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A sample of eight quasars observed at high resolution and signal-to-noise is used to determine the probability distribution function (PDF), the power spectrum, and the correlation function of the transmitted flux in the \lya forest, in…

The normal distribution is used as a unified probability distribution, however, our researcher found that it is not good agreed with the real-life dynamical system's data. We collected and analyzed representative naturally occurring data…

Dynamical Systems · Mathematics 2020-11-06 Wei Ping Cheng , Zhi Hong Zhang , Pu Wang

Large-scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel-losses in general, and…

Information Theory · Computer Science 2014-12-30 Mouhamed Abdulla , Yousef R. Shayan

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

The framework of multifractal analysis (MFA) is distilled to the most sophisticated one. Within this transparent framework, it is shown that the harmonious representation of MFA utilizing two distinct Tsallis distribution functions, one for…

Statistical Mechanics · Physics 2009-11-10 T. Arimitsu , N. Arimitsu

Photon counts statistics have recently been proven to provide a sensitive observable for characterizing gamma-ray source populations and for measuring the composition of the gamma-ray sky. In this work, we generalize the use of the standard…

High Energy Astrophysical Phenomena · Physics 2017-02-22 H. -S. Zechlin , A. Cuoco , F. Donato , N. Fornengo , M. Regis

In many wireless systems, interference is the main performance-limiting factor, and is primarily dictated by the locations of concurrent transmitters. In many earlier works, the locations of the transmitters is often modeled as a Poisson…

Information Theory · Computer Science 2016-11-17 Radha Krishna Ganti , Jeffrey G. Andrews , Martin Haenggi

This paper proposes a unified framework for the effective rate analysis over arbitrary correlated and not necessarily identical multiple inputs single output (MISO) fading channels, which uses moment generating function (MGF) based approach…

Information Theory · Computer Science 2016-12-13 Minglei You , Hongjian Sun , Jing Jiang , Jiayi Zhang

The present paper is devoted to the evaluation of energy detection based spectrum sensing over different multipath fading and shadowing conditions. This is realized by means of a unified and versatile approach that is based on the…

Using tools from extreme value theory (EVT), it is proved that, when the user signal and the interferer signals undergo independent and non-identically distributed (i.n.i.d.) $\kappa-\mu$ shadowed fading, the limiting distribution of the…

Information Theory · Computer Science 2019-10-29 Athira Subhash , Muralikrishnan Srinivasan , Sheetal Kalyani

The recently introduced independent fluctuating two-ray (IFTR) fading model, consisting of two specular components fluctuating independently plus a diffuse component, has proven to provide an excellent fit to different wireless…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Hadi Hashemi , Juan M. Romero-Jerez

The research presents the closed-form outage analysis of the newly presented $\alpha$-modification of the shadowed Beaulieu-Xie fading model for wireless communications. For the considered channel, the closed-form analytical expressions for…

Signal Processing · Electrical Eng. & Systems 2024-02-12 Aleksey S. Gvozdarev

We introduce the Fluctuating Two-Ray (FTR) fading model, a new statistical channel model that consists of two fluctuating specular components with random phases plus a diffuse component. The FTR model arises as the natural generalization of…

Information Theory · Computer Science 2020-04-02 Juan M. Romero-Jerez , F. Javier Lopez-Martinez , José F. Paris , Andrea J. Goldsmith

The weak lensing surveys have the potential to probe directly the clustering statistics of dark matter in the universe. Recent studies have shown that it is possible to predict analytically the whole probability distribution function (pdf)…

Astrophysics · Physics 2009-11-07 Dipak Munshi

This paper investigates the issue of connectivity of a wireless adhoc network in the presence of channel impairments. We derive analytical expressions for the node isolation probability in an adhoc network in the presence of Nakagami-m…

Networking and Internet Architecture · Computer Science 2010-07-15 A. V. Babu , Mukesh Kumar Singh

The structure of molecular clouds can be characterized with the probability distribution function (PDF) of the mass surface density. In particular, the properties of the distribution can reveal the nature of the turbulence and star…

Astrophysics of Galaxies · Physics 2015-06-22 Rachel L. Ward , James Wadsley , Alison Sills

This paper presents an extensive survey of regular distributions in natural and social sciences. The survey includes studies from a wide scope of academic disciplines, in order to create an inventory of the different mathematical functions…

Physics and Society · Physics 2015-07-14 L. Benguigui , M. Marinov

Current statistical channel models for Terahertz (THz) wireless communication primarily concentrate on the sub-THz band, mostly with $\alpha$-$\mu$ and Gaussian mixture fading distributions for short-term fading and deterministic modeling…

Signal Processing · Electrical Eng. & Systems 2023-10-31 Pranay Bhardwaj , S. M. Zafaruddin

While the efficiency of MIMO transmissions in a rich scattering environment has been demonstrated, less is known about the situation where the fading matrix coefficients come from a line-of-sight model. In this paper, we study in detail how…

Information Theory · Computer Science 2013-01-31 Marc Desgroseilliers , Olivier Leveque , Emmanuel Preissmann