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In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coefficient is spatially multiscale and the noise perturbation…

Numerical Analysis · Mathematics 2022-04-26 Lijian Jiang , Mengnan Li , Meng Zhao

It is envisioned that the sixth generation (6G) and beyond 6G (B6G) wireless communication networks will enable global coverage in space, air, ground, and sea. In this case, both base stations and users can be mobile and will tend to move…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Yue Yang , Cheng-Xiang Wang , Jie Huang , John Thompson , H. Vincent Poor

With the rapid deployments of 5G and 6G networks, accurate modeling of urban radio propagation has become critical for system design and network planning. However, conventional statistical or empirical models fail to fully capture the…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Junzhe Song , Ruisi He , Mi Yang , Zhengyu Zhang , Shuaiqi Gao , Xiaoying Zhang , Bo Ai

Mobility management is a major challenge for the wide-spread deployment of millimeter-wave (mmWave) cellular networks. In particular, directional beamforming in mmWave devices renders high-speed mobility support very complex. This…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Somayeh Aghashahi , Samaneh Aghashahi , Zolfa Zeinalpour-Yazdi , Aliakbar Tadaion , Arash Asadi

We consider random flights of point particles inside $n$-dimensional channels of the form $\mathbb{R}^{k} \times \mathbb{B}^{n-k}$, where $\mathbb{B}^{n-k}$ is a ball of radius $r$ in dimension $n-k$. The particle velocities immediately…

Probability · Mathematics 2018-07-02 Timothy Chumley , Renato Feres , Hong-Kun Zhang

Previous studies have confirmed the adverse impact of fading correlation on the mutual information (MI) of two-dimensional (2D) multiple-input multiple-output (MIMO) systems. More recently, the trend is to enhance the system performance by…

Information Theory · Computer Science 2016-04-21 Qurrat-Ul-Ain Nadeem , Abla Kammoun , Merouane Debbah , Mohamed-Slim Alouini

This paper develops a stochastic geometry-based approach for the modeling and analysis of finite millimeter wave (mmWave) wireless networks where a random number of transmitters and receivers are randomly located inside a finite region. We…

Information Theory · Computer Science 2018-07-30 Seyed Mohammad Azimi-Abarghouyi , Behrooz Makki , Masoumeh Nasiri-Kenari , Tommy Svensson

We introduce fractional Brownian motion processes (fBm) as an alternative model for the turbulent index of refraction. These processes allow to reconstruct most of the refractive index properties, but they are not differentiable. We…

Optics · Physics 2007-05-23 Dario G. Perez

We introduce the stochastic process of incremental multifractional Brownian motion (IMFBM), which locally behaves like fractional Brownian motion with a given local Hurst exponent and diffusivity. When these parameters change as function of…

Statistical Mechanics · Physics 2023-07-27 Jakub Slezak , Ralf Metzler

Tracking of objects in cellular environments has become a vital tool in molecular cell biology. A particularly important example is single molecule tracking which enables the study of the motion of a molecule in cellular environments and…

Quantitative Methods · Quantitative Biology 2020-02-27 Milad R. Vahid , Bernard Hanzon , Raimund J. Ober

In this work, we propose a Gaussian mixture model (GMM)-based pilot design scheme for downlink (DL) channel estimation in single- and multi-user multiple-input multiple-output (MIMO) frequency division duplex (FDD) systems. In an initial…

Information Theory · Computer Science 2024-08-08 Nurettin Turan , Benedikt Böck , Benedikt Fesl , Michael Joham , Deniz Gündüz , Wolfgang Utschick

In this paper we study the moderate deviations principle (MDP) for slow-fast stochastic dynamical systems where the slow motion is governed by small fractional Brownian motion (fBm) with Hurst parameter $H\in(1/2,1)$. We derive conditions…

Probability · Mathematics 2023-04-10 Solesne Bourguin , Thanh Dang , Konstantinos Spiliopoulos

In this thesis, branching Brownian motion (BBM) is a random particle system where the particles diffuse on the real line according to Brownian motions and branch at constant rate into a random number of particles with expectation greater…

Probability · Mathematics 2013-04-02 Pascal Maillard

This paper addresses the mobility problem in massive multiple-input multiple-output systems, which leads to significant performance losses in the practical deployment of the fifth generation mobile communication networks. We propose a novel…

Information Theory · Computer Science 2022-08-04 Weidong Li , Haifan Yin , Ziao Qin , Yandi Cao , Merouane Debbah

This paper presents a comprehensive study on the 3D positioning capabilities in distributed multiple-input multiple-output (MIMO) systems. Unlike previous studies that mainly rely on idealized isotropic antenna models, we adopt a…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Yingjie Xu , Xuesong Cai , Ali Al-Ameri , Sara Willhammar , Fredrik Tufvesson

Location awareness in wireless networks may enable many applications such as emergency services, autonomous driving and geographic routing. Although there are many available positioning techniques, none of them is adapted to work with…

Information Theory · Computer Science 2015-09-02 Vladimir Savic , Erik G. Larsson

Deep learning-based multivariate and multistep-ahead traffic forecasting models are typically trained with the mean squared error (MSE) or mean absolute error (MAE) as the loss function in a sequence-to-sequence setting, simply assuming…

Machine Learning · Computer Science 2026-01-28 Seongjin Choi , Nicolas Saunier , Vincent Zhihao Zheng , Martin Trepanier , Lijun Sun

Broad beam beamforming (BF) design in multiple-input multiple-output (MIMO) can be convenient for initial access, synchronization, and sensing capabilities in cellular networks by avoiding overheads of sweeping methods while making…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Ahmet Kaplan , Diana P. M. Osorio , Erik G. Larsson

Classical linear statistical models, like the first-order auto-regressive (AR) model, are commonly used as channel model in high-mobility scenarios. However, compared to sub-6G, the effect of Doppler frequency shifts is more significant at…

Information Theory · Computer Science 2024-08-28 Ruizhe Wang , Hong Ren , Cunhua Pan , Gui Zhou , Ruisong Weng , Jiangzhou Wang

We consider stochastic dynamics of a particle on a plane in presence of two noises and a confining parabolic potential - an analog of the experimentally-relevant Brownian Gyrator (BG) model. In contrast to the standard BG model, we suppose…

Statistical Mechanics · Physics 2025-12-16 Timothée Herbeau , Leonid Pastur , Pascal Viot , Gleb Oshanin