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Fractional Brownian motion is a Gaussian stochastic process with long-range correlations in time; it has been shown to be a useful model of anomalous diffusion. Here, we investigate the effects of mutual interactions in an ensemble of…

Statistical Mechanics · Physics 2025-09-15 Jonathan House , Rashad Bakhshizada , Skirmantas Janušonis , Ralf Metzler , Thomas Vojta

Communications using frequency bands in the millimeter-wave range can play a key role in future generations of mobile networks. By allowing large bandwidth allocations, high carrier frequencies will provide high data rates to support the…

Networking and Internet Architecture · Computer Science 2017-05-08 Cristian Tatino , Ilaria Malanchini , Danish Aziz , Di Yuan

For reliable operation on urban roads, navigation using the Global Navigation Satellite System (GNSS) requires both accurately estimating the positioning detail from GNSS pseudorange measurements and determining when the estimated position…

Robotics · Computer Science 2021-10-26 Shubh Gupta , Grace X. Gao

The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present a simple, analytically tractable model which fills the gap…

This paper proposes a unified statistical channel model to characterize the atmospheric turbulence induced distortions faced by orbital angular momentum (OAM) in free space optical (FSO) communication systems. In this channel model, the…

Signal Processing · Electrical Eng. & Systems 2019-10-24 El-Mehdi Amhoud , Boon S. Ooi , Mohamed-Slim Alouini

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

This work considers a spatial non-stationary channel tracking problem in broadband extremely large-scale multiple-input-multiple-output (XL-MIMO) systems. In the case of spatial non-stationary, each scatterer has a certain visibility region…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Wenkang Xu , An Liu , Min-jian Zhao , Giuseppe Caire , Yik-Chung Wu

Multiple-input multiple-output (MIMO) systems require efficient and accurate channel estimation with low pilot overhead to unlock their full potential for high spectral and energy efficiency. While deep generative models have emerged as a…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Yongqiang Zhang , Qurrat-Ul-Ain Nadeem

The asymptotic mutual information (MI) analysis for multiple-input multiple-output (MIMO) systems over double-scattering channels has achieved engaging results, but the convergence rates of the mean, variance, and the distribution of the MI…

Information Theory · Computer Science 2023-01-18 Xin Zhang , Shenghui Song

A theoretical framework is introduced to model the dynamical changes of the state of polarization during transmission in coherent fibre-optic systems. The model generalizes the one-dimensional phase noise random walk to higher dimensions,…

Channel estimation is a critical task in multiple-input multiple-output (MIMO) digital communications that substantially effects end-to-end system performance. In this work, we introduce a novel approach for channel estimation using deep…

Signal Processing · Electrical Eng. & Systems 2022-11-09 Marius Arvinte , Jonathan I Tamir

Recently, a versatile limited feedback scheme based on a Gaussian mixture model (GMM) was proposed for frequency division duplex (FDD) systems. This scheme provides high flexibility regarding various system parameters and is applicable to…

Information Theory · Computer Science 2023-11-29 Nurettin Turan , Benedikt Fesl , Wolfgang Utschick

In this paper, we investigate finite-horizon optimal density steering problems for discrete-time stochastic linear dynamical systems whose state probability densities can be represented as Gaussian Mixture Models (GMMs). Our goal is to…

Optimization and Control · Mathematics 2025-01-07 Isin M Balci , Efstathios Bakolas

Data-driven models of robot motion constructed using principles from Geometric Mechanics have been shown to produce useful predictions of robot motion for a variety of robots. For robots with a useful number of DoF, these geometric…

Robotics · Computer Science 2025-06-19 Ruizhen Hu , Shai Revzen

Visual SLAM algorithms achieve significant improvements through the exploration of 3D Gaussian Splatting (3DGS) representations, particularly in generating high-fidelity dense maps. However, they depend on a static environment assumption…

Robotics · Computer Science 2026-04-15 Yi Liu , Haoxuan Xu , Hongbo Duan , Keyu Fan , Zhengyang Zhang , Peiyu Zhuang , Pengting Luo , Houde Liu

In this paper, stochastic channel models for massive MIMO (M-MIMO) and extreme large MIMO (XL- MIMO) system applications are described, evaluated and systematically compared. This work aims to cover new aspects of massive MIMO stochastic…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Lígia May Taniguchi , Taufik Abrão

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability…

Statistical Mechanics · Physics 2018-11-26 V. Sposini , A. V. Chechkin , F. Seno , G. Pagnini , R. Metzler

Recently, we introduced the active Dyson Brownian motion model (DBM), in which $N$ run-and-tumble particles interact via a logarithmic repulsive potential in the presence of a harmonic well. We found that in a broad range of parameters the…

Statistical Mechanics · Physics 2024-11-08 Leo Touzo , Pierre Le Doussal , Gregory Schehr

The geometry of the multifractional Brownian motion (mBm) is known to present a complex and surprising form when the Hurst function is greatly irregular. Nevertheless, most of the literature devoted to the subject considers sufficiently…

Probability · Mathematics 2014-08-05 Paul Balança

Distributed multiple-input multiple-output (D-MIMO) is a promising technology for simultaneous communication and positioning. However, phase synchronization between multiple access points in D-MIMO is challenging and methods that function…