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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…

In this paper, a transmit antenna selection scheme, which is based on shadowing side information, is investigated. In this scheme, the selected single transmit antenna provides the highest shadowing coefficient between transmitter and…

信息论 · 计算机科学 2012-09-20 Ahmet Yilmaz , Ferkan Yilmaz , Mohamed-Slim Alouini , Oğuz Kucur

We consider the problem of evaluating the cumulative distribution function (CDF) of the sum of order statistics, which serves to compute outage probability (OP) values at the output of generalized selection combining receivers. Generally,…

统计计算 · 统计学 2017-11-15 Nadhir Ben Rached , Zdravko Botev , Abla Kammoun , Mohamed-Slim Alouini , Raul Tempone

The probability distribution function (PDF) of the mass surface density of molecular clouds provides essential information about the structure of molecular cloud gas and condensed structures out of which stars may form. In general, the PDF…

星系天体物理 · 物理学 2015-06-22 Jörg Fischera

Statistical models are employed to characterize the clutter in the radar and the reflective signals of the telecommunication receivers. End to this, Rayliegh distribution is the simplest fading models in NLOS channels possessing…

信号处理 · 电气工程与系统科学 2019-01-23 Zabihollah Hasanshahi , Paeiz Azmi , Mohammad Khajezadeh

Backscatter communication is an energy-efficient technique that enables sustainable wireless connectivity with a minimal environmental impact. In this paper, the secrecy performance of practical non-linear energy-harvesting backscatter…

信息论 · 计算机科学 2025-03-18 Mohammad Nafees , Dharmendra Dixit , Arvind Kumar

The gravitational waves (GWs) emitted by inspiraling binary black holes, expected to be detected by the Laser Interferometer Space Antenna (LISA), could be used to determine the luminosity distance to these sources with the unprecedented…

宇宙学与河外天体物理 · 物理学 2015-05-18 Cien Shang , Zoltan Haiman

Linear precoding and post-processing schemes are ubiquitous in wireless multi-input-multi-output (MIMO) settings, due to their reduced complexity with respect to optimal strategies. Despite their popularity, the performance analysis of…

信息论 · 计算机科学 2019-10-31 M. Kieburg , G. Akemann , G. Alfano , G. Caire

The higher-order statistics (HOS) of the channel capacity $\mu_n=\mathbb{E}[\log^n(1+\gamma_{end})]$, where $n\in\mathbb{N}$ denotes the order of the statistics, has received relatively little attention in the literature, due in part to the…

信息论 · 计算机科学 2012-07-30 Ferkan Yilmaz , Mohamed-Slim Alouini

Both observational and theoretical research over the past decade has demonstrated that the probability distribution function (PDF) of the gas density in turbulent molecular clouds is a key ingredient for understanding star formation. It has…

星系天体物理 · 物理学 2018-11-28 Bastian Körtgen , Christoph Federrath , Robi Banerjee

This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either $M$-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over…

信息论 · 计算机科学 2020-09-29 Yassine Mouchtak , Faissal El Bouanani

In this paper, we propose the {\alpha}-Lomax distribution as a new compound fading channel model. This new distribution generalizes the recently introduced Lomax fading channel model. It is worth noting that the Lomax distribution is a…

信息论 · 计算机科学 2024-06-07 Osamah S. Badarneh , Daniel Benevides da Costa

Extending previous studies, we derive generic predictions for lower order cumulants and their correlators for individual tomographic bins as well as between two different bins. We derive the corresponding one- and two-point joint…

宇宙学与河外天体物理 · 物理学 2015-06-03 Dipak Munshi , Peter Coles , Martin Kilbinger

In this letter, the statistical behaviour of the shallow water acoustic channel for wireless communications is shown to be well characterized by the Ricean shadowed distribution, which has never been proposed for communication purposes on…

数据分析、统计与概率 · 物理学 2011-12-20 F. Ruiz-Vega , M. C. Clemente , P. Otero , J. F. Paris

This paper analyzes a popular loss function used in machine learning called the log-cosh loss function. A number of papers have been published using this loss function but, to date, no statistical analysis has been presented in the…

机器学习 · 统计学 2024-03-19 Resve A. Saleh , A. K. Md. Ehsanes Saleh

For any continuous self-map of a compact metric space, we prove a saturation of distributionally scrambled Mycielski sets under a type of shadowing and the chain transitivity.

动力系统 · 数学 2020-11-10 Noriaki Kawaguchi

Given a probability distribution $\mu$ a set $\Lambda (\mu)$ of positive real numbers is introduced, so that $\Lambda (\mu)$ measures the "divisibility" of $\mu$. The basic properties of $\Lambda (\mu)$ are described and examples of…

概率论 · 数学 2007-05-23 S. Albeverio , H. Gottschalk , J. -L. Wu

We analyse the chaotic motion and its shape dependence in a piecewise linear map using Fujisaka's characteristic function method. The map is a generalization of the one introduced by R. Artuso. Exact expressions for diffusion coefficient…

混沌动力学 · 物理学 2009-11-07 S. Rajagopalan , M. Sabir

Physical layer security is investigated over mixture Gamma (MG) distributed fading channels with discrete inputs. By the Gaussian quadrature rules, closed-form expressions are derived to characterize the average secrecy rate (ASR) and…

信号处理 · 电气工程与系统科学 2020-09-24 Chongjun Ouyang , Sheng Wu , Chunxiao Jiang , Julian Cheng , Hongwen Yang

The one-point probability distribution function (PDF) of the matter density field in the universe is a fundamental property that plays an essential role in cosmology for estimates such as gravitational weak lensing, non-linear clustering,…

宇宙学与河外天体物理 · 物理学 2018-10-10 Anatoly Klypin , Francisco Prada , Juan Betancort-Rijo , Franco D. Albareti