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The incomplete moment generating function (IMGF) has paramount relevance in communication theory, since it appears in a plethora of scenarios when analyzing the performance of communication systems. We here present a general method for…

Information Theory · Computer Science 2024-10-30 F. J. Lopez-Martinez , J. M. Romero-Jerez , J. F. Paris

This paper introduces a novel statistical simulator designed to model propagation in two-way diffuse power (TWDP) fading channels. The simulator employs two zero-mean stochastic sinusoids to simulate specular components, while a sum of…

Signal Processing · Electrical Eng. & Systems 2025-02-06 Almir Maric , Pamela Njemcevic

It is well known that wave collapses can emerge from the focusing one-dimensional (1-D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how these wave collapses affect the spectral properties and…

Pattern Formation and Solitons · Physics 2024-02-29 Ashleigh Simonis , Yulin Pan

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

The recent advancements in autonomous and remote operation of maritime vessels necessitates the development of robust and reliable communication systems to support high-bandwidth applications such as real-time monitoring, navigation, and…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Antoine Thibault Vié , Roberto Galeazzi , Dimitrios Papagergiou

We introduce a general approach to characterize composite fading models based on inverse gamma (IG) shadowing. We first determine to what extent the IG distribution is an adequate choice for modeling shadow fading, by means of a…

Information Theory · Computer Science 2024-10-30 Pablo Ramírez-Espinosa , F. Javier Lopez-Martinez

We show that the popular and general {\kappa}-{\mu} shad- owed fading model with integer fading parameters {\mu} and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in…

Information Theory · Computer Science 2024-10-30 F. Javier Lopez-Martinez , Jose F. Paris , Juan M. Romero-Jerez

This work studies the product and ratio statistics of independent and non-identically distributed (i.n.i.d) $ \alpha-\kappa - \mu $ shadowed random variables. We derive the series expression for the probability density function (PDF),…

Information Theory · Computer Science 2024-07-16 Shashank Shekhar , Sheetal Kalyani

The $\alpha$-$\eta$-$\kappa$-$\mu$ is one of the most generalized and flexible channel models having an excellent fit to experimental data from diverse propagation environments. The existing statistical results on the envelope of…

Information Theory · Computer Science 2023-06-13 Pranay Bhardwaj , Eesha Santosh Karnawat , S. M. Zafaruddin

A model of laminated wave turbulence is presented. This model consists of two co-existing layers - one with continuous waves' spectra, covered by KAM theory and Kolmogorov-like power spectra, and one with discrete waves' spectra, covered by…

Fluid Dynamics · Physics 2009-11-11 Elena Kartashova

We introduce a comprehensive statistical characterization of the multipath wireless channel built as a superposition of a number of scattered waves with random phases. We consider an arbitrary number $N$ of specular (dominant) components…

Information Theory · Computer Science 2024-10-30 Juan M. Romero-Jerez , F. Javier Lopez-Martinez , Juan P. Peña-Martin , Ali Abdi

A two-dimensional generalized hydrodynamics (GH) model is developed to study the full spectrum of both longitudinal and transverse dust acoustic waves (DAW) in strongly coupled complex (dusty) plasmas, with memory-function-formalism being…

Plasma Physics · Physics 2015-05-19 Nitin Upadhyaya , Z. L. Miskovic , L. -J. Hou

In this paper, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the ${\eta}-{\lambda}-{\mu}$, ${\alpha}-{\mu}$, ${\alpha}-{\eta}-{\mu}$,…

Information Theory · Computer Science 2017-03-14 Ehab Salahat , Ali Hakam , Nazar Ali , Ahmed Kulaib

As new wireless standards are developed, the use of higher operation frequencies comes in hand with new use cases and propagation effects that differ from the well-established state of the art. Numerous stochastic fading models have…

Signal Processing · Electrical Eng. & Systems 2024-12-16 Juan E. Galeote-Cazorla , Alejandro Ramírez-Arroyo , F. Javier Lopez-Martinez , Juan F. Valenzuela-Valdés

In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a generalisation of the random phase approximation (RPA). This…

Mathematical Physics · Physics 2007-05-23 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

An exploratory study of two-particle wave function is carried out with a four dimensional simple model. The wave functions not only for two-particle ground and first excited states but also for an unstable state are calculated from three-…

High Energy Physics - Lattice · Physics 2009-11-10 T. Yamazaki

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

In this paper, we propose efficient importance sampling estimators to evaluate the outage probability of maximum ratio combining receivers over turbulence-induced fadings in underwater wireless optical channels. We consider two fading…

Applications · Statistics 2019-09-25 Chaouki ben Issaid , Mohamed-Slim Alouini

This paper investigates the characteristics of energy detection (ED) over composite $\kappa$-$\mu$ shadowed fading channels in ultra machine-type communication (mMTC) networks. We have derived the closed-form expressions of the probability…

Signal Processing · Electrical Eng. & Systems 2025-09-01 He Huang , Zeping Sui , Zilong Liu , Wei Huang , Md. Noor-A-Rahim , Haishi Wang , Zhiheng Hu

The reliability of a vertical underwater wireless optical communication (UWOC) network is seriously impacted by turbulence-induced fading due to fluctuations in the water temperature and salinity, which vary with depth. To better assess the…

Signal Processing · Electrical Eng. & Systems 2023-08-14 Dongling Xu , Xiang Yi , Yalçn Ata , Xinyue Tao , Yuxuan Li , Peng Yue