Bivariate Rician shadowed fading model
Autor: | Lopez-Fernandez, J., Paris, J. F., Martos-Naya, E. |
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Rok vydání: | 2017 |
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Druh dokumentu: | Working Paper |
Popis: | In this paper we present a bivariate Rician shadowed fading model where the shadowing is assumed to follow a Nakagami-$m$ distribution. We derive exact expressions involving a single integral for both the joint probability density function (PDF) and the joint cumulative distribution function (CDF) and we also derive an exact closed-form expression for the moment generating function (MGF). As a direct consequence we obtain a closed-form expression for the power correlation coefficient between Rician shadowed variables as a function of the correlation coefficient between the underlying variables of the model. Additionally, in the particular case of integer $m$ we show that the PDF can be expressed in closed-form in terms of a sum of m Meijer G-functions of two variables. Results are applied to analyze the outage probability (OT) of a dual-branch selection combiner (SC) in correlated Rician shadowed fading and the evaluation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Rician shadowed fading envelope. Comment: This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after wich this version may no longer be accessible |
Databáze: | arXiv |
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