A Mixture Gamma Distribution to Model the SNR of Wireless Channels

Atapattu, Saman; Tellambura, Chintha; Jiang, Hai

doi:10.1109/twc.2011.111210.102115

Cited by 227 publications

(183 citation statements)

References 41 publications

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“…Lemma 1: if fading factor follows a rayleigh-lognormal distribution, then its pdf can be approximated with a weighted sum of several exponential distributions Proof: see [14,Section III]. Note that Rayleigh-lognormal fading is the special case of the nakagami-lognormal fading.…”

Section: Reliability Analysismentioning

confidence: 99%

Reliability Analysis of Safety Intervehicle Communications in a Highway Environment

Wang¹,

Liu

Zu³

et al. 2017

Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

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Abstract-Vehicular network can improve traffic safety by exchange of safety-related messages between the vehicles within the the neighborhood of each other. However, many research related to vehicular network depends heavily on system-level simulation. In this paper, we use tools from stochastic geometry to analyze the reliability of the transmission of periodic message in a highway scenario. A Poission point process (PPP) basedbased network and slotted-aloha MAC scheme is assumed. Three-slope pass loss and rayleigh-lognormal fading are taken into consideration. Coverage probability and packet reception rate (PRR) are adopt as the reliability metrics. We then derive the closed form expressions of coverage probability and PRR. Finally, the accuracy of the analysis is validated via simulation.

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Section: Reliability Analysismentioning

confidence: 99%

Reliability Analysis of Safety Intervehicle Communications in a Highway Environment

Wang¹,

Liu

Zu³

et al. 2017

Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

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“…Unfortunately, MGFs of some fading models (e.g., or model) or some network scenarios (e.g., cooperative spectrum sensing) do not have a rational form. For those scenarios, we make the following suggestions: 1) [11] proposes a mixture gamma (MG) model for the distribution of the SNR, which can accurately approximate existing fading channels. The MGF of the MG model is in a simple rational form; 2) for cooperative spectrum sensing in cognitive radio, we have derived in [4] the rational form MGFs; and 3) in general, the Taylor series and the Padé approximation of the MGF can generate rational forms.…”

Section: B Auc In Other Network Scenariosmentioning

confidence: 99%

MGF Based Analysis of Area under the ROC Curve in Energy Detection

2011

Self Cite

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Abstract-The area under the receiver operating characteristic (ROC) curve (AUC), an important performance measure of the energy detector, is derived for Nakagamiand -fading channels. The analysis is based on the moment generating function (MGF) of the received signal-to-noise ratio (SNR). The derived closed-form expressions do not include special functions, thus reducing computational issues. The analytical framework can also be applied in cases with other fading channels, with diversity reception, or with cooperative spectrum sensing.

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“…Subsequently, the authors of [7] empirically proposed Gamma distribution based shadow fading model due to provide more tractable performance analysis. Following this, in many works focused on databit level analyses, gamma mixture distribution is utilized to characterize the shadow fading in composite models which include macroscopic and microscopic fadings together [8], [9]. Various other shadow fading models such as inverse Gaussian have also been considered in such composite channels [10].…”

Section: Introductionmentioning

confidence: 99%

An empirical study on gamma shadow fading based localization

Büyükçorak

Kurt

Yongaçoğlu

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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Abstract-In this paper, we propose a maximum likelihood estimator for received signal strength (RSS) based indoor localization systems by exploiting gamma shadow fading model. In order to investigate the validity of proposed method in a realistic environment, we develop a testbed based on Wi-Fi technology. Through experimental analyses, we first demonstrate the gamma distribution is a good fit to lognormal distribution, and both of them can sufficiently accurately characterize the empirical RSS observations. Then, we observe that gamma distribution is worth investigating for indoor localization compared to lognormal model because it provides superior accuracy. We further analyze the impacts of uncertainties of considered distributions' parameters on the localization performance via simulations.

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A Mixture Gamma Distribution to Model the SNR of Wireless Channels

Cited by 227 publications

References 41 publications

Reliability Analysis of Safety Intervehicle Communications in a Highway Environment

Reliability Analysis of Safety Intervehicle Communications in a Highway Environment

MGF Based Analysis of Area under the ROC Curve in Energy Detection

An empirical study on gamma shadow fading based localization

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