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We perform high resolution ray-tracing simulations to investigate probability distribution functions (PDFs) of lensing convergence, shear, and magnification on distant sources up to the redshift of $z_s=20$. We pay particular attention to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Ryuichi Takahashi , Masamune Oguri , Masanori Sato , Takashi Hamana

This paper proposes a comprehensive and unprecedented framework that streamlines the derivation of exact, compact -- yet tractable -- solutions for the probability density function (PDF) and cumulative distribution function (CDF) of the sum…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Fernando Darío Almeida García , Michel Daoud Yacoub , José Cândido Silveira Santos Filho

Considerable efforts have been devoted to statistical modeling and the characterization of channels in a range of statistical models for fading channels. In this paper, we consider a unified approach to model wireless channels by the…

Information Theory · Computer Science 2016-11-15 Bassant Selim , Omar Alhussein , Sami Muhaidat , George K. Karagiannidis , Jie Liang

This paper presents key parameters including the line-of-sight (LOS) probability, large-scale path loss, and shadow fading models for the design of future fifth generation (5G) wireless communication systems in urban macro-cellular (UMa)…

Information Theory · Computer Science 2016-11-17 Shu Sun , Timothy A. Thomas , Theodore S. Rappaport , Huan Nguyen , Istvan Z. Kovacs , Ignacio Rodrigue

One of the targets of the recently launched Fermi Gamma-ray Space Telescope is a diffuse gamma-ray background from dark-matter annihilation or decay in the Galactic halo. N-body simulations and theoretical arguments suggest that the dark…

Astrophysics · Physics 2009-07-22 Samuel K. Lee , Shin'ichiro Ando , Marc Kamionkowski

Most of the well-known fading distributions, if not all of them, could be encompassed by Fox's $H$-function fading. Consequently, we investigate the exact and asymptotic behavior of physical layer security (PLS) over Fox's $H$-function…

Information Theory · Computer Science 2019-05-10 Long Kong , Georges Kaddoum , Hatim Chergui

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

In Paper I we studied the theory of gravitational microlensing for a planar distribution of point masses. In this second paper, we extend the analysis to a three-dimensional lens distribution. First we study the lensing properties of…

Astrophysics · Physics 2007-05-23 Man Hoi Lee , Arif Babul , Lev Kofman , Nick Kaiser

We study the slowing down of particle beams passing through the dusty plasma with power-law kappa-distributions. Three plasma components, electrons, ions and dust particles, can have different kappa-parameter. We derive the deceleration…

Plasma Physics · Physics 2019-02-22 Jiulin Du , Ran Guo , Zhipeng Liu , Songtao Du

We present a generalization of the notoriously unwieldy second-order scattering fading model, which is helpful to alleviate its mathematical complexity while providing an additional degree of freedom. This is accomplished by allowing its…

Information Theory · Computer Science 2024-10-28 Jesus Lopez-Fernandez , Gonzalo J. Anaya-Lopez , F. Javier Lopez-Martinez

We consider the following basic link capacity (a.k.a., one-shot scheduling) problem in wireless networks: Given a set of communication links, find a maximum subset of links that can successfully transmit simultaneously. Good performance…

Information Theory · Computer Science 2017-06-19 Magnus M. Halldorsson , Tigran Tonoyan

An ad hoc network with a finite spatial extent and number of nodes or mobiles is analyzed. The mobile locations may be drawn from any spatial distribution, and interference-avoidance protocols or protection against physical collisions among…

Information Theory · Computer Science 2013-04-22 Don Torrieri , Matthew C. Valenti

Decode-and-forward (DF) cooperative communication based on free space optical (FSO) links is studied in this letter. We analyze performance of the DF protocol in the FSO links following the Gamma-Gamma distribution. The cumulative…

Information Theory · Computer Science 2015-06-05 Manav R. Bhatnagar

We present an approximate form for the weak lensing magnification distribution of standard candles, valid for all cosmological models, with arbitrary matter distributions, over all redshifts. Our results are based on a universal probability…

Astrophysics · Physics 2009-11-07 Yun Wang , Daniel E. Holz , Dipak Munshi

We present a composite wireless fading model encompassing multipath fading and shadowing based on fluctuating two-ray (FTR) fading and inverse gamma (IG) shadowing. We first determine an alternative framework for the statistical…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Juan M. Romero-Jerez , F. Javier López-Martínez , Andrea J. Goldsmith

The method of photon distribution function (PDF) is used to study fluctuations of light beams propagating through a turbulent atmosphere. Our analysis concerns the regime of saturated fluctuations. The focus is on the phenomena of beam…

Quantum Physics · Physics 2022-06-07 V. L. Andriichuk , O. O. Chumak , L. A. Derzhypolska , I. V. Matsniev

Approximate random matrix models for $\kappa-\mu$ and $\eta-\mu$ faded multiple input multiple output (MIMO) communication channels are derived in terms of a complex Wishart matrix. The proposed approximation has the least Kullback-Leibler…

Information Theory · Computer Science 2019-10-23 Muralikrishnan Srinivasan , Sheetal Kalyani

In this paper, we analyse the joint impact of pathloss, shadowing and fast fading on wireless networks. Taking into account the pathloss and the shadowing, we first express the SINR distribution of a mobile located at a given distance from…

Networking and Internet Architecture · Computer Science 2010-01-08 Jean-Marc Kelif , Marceau Coupechoux

In this paper, we derive exact closed-form expressions for the bivariate Nakagami-$m$ cumulative distribution function (CDF) with positive integer fading severity index $m$ in terms of a class of hypergeometric functions. Particularly, we…

Information Theory · Computer Science 2024-10-30 F. J. Lopez-Martinez , D. Morales-Jimenez , E. Martos-Naya , J. F. Paris

Shadowing is believed to degrade the quality of service (QoS) in wireless cellular networks. Assuming log-normal shadowing, and studying mobile's path-loss with respect to the serving base station (BS) and the corresponding interference…

Networking and Internet Architecture · Computer Science 2013-04-04 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray
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