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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…

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

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…

Information Theory · Computer Science 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,…

Computation · Statistics 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…

Astrophysics of Galaxies · Physics 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…

Signal Processing · Electrical Eng. & Systems 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…

Information Theory · Computer Science 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Astrophysics of Galaxies · Physics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Data Analysis, Statistics and Probability · Physics 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…

Machine Learning · Statistics 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.

Dynamical Systems · Mathematics 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…

Probability · Mathematics 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…

Chaotic Dynamics · Physics 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…

Signal Processing · Electrical Eng. & Systems 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,…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-10 Anatoly Klypin , Francisco Prada , Juan Betancort-Rijo , Franco D. Albareti
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