Bivariate Rician shadowed fading model
Abstract
In this paper we present a bivariate Rician shadowed fading model where the shadowing is assumed to follow a Nakagami- 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 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.
Keywords
Cite
@article{arxiv.1701.02981,
title = {Bivariate Rician shadowed fading model},
author = {J. Lopez-Fernandez and J. F. Paris and E. Martos-Naya},
journal= {arXiv preprint arXiv:1701.02981},
year = {2017}
}
Comments
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