Fading on the Statistical Properties of the Capacity of OSTBC Nakagami-m MIMO Channels

2009

This paper deals with the analysis of statistical prop- erties of the capacity of spatially uncorrelated orthogonal space- time block coded (OSTBC) Nakagami-m multiple-input multiple- output (MIMO) channels. We have derived exact closed-form expressions for the probability density function (PDF), cumula- tive distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the channel capacity. We have also investigated the statistical properties of the approximated capacity of spatially correlated OSTBC Nakagami-m MIMO channels. The results are studied for different values of the fading parameter m, corresponding to different fading conditions. It is observed …

Block codeSpatial correlationCumulative distribution functionMIMONakagami distributionProbability density functionChannel capacityChannel codingChannel capacityVDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552StatisticsMIMO communicationFadingComputer Science::Information TheoryMathematicsVTC Spring 2009 - IEEE 69th Vehicular Technology Conference
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On the statistical properties of the capacity of OSTBC Nakagami-lognormal MIMO channels

2010

This article presents a thorough statistical analysis of the capacity of orthogonal space-time block coded (OSTBC) Nakagami-lognormal (NLN) multiple-input multipleoutput (MIMO) channels. The NLN channel model allows to study the joint effects of fast fading and shadowing on the statistical properties of the channel capacity. We have derived exact analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the capacity of NLN MIMO channels. It is observed that an increase in the MIMO dimension1 or a decrease in the severity of fading results in an increase in the mean channel capa…

Channel capacityCumulative distribution functionMIMOLog-normal distributionStatisticsFadingNakagami distributionProbability density functionStandard deviationComputer Science::Information TheoryMathematics2010 4th International Conference on Signal Processing and Communication Systems
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The Influence of the Severity of Fading and Shadowing on the Statistical Properties of the Capacity of Nakagami-Lognormal Channels

2008

This paper deals with the study of the statistical properties of the capacity of Nakagami-lognormal (NLN) channels for various fading environments. Specifically, the impact of shadowing and the severity of fading on the channel capacity is investigated. We have derived analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the channel capacity. These results are analyzed for different levels of shadowing and for various fading conditions, corresponding to different terrestrial environments. It is observed that the severity of fading and shadowing has a significant influence …

Channel capacityFading distributionComputer scienceCumulative distribution functionLog-normal distributionStatisticsNakagami distributionFadingComputer Science::Information TheoryCommunication channelRayleigh fadingIEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference
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On the statistical properties of the capacity of double Hoyt fading channels

2010

The statistical properties of the capacity of narrowband double Hoyt fading channels are studied. Toward this end, analytical expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the instantaneous channel capacity process are derived. Furthermore, for the characterization of the dynamical behavior of the time-varying channel capacity, expressions are provided for the level-crossing rate (LCR) and the average duration of fades (ADF). Since the double Rayleigh fading channel is a special case of the double Hoyt model, it is shown that the derived expressions can be reduced to the corresponding results already known for the capacity of the double…

Channel capacityFading distributionNarrowbandChannel state informationCumulative distribution functionMIMOComputer Science::Networking and Internet ArchitectureElectronic engineeringFadingStatistical physicsComputer Science::Information TheoryRayleigh fadingMathematics2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
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Statistical properties of the capacity of multipath fading channels

2009

It is well known that a frequency-nonselective multipath fading channel can be modeled by a sum of complex sinusoids, also called sum-of-cisoids (SOC). By using the SOC, we can efficiently model the scattered component of the received signal in non-isotropic scattering environments. Such SOC-based multipath channel models provide the flexibility of having correlated in-phase and quadrature phase components of the received signal. This paper presents the derivation and analysis of the statistical properties of the capacity of multipath fading channels under LOS conditions. As an appropriate stochastic model for the multipath fading channel, we have adopted the SOC model. We have derived the …

Channel capacityStochastic modellingComputer scienceCumulative distribution functionStatisticsAlgorithmRandom variableMultipath propagationComputer Science::Information TheoryCommunication channel2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications
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Is there an absolutely continuous random variable with equal probability density and cumulative distribution functions in its support? Is it unique? …

2014

This paper inquires about the existence and uniqueness of a univariate continuous random variable for which both cumulative distribution and density functions are equal and asks about the conditions under which a possible extrapolation of the solution to the discrete case is possible. The issue is presented and solved as a problem and allows to obtain a new family of probability distributions. The different approaches followed to reach the solution could also serve to warn about some properties of density and cumulative functions that usually go unnoticed, helping to deepen the understanding of some of the weapons of the mathematical statistician’s arsenal.

Characteristic function (probability theory)Cumulative distribution functionCalculusProbability mass functionProbability distributionApplied mathematicsProbability density functionMoment-generating functionRandom variableLaw of the unconscious statisticianMathematicsInternational Journal of Advanced Statistics and Probability
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On the first- and second-order statistics of the capacity of N*Nakagami-m channels for applications in cooperative networks

2012

This article deals with the derivation and analysis of the statistical properties of the instantaneous channel capacitya of N*Nakagami-m channels, which has been recently introduced as a suitable stochastic model for multihop fading channels. We have derived exact analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the instantaneous channel capacity of N*Nakagami-m channels. For large number of hops, we have studied the first-order statistics of the instantaneous channel capacity by assuming that the fading amplitude of the channel can approximately be modeled as a lognor…

Computer Networks and CommunicationsStochastic modellingComputer scienceCumulative distribution functionNakagami distributionComputer Science ApplicationsComputer Science::PerformanceChannel capacitySignal ProcessingLog-normal distributionStatisticsComputer Science::Networking and Internet ArchitectureFadingStatistical physicsComputer Science::Information TheoryCommunication channelEURASIP Journal on Wireless Communications and Networking
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The Influence of LOS Components on the Statistical Properties of the Capacity of Amplify-and-Forward Channels

2009

Also available from publisher: http://dx.doi.org/10.4236/wsn.2009.11002 Amplify-and-forward channels in cooperative networks provide a promising improvement in the network coverage and system throughput. Under line-of-sight (LOS) propagation conditions in such cooperative networks, the overall fading channel can be modeled by a double Rice process. In this article, we have stud-ied the statistical properties of the capacity of double Rice fading channels. We have derived the analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level- crossing rate (LCR), and average duration of fades (ADF) of the channel capacity. The obtained results ar…

Computer sciencebusiness.industryCumulative distribution functionProbability density functionThroughputCommunications systemTopologysymbols.namesakeChannel capacityAmplitudeVDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552symbolsFadingRayleigh scatteringTelecommunicationsbusinessComputer Science::Information TheoryWireless Sensor Network
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