Analytical approach to performance analysis for channel subject to shadowing and fading

Kostić, I.M.

doi:10.1049/ip-com:20045126

Cited by 218 publications

(149 citation statements)

References 15 publications

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“…Other models have been proposed, either from physical plausibility arguments or for easier mathematical tractability. The two other models that we have encountered for the distribution of e S i are truncated lognormal [86], [99] and Gamma [100]- [102]. See [86, Sec.…”

Section: B Non-lognormal Shadowingmentioning

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: B Non-lognormal Shadowingmentioning

confidence: 99%

On the Feasibility of Wireless Shadowing Correlation Models

Szyszkowicz

Yanıkömeroğlu

Thompson

2010

IEEE Trans. Veh. Technol.

163

125

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“…After substituting (9) in (8), the expression for joint PDF of Weibull random envelope and the first derivative of Weibull random envelope becomes:…”

Section: Level Crossing Ratementioning

confidence: 99%

“…On the other side, the usage of Gamma distribution allows much simpler mathematical manipulations and formulas for obtaining all system performance. More recent papers have shown that lognormal and Gamma distributions get along well [9,10]. The model of signal power described by Gamma distribution makes the analysis of the system easier and gives the expressions for system performance (such as probability density function (PDF) of signal to noise ratio (SNR)) in the closed shape.…”

Section: Introductionmentioning

confidence: 99%

Level crossing rate of SC receiver over gamma shadowed Weibull multipath fading channel

et al. 2016

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Original scientific paper The wireless telecommunication system consisting of selection combining (SC) receiver which works in Gamma shadowed Weibull multiple-faded channel is discussed in this work. The received signal suffers Weibull small scale fading which leads in variation of the signal envelope and Gamma large scale fading which results in variation of the SC receiver output signal envelope power. SC receiver is utilized to abate the impact of Gamma large scale fading effects and Weibull small scale fading effects on system characteristics. The formula for average level crossing rate (LCR) of signal envelope at SC combiner output is performed in the closed shape. The result we get can be applied to calculate the average fade duration (AFD) of such wireless systems. The obtained solutions are plotted in a few graphs to point out the impact of Weibull fading envelope severity parameter and Gamma shadowing severity parameter on system features. Keywords: Gamma shadowing; level crossing rate (LCR); selection combining (SC); Weibull fading Srednji broj osnih presjeka kod SC prijemnika u kanalu s Weibull-ovim fedingom i Gamma sjenkomIzvorni znanstveni članak U ovom radu je razmotren bežični telekomunikacijski sustav sa SC prijemnikom koji radi u prisustvu Weibull-ovog fedinga i Gamma sjenke. Utjecaj Weibull-ovog fedinga na primljeni signal se ogleda u promjeni anvelope signala, a utjecaj Gamma sjenke u promjeni snage izlaznog signala. SC prijemnik se koristi za smanjenje utjecaja fedinga i sjenke na karakteristike sustava. Izraz za srednji broj osnih presjeka izlaznog signala iz SC prijemnika je izveden u zatvorenom obliku. Dobiveni rezultati se mogu koristiti za izračunavanje prosječnog trajanja otkaza bežičnog sustava. Numerički rezultati su predstavljeni grafički, kako bi se prikazao utjecaj parametara fedinga i sjenke na karakteristike sustava.

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“…The variation of the average power, due to shadowing, is usually modeled by the lognormal distribution, however, in this paper, the Gamma distribution, which has shown a good fit to experimental data [3,4] and can approximate the lognormal distribution, is used [5][6][7]: In (2), the parameter m s is the shadowing parameter and Ω 0 is a measure of the average power [6]. The PDFs ranging from lognormal to Gaussian can be generated by varying the shadowing parameter m s [5].…”

Section: Composite Fading Modelmentioning

confidence: 99%

“…Similar to the multipath fading parameter m m , the severity of shadowing is inversely proportional to m s so that small values of m s indicate severe shadowing conditions. In [3,6], using the moment matching method between the PDF in (2) and the lognormal PDF, it was shown that The PDF of the received signal power due to both multipath fading and shadowing, can be obtained as [1] ( ) ( ) ( )dy…”

Section: Composite Fading Modelmentioning

confidence: 99%

On the Approximation of the Generalized-K PDF by a Gamma PDF Using the Moment Matching Method

Al-Ahmadi

Yanıkömeroğlu

2009

2009 IEEE Wireless Communications and Networking Conference

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Abstract-Using the Nakagami probability density function (PDF) to model multipath fading and the Gamma PDF to model shadowing, in a wireless channel, has led to a closed-form expression for the composite fading PDF, known as the generalized-K PDF (also called Gamma-Gamma PDF). However, further derivations have shown that the cumulative distribution function (CDF) and the characteristic function of the generalized-K PDF contain special functions that are involved to handle. In this paper, an approximation of the generalized-K PDF by the familiar Gamma PDF is introduced. The parameters of the approximating Gamma PDF are computed using the moment matching method. The accuracy of this approximation in the lower and upper tail regions is enhanced by adjusting the parameters of the approximating Gamma distribution in each region. The CDF and the complementary CDF plots show that this approximation is sufficiently accurate for both integer and non-integer practical values of the multipath fading and shadowing parameters. The region-wise approximation obtained by the adjusted moment matching method is used to wellapproximate the PDF of the sum of identically and independent generalized-K random variables. Applications of the obtained results arise in distributed antenna systems (DASs), cooperative relay networks, radar, and sonar systems.

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Analytical approach to performance analysis for channel subject to shadowing and fading

Cited by 218 publications

References 15 publications

On the Feasibility of Wireless Shadowing Correlation Models

On the Feasibility of Wireless Shadowing Correlation Models

Level crossing rate of SC receiver over gamma shadowed Weibull multipath fading channel

On the Approximation of the Generalized-K PDF by a Gamma PDF Using the Moment Matching Method

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