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The problem of recovering acoustic sources, more specifically monopoles, from point-wise measurements of the corresponding acoustic pressure at a limited number of frequencies is addressed. To this purpose, a family of sparse optimization…

最优化与控制 · 数学 2021-03-30 Konstantin Pieper , Bao Quoc Tang , Philip Trautmann , Daniel Walter

The problem of mixed signals occurs in many different contexts; one of the most familiar being acoustics. The forward problem in acoustics consists of finding the sound pressure levels at various detectors resulting from sound signals…

数据分析、统计与概率 · 物理学 2007-05-23 Kevin H. Knuth

We consider the problem of identifying the acoustic impedance of a wall surface from noisy pressure measurements in a closed room using a Bayesian approach. The room acoustics is modeled by the interior Helmholtz equation with impedance…

数值分析 · 数学 2024-12-17 Nick Wulbusch , Reinhild Roden , Matthias Blau , Alexey Chernov

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

数值分析 · 数学 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

Experimental aeroacoustics is concerned with the estimation of acoustic source power distributions, which are for instance caused by fluid structure interactions on scaled aircraft models inside a wind tunnel, from microphone array…

数值分析 · 数学 2022-10-05 Roland Griesmaier , Hans-Georg Raumer

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…

机器学习 · 计算机科学 2020-12-22 Matthew R. Jones , Tim J. Rogers , Keith Worden , Elizabeth J. Cross

The identification of sound sources is a common problem in acoustics. Different parameters are sought, among these are signal and position of the sources. We present an adjoint-based approach for sound source identification, which employs…

声音 · 计算机科学 2023-01-23 Mathias Lemke , Lewin Stein

Hybrid aeroacoustic methods seek for computational efficiency and robust noise prediction. Using already existing aeroacoustic wave equations, we propose a general hybrid aeroacoustic method, based on compressible source data. The main…

流体动力学 · 物理学 2020-06-08 Stefan Schoder , Manfred Kaltenbacher

This work is dedicated to uniqueness and numerical algorithms for determining the point sources of the biharmonic wave equation using scattered fields at sparse sensors. We first show that the point sources in both $\mathbb{R}^2$ and…

偏微分方程分析 · 数学 2025-03-11 Xiaodong Liu , Qingxiang Shi , Jing Wang

We consider the Bayesian approach to the inverse problem of recovering the shape of an object from measurements of its scattered acoustic field. Working in the time-harmonic setting, we focus on a Helmholtz transmission problem and then…

偏微分方程分析 · 数学 2024-10-31 Safiere Kuijpers , Laura Scarabosio

We consider the acoustic source imaging problems using multiple frequency data. Using the data of one observation direction/point, we prove that some information (size and location) of the source support can be recovered. A non-iterative…

偏微分方程分析 · 数学 2017-12-08 Ala Alzaalig , Guanghui Hu , Xiaodong Liu , Jiguang Sun

The reconstruction of the unknown acoustic source is studied using the noisy multiple frequency data on a remote closed surface. Assume that the unknown source is coded in a spatial dependent piecewise constant function, whose support set…

数值分析 · 数学 2019-07-23 Zhiliang Deng , Xiaomei Yang , Jiangfeng Huang

This work is concerned with the inverse source problem of locating multiple multipolar sources from boundary measurements for the Helmholtz equation. We develop simple and effective sampling schemes for location acquisition of the sources…

偏微分方程分析 · 数学 2018-01-18 Deyue Zhang , Yukun Guo , Jingzhi Li , Hongyu Liu

This paper is concerned with an inverse random source problem for the one-dimensional stochastic Helmholtz equation with attenuation. The source is assumed to be a microlocally isotropic Gaussian random field with its covariance operator…

数值分析 · 数学 2020-09-30 Peijun Li , Xu Wang

This paper is concerned with the mathematical analysis of experimental methods for the estimation of the power of an uncorrelated, extended aeroacoustic source from measurements of correlations of pressure fluctuations. We formulate a…

数值分析 · 数学 2020-04-21 Thorsten Hohage , Hans-Georg Raumer , Carsten Spehr

Estimating the sound absorption in situ relies on accurately describing the measured sound field. Evidence suggests that modeling the reflection of impinging spherical waves is important, especially for compact measurement systems. This…

音频与语音处理 · 电气工程与系统科学 2024-04-18 Eric Brandao , William Fonseca , Paulo Mareze , Carlos Resende , Gabriel Azzuz , Joao Pontalti , Efren Fernandez-Grande

A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically. The numerical precision of this approach is illustrated…

计算物理 · 物理学 2019-10-02 Q. Sun , E. Klaseboer , B. C. Khoo , D. Y. C. Chan

In a sensor network with remote sensor devices, it is important to have a method that can accurately localize a sound event with a small amount of data transmitted from the sensors. In this paper, we propose a novel method for localization…

声音 · 计算机科学 2013-03-01 Hong Jiang , Boyd Mathews , Paul Wilford

The paper is concerned with an inverse point source problem for the Helmholtz equation. It consists of recovering the locations and amplitudes of a finite number of radiative point sources inside a given inhomogeneous medium from the…

偏微分方程分析 · 数学 2021-09-01 Gang Bao , Yuantong Liu , Faouzi Triki

The Helmholtz equation has been used for modelling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation can quickly become unfeasible if one wants to study many…

机器学习 · 计算机科学 2021-11-10 Klas Pettersson , Andrey Karzhou , Irina Pettersson
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