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This article focuses on estimating relative transfer functions (RTFs) for beamforming applications. Traditional methods often assume that spectra are uncorrelated, an assumption that is often violated in practical scenarios due to factors…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-18 Giovanni Bologni , Richard C. Hendriks , Richard Heusdens

We derive semiclassical approximations for wavefunctions, Green's functions and expectation values for classically chaotic quantum systems. Our method consists of applying singular and regular perturbations to quantum Hamiltonians. The…

Chaotic Dynamics · Physics 2010-03-09 Martin Sieber

We consider a two-dimensional diffusion process in a two-layered plane, governed by distinct covariance matrices in the upper and lower half-planes and by two drift vectors pointed away from the $x$-axis. We first analyze the case where the…

Probability · Mathematics 2025-12-11 Sandro Franceschi , Irina Kourkova , Maxence Petit

The discretisation of boundary integral equations for the scalar Helmholtz equation leads to large dense linear systems. Efficient boundary element methods (BEM), such as the fast multipole method (FMM) and $\Hmat$ based methods, focus on…

Numerical Analysis · Mathematics 2022-05-04 Simon Dirckx , Daan Huybrechs , Karl Meerbergen

We study, theoretically and numerically, a minimal model for phonons in a disordered system. For sufficient disorder, the vibrational modes of this classical system can become Anderson localized, yet this problem has received significantly…

Disordered Systems and Neural Networks · Physics 2013-06-26 Ariel Amir , Jacob J. Krich , Vincenzo Vitelli , Yuval Oreg , Yoseph Imry

In the field of structural health monitoring (SHM), the acquisition of acoustic emissions to localise damage sources has emerged as a popular approach. Despite recent advances, the task of locating damage within composite materials and…

Machine Learning · Computer Science 2020-12-22 Matthew R. Jones , Tim J. Rogers , Keith Worden , Elizabeth J. Cross

The acoustic radiation force exerted on a small sphere located at the focus of an ultrasonic beam is measured in a soft gel. It is proved to evolve quadratically with the local amplitude of the acoustic field. Strong oscillations of the…

Soft Condensed Matter · Physics 2017-06-28 Pierre Lidon , Louis Villa , Nicolas Taberlet , Sébastien Manneville

Studying the problem of wave propagation in media with resistive boundaries can be made by searching for "resonance modes" or free oscillations regimes. In the present article, a simple case is investigated, which allows one to enlighten…

Classical Physics · Physics 2007-05-23 Jean Kergomard , Vincent Debut , Denis Matignon

A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative…

Beamforming techniques are utilized in millimeter wave (mmWave) communication to address the inherent path loss limitation, thereby establishing and maintaining reliable connections. However, adopting standard defined beamforming approach…

Networking and Internet Architecture · Computer Science 2025-09-16 Muhammad Baqer Mollah , Honggang Wang , Hua Fang

Modern mechanical sensors increasingly measure motion with precision sufficient to resolve the fundamental thermal noise floor over a broad band. Compared to traditional sensors -- achieving this limit only near resonance -- this capability…

Optics · Physics 2025-10-23 Jiaxing Ma , Thomas J. Clark , Vincent Dumont , Jack C. Sankey

At high pressure electric discharges typically grow as thin, elongated filaments. In a numerical simulation this large aspect ratio should ideally translate into a narrow, cylindrical computational domain that envelops the discharge as…

Plasma Physics · Physics 2018-02-20 Alejandro Malagón-Romero , Alejandro Luque

This work reports the conditions under which weak scattering assumptions can be applied in a beam loaded by multiple resonators supporting both longitudinal and flexural waves. The work derives the equations of motion of a one-dimensional…

Applied Physics · Physics 2024-10-02 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

In this paper, we propose a new analytic continuation method to extract real frequency spectral functions from imaginary frequency Green's functions of quantum many-body systems. This method is based on the pole representation of Matsubara…

Strongly Correlated Electrons · Physics 2024-05-15 Li Huang , Shuang Liang

We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Nakul Singh , Coleman DeLude , Mark A. Davenport , Justin Romberg

The one dimensional wave equation serves as a basic model for imaging modalities such as seismic which utilize acoustic data reflected back from a layered medium. In 1955 Peterson et al. described a single scattering approximation for the…

Analysis of PDEs · Mathematics 2018-02-02 Peter C. Gibson

We consider the problem of seismic velocity change estimation using ambient noise recordings. Motivated by [23] we study how the velocity change estimation is affected by seasonal fluctuations in the noise sources. More precisely, we…

Geophysics · Physics 2016-05-04 E. Daskalakis , C. P. Evangelidis , J. Garnier , N. S. Melis , G. Papanicolaou , C. Tsogka

A method is presented for the reconstruction of rotating monopole source distributions using acoustic pressures measured on a sideline parallel to the source axis. The method requires no \textit{a priori} assumptions about the source other…

Fluid Dynamics · Physics 2009-11-13 Michael Carley

In multi input multi output antenna systems, beamforming is a technique for guarding against the negative effects of fading. However, this technique requires the transmitter to have perfect knowledge of the channel which is often not…

Other Computer Science · Computer Science 2011-05-03 Najoua Achoura And Ridha Bouallegue

Many stochastic processes in the physical and biological sciences can be modelled as Brownian dynamics with multiplicative noise. However, numerical integrators for these processes can lose accuracy or even fail to converge when the…

Numerical Analysis · Mathematics 2024-04-22 Dominic Phillips , Charles Matthews , Benedict Leimkuhler