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Chaotic Communications have drawn a great deal of attention to the wireless communication industry and research due to its limitless meritorious features, including excellent anti-fading and anti-intercept capabilities and jamming…

Information Theory · Computer Science 2016-08-02 Ehab Salahat

The cumulative distribution function of the non-central chi-square distribution $\chi_\nu'^2(\lambda),\, \nu\in\mathbb{R}^+$ possesses an integral representation in terms of a generalized Marcum $Q$-function. Regarding some already known…

Classical Analysis and ODEs · Mathematics 2020-11-04 Dragana Jankov Maširević , Tibor K. Pogány

This paper studies slow, fast and opportunistic fluid antenna multiple access (FAMA) under the effect of Nakagami-m fading channels, considering the new and realistic spatial blockcorrelation model. Expressions for the outage probability…

Statistics Theory · Mathematics 2025-10-09 Paulo R. de Moura , Hugerles S. Silva , Ugo S. Dias , Higo T. P. Silva

We extend our previous description of the superscaling phenomenon in inclusive electron scattering within the Coherent Density Fluctuation Model (CDFM). This model is a natural extension to finite nuclei of the Relativistic Fermi Gas Model…

Nuclear Theory · Physics 2009-04-08 A. N. Antonov , M. V. Ivanov , M. B. Barbaro , J. A. Caballero , E. Moya de Guerra

We derive a generic expression for the generating function (GF) of the particle-number probability distribution (PNPD) for a simple reaction diffusion model that belongs to the directed percolation universality class. Starting with a single…

Statistical Mechanics · Physics 2009-11-11 Lucian Anton , Hyunggyu Park , Su-Chan Park

Affine frequency division multiplexing (AFDM) is a chirp-based multicarrier waveform that was recently proposed for communication over doubly dispersive channels. Given its chirp nature, AFDM is expected to have superior sensing…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Ebrahim Bedeer

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

We introduce and characterize the Multi-cluster Two-Wave (MTW) fading model, which generalizes \textit{both} the Durgin's Two-Wave with Diffuse Power (TWDP) and the $\kappa$-$\mu$ models under a common umbrella. The MTW model consists of an…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Juan P. Pena-Martin , F. J. Lopez-Martinez , Juan M. Romero-Jerez

This paper provides closed-form expansions for the log-likelihood function of multivariate diffusions sampled at discrete time intervals. The coefficients of the expansion are calculated explicitly by exploiting the special structure…

Statistics Theory · Mathematics 2008-12-18 Yacine Aït-Sahalia

Learning the multivariate distribution of data is a core challenge in statistics and machine learning. Traditional methods aim for the probability density function (PDF) and are limited by the curse of dimensionality. Modern neural methods…

Machine Learning · Statistics 2022-10-14 Magda Amiridi , Nicholas D. Sidiropoulos

We present a closed-form finite-dimensional projection method for regularizing a function defined by a discrete set of measurement data, which have been contaminated by random, zero mean errors, and for estimating the derivative and…

Numerical Analysis · Mathematics 2018-05-28 Timothy J. Burns , Bert W. Rust

A new numerical method is proposed for a 1-D inverse medium scattering problem with multi-frequency data. This method is based on the construction of a weighted cost functional. The weight is a Carleman Weight Function (CWF). In other…

Numerical Analysis · Mathematics 2017-03-24 Michael V. Klibanov , Aleksandr E. Kolesov , Lam Nguyen , Anders Sullivan

This paper derives second-order statistics for diversity-combining techniques over Log-mu fading channels. Closed-form expressions for the level crossing rate (LCR) and average fading duration (AFD) are derived for pure selection combining…

Signal Processing · Electrical Eng. & Systems 2025-11-26 Godfred Kumi Tenkorang , Michel Daoud Yacoub

Meta-surfaces intend to improve significantly the performance of future wireless networks by controlling the wireless propagation and shaping the radio waves according to the generalized Snell's law. A recent application of meta-surfaces is…

It is known, but perhaps not well-known, that when the mortality is assumed to be of Gompertz-Makeham-type, the expected remaining life-length and the commutation functions used for calculating the expected values of various types of life…

Probability · Mathematics 2009-03-02 Andreas Nordvall Lagerås

We derive a closed-form expression for the finite predictor coefficients of multivariate ARMA (autoregressive moving-average) processes. The expression is given in terms of several explicit matrices that are of fixed sizes independent of…

Probability · Mathematics 2019-12-23 Akihiko Inoue

In this paper, we provide a global framework analysis of a dual-hop mixed Radio Frequency (RF)/Free Space Optical (FSO) system with multiple branches/relays wherein the first and second hops, respectively, consist of RF and FSO channels. To…

Signal Processing · Electrical Eng. & Systems 2019-02-11 Elyes Balti , Mohsen Guizani

In this letter we derive the $(n-1)$-dimensional distribution corresponding to a $n$-dimensional i.i.d. Normal standard vector $Z=(Z_1,Z_2,\ldots,Z_n)$ subjected to the weighted sum constraint $\sum_{i=1}^n w_i Z_i=c$, $w_i\neq 0$. We first…

Probability · Mathematics 2018-01-22 Frédéric Vrins

This paper considers the 3D spatial fading correlation (SFC) resulting from an angle-of-arrival (AoA) distribution that can be modelled by a mixture of Fisher-Bingham distributions on the sphere. By deriving a closed-form expression for the…

Information Theory · Computer Science 2015-01-20 Yibeltal F. Alem , Zubair Khalid , Rodney A. Kennedy

We introduce a new class of fading channels, built as the superposition of two fluctuating specular components with random phases, plus a clustering of scattered waves: the Multi-cluster Fluctuating Two-Ray (MFTR) fading channel. The MFTR…

Information Theory · Computer Science 2024-10-28 José David Vega Sánchez , F. Javier López-Martínez , José F. Paris , Juan M. Romero-Jerez