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Let $\mathbf{H}=(h_{ij})$ and $\mathbf{G}=(g_{ij})$ be two $m\times n$, $m\leq n$, random matrices, each with i.i.d complex zero-mean unit-variance Gaussian entries, with correlation between any two elements given by…

Probability · Mathematics 2007-05-23 Shuangquan Wang , Ali Abdi

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

In this work, we evaluate the outage probability (OP) for L-branch equal gain combining (EGC) diversity receivers operating over fading channels, i.e. equivalently the cumulative distribution function (CDF) of the sum of the L channel…

Signal Processing · Electrical Eng. & Systems 2019-03-14 Nadhir Ben Rached , Abla Kammoun , Mohamed-Slim Alouini , Raul Tempone

This letter provides closed-form expressions for the outage probability, the average level crossing rate (LCR) and the average fade duration (AFD) of a dual diversity selection combining (SC) system exposed to the combined influence of the…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov

We here introduce an extension and natural generalization of both the \kappa-\mu$\,$shadowed and the classical Beckmann fading models: the Fluctuating Beckmann (FB) fading model. This new model considers the clustering of multipath waves on…

Information Theory · Computer Science 2020-04-02 Pablo Ramirez-Espinosa , F. Javier Lopez-Martinez , Jose F. Paris , Michel D. Yacoub , Eduardo Martos-Naya

The outage probability performance of a dual-hop amplify-and-forward selective relaying system with global relay selection is analyzed for Nakagami-$m$ fading channels in the presence of multiple interferers at both the relays and the…

Networking and Internet Architecture · Computer Science 2014-10-07 Kezhi Wang , Yunfei Chen , Marco Di Renzo

We introduce a general approach to characterize composite fading models based on inverse gamma (IG) shadowing. We first determine to what extent the IG distribution is an adequate choice for modeling shadow fading, by means of a…

Information Theory · Computer Science 2024-10-30 Pablo Ramírez-Espinosa , F. Javier Lopez-Martinez

The information that can be transmitted through a wireless channel, with multiple-antenna equipped transmitter and receiver, is crucially influenced by the channel behavior as well as by the structure of the input signal. We characterize in…

Information Theory · Computer Science 2014-10-22 Giuseppa Alfano , Carla-Fabiana Chiasserini , Alessandro Nordio , Siyuan Zhou

Based on the canonical correlation analysis we derive series representations of the probability density function (PDF) and the cumulative distribution function (CDF) of the information density of arbitrary Gaussian random vectors as well as…

Information Theory · Computer Science 2022-07-13 Jonathan Huffmann , Martin Mittelbach

Multiple input multiple output (MIMO) approach in fiber optical communication has emerged as an effective proposition to address the ever increasing demand for information exchange. In the ergodic case, the multiple channels, associated…

Information Theory · Computer Science 2022-11-28 Aritra Laha , Santosh Kumar

In this paper, the joint distribution of the sum and maximum of independent, not necessarily identically distributed, nonnegative random variables is studied for two cases: i) continuous and ii) discrete random variables. First, a recursive…

Probability · Mathematics 2024-07-01 Christos N. Efrem

In recent years, the multiple-input multiple-output (MIMO) non-orthogonal multiple-access (NOMA) systems have attracted a significant interest in the relevant research communities. As a potential precoding scheme, the generalized singular…

Information Theory · Computer Science 2024-10-28 Chenguang Rao , Zhiguo Ding , Kanapathippillai Cumanan , Xuchu Dai

In this paper we obtain closed expressions for the probability distribution function, when we consider aggregated risks with multivariate dependent Pareto distributions. We work with the dependent multivariate Pareto type II proposed by…

Methodology · Statistics 2015-06-02 José María Sarabia , Emilio Gómez-Déniz , Faustino Prieto , Vanesa Jordá

The Recent Fluid Deformation Closure (RFDC) model of lagrangian turbulence is recast in path-integral language within the framework of the Martin-Siggia-Rose functional formalism. In order to derive analytical expressions for the…

Fluid Dynamics · Physics 2015-06-18 L. Moriconi , R. M. Pereira , L. S. Grigorio

We study density fluctuations in supersonic turbulence using both theoretical methods and numerical simulations. A theoretical formulation is developed for the probability distribution function (PDF) of the density at steady state,…

Astrophysics of Galaxies · Physics 2019-09-04 Liubin Pan , Paolo Padoan , Åke Nordlund

Dispersion of a passive scalar from concentrated sources in fully developed turbulent channel flow is studied with the probability density function (PDF) method. The joint PDF of velocity, turbulent frequency and scalar concentration is…

Fluid Dynamics · Physics 2010-03-24 J. Bakosi , P. Franzese , Z. Boybeyi

This paper analyzes the joint Rate Distortion Function (RDF) of correlated multivariate Gaussian sources with individual square-error distortions. Leveraging Hotelling's canonical variable form, presented is a closed-form characterization…

Information Theory · Computer Science 2025-08-25 Evagoras Stylianou , Charalambos D. Charalambous , Themistoklis Charalambous

In this paper, we investigate the performance of a dual-hop block fading cognitive radio network with underlay spectrum sharing over independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$ fading channels. The…

Information Theory · Computer Science 2017-05-08 Saeed Vahidian , Maryam Najafi , Marzieh Najafi , Fawaz S. Al-Qahtani

We introduce and characterize the independent fluctuating two-ray (IFTR) fading model, a class of fading models consisting of two specular components which fluctuate independently, plus a diffuse component modeled as a complex Gaussian…

Information Theory · Computer Science 2022-05-12 Maryam Olyaee , José A. Cortés , F. Javier Lopez-Martinez , José F. Paris , Juan M. Romero-Jerez

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