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This work studies the product and ratio statistics of independent and non-identically distributed (i.n.i.d) $ \alpha-\kappa - \mu $ shadowed random variables. We derive the series expression for the probability density function (PDF),…

Information Theory · Computer Science 2024-07-16 Shashank Shekhar , Sheetal Kalyani

This paper investigates a natural generalization of the kappa-mu fading channel in which the line-of-sight (LOS) component is subject to shadowing. This fading distribution has a clear physical interpretation, good analytical properties and…

Information Theory · Computer Science 2024-10-30 J. F. Paris

In this paper, the statistical properties of the product of independent and non-identically distributed mixture Gamma (MG) random variables (RVs) are provided first. Specifically, simple exact closed-form expressions for the probability…

Information Theory · Computer Science 2023-03-07 Hussien Al-Hmood , Rafed Sabbar Abbas , H. S. Al-Raweshidy

In this paper, we present the $\alpha$-$\eta$-$\mathcal{F}$ and $\alpha$-$\kappa$-$\mathcal{F}$ composite fading distributions. The two distributions generalize the two well-known composite fading distributions, namely the…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Osamah. S. Badarneh

In this paper, we study the statistical characterization of the sum of the squared $\kappa-\mu$ shadowed random variables with correlated shadowing components. The probability density function (PDF) of this sum is obtained in the form of a…

Information Theory · Computer Science 2014-09-09 Manav R. Bhatnagar

The statistical properties of the multivariate Gamma-Gamma ($\Gamma \Gamma$) distribution with arbitrary correlation have remained unknown. In this paper, we provide analytical expressions for the joint probability density function (PDF),…

Information Theory · Computer Science 2016-11-18 Jiayi Zhang , Michail Matthaiou , George K. Karagiannidis , Linglong Dai

The statistical characterization of the sum of random variables (RVs) are useful for investigating the performance of wireless communication systems. We derive exact closed-form expressions for the probability density function (PDF) and…

Information Theory · Computer Science 2019-10-24 Hongyang Du , Jiayi Zhang , Julian Cheng , Bo Ai

In this work, an integrated performance evaluation of a decode-and-forward (DF) multi-hop wireless communication system is undertaken over the non-linear generalized $\alpha-\kappa-\mu$ and $\alpha-\kappa-\mu$-Extreme fading models.…

Information Theory · Computer Science 2019-03-25 Tau Raphael Rasethuntsa , Sandeep Kumar , Manpreet Kaur

This work is devoted to the formulation and derivation of the $\kappa-\mu$/gamma distribution which corresponds to A physical fading model. This distribution is composite and is based on the well known $\kappa-\mu$ generalized multipath…

Information Theory · Computer Science 2015-05-19 Paschalis C. Sofotasios , Steven Freear

In this paper, a novel gamma-shadowed two-ray with diffuse power (GS-TWDP) composite fading model is proposed. The model is intended for modeling propagation in the emerging wireless networks working at millimeter wave (mmWave) frequencies,…

Signal Processing · Electrical Eng. & Systems 2022-03-07 Pamela Njemcevic , Almir Maric

The sum of correlated gamma random variables appears in the analysis of many wireless communications systems, e.g. in systems under Nakagami-m fading. In this Letter we obtain exact expressions for the probability density function (PDF) and…

Information Theory · Computer Science 2011-03-03 Jose F. Paris

We show that the popular and general {\kappa}-{\mu} shad- owed fading model with integer fading parameters {\mu} and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in…

Information Theory · Computer Science 2024-10-30 F. Javier Lopez-Martinez , Jose F. Paris , Juan M. Romero-Jerez

The $\kappa$-$\mu$ shadowed fading model is a very general fading model as it includes both $\kappa$-$\mu$ and $\eta$-$\mu$ as special cases. In this work, we derive the expression for outage probability when the signal-of-interest (SoI)…

Information Theory · Computer Science 2017-08-08 Suman Kumar , Sheetal Kalyani

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…

Information Theory · Computer Science 2017-01-12 J. Lopez-Fernandez , J. F. Paris , E. Martos-Naya

This paper presents exact formulas for the probability distribution function (PDF) and moment generating function (MGF) of the sum-product of statistically independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$…

Information Theory · Computer Science 2024-05-28 Hamid Amiriara , Mahtab Mirmohseni , Farid Ashtiani , Masoumeh Nasiri-Kenari

We present a general and tractable fading model for line-of-sight (LOS) scenarios, which is based on the product of two independent and non-identically distributed $\kappa$-$\mu$ shadowed random variables. Simple closed-form expressions for…

In this letter, some applications of wireless communication systems over $\alpha-\eta-\kappa-\mu$ fading channels are analysed. More specifically, the effective rate and the average of both the detection probability and area under the…

Information Theory · Computer Science 2019-09-17 Hussien Al-Hmood , H. S. Al-Raweshidy

In this paper, we derive closed-form exact expressions for the main statistics of the ratio of squared alpha-mu random variables, which are of interest in many scenarios for future wireless networks where generalized distributions are more…

Information Theory · Computer Science 2019-02-22 J. D. Vega Sánchez , D. P. Moya Osorio , E. E. Benitez Olivo , H. Alves , M. C. P. Paredes , L. Urquiza-Aguiar

This work is devoted to the formulation and derivation of the $\alpha{-}\kappa{-}\mu{/}$gamma distribution which corresponds to a physical fading model. The proposed distribution is composite and is constituted by the…

Information Theory · Computer Science 2015-05-15 Paschalis C. Sofotasios , Steven Freear

The Gamma-Gamma (GG) distribution has recently attracted the interest within the research community due to its involvement in various communication systems. In the context of RF wireless communications, GG distribution accurately models the…

Information Theory · Computer Science 2009-05-11 Nestor D. Chatzidiamantis , George K. Karagiannidis
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