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A time-domain numerical code based on the constitutive relations of nonlinear acoustics for simulating ultrasound propagation is presented. To model frequency power law attenuation, such as observed in biological media, multiple relaxation…

This paper describes how to propagate wavefields for arbitrary numbers of traditional time steps in a single step, called a superstep. We show how to construct operators that accomplish this task for finite-difference time domain schemes,…

In audio signal processing, probabilistic time-frequency models have many benefits over their non-probabilistic counterparts. They adapt to the incoming signal, quantify uncertainty, and measure correlation between the signal's amplitude…

信号处理 · 电气工程与系统科学 2019-02-13 William J. Wilkinson , Michael Riis Andersen , Joshua D. Reiss , Dan Stowell , Arno Solin

As a highly expressive generative model, diffusion models have demonstrated exceptional success across various domains, including image generation, natural language processing, and combinatorial optimization. However, as data distributions…

机器学习 · 计算机科学 2025-10-27 Myunsoo Kim , Donghyeon Ki , Seong-Woong Shim , Byung-Jun Lee

Of primary interest in this paper is the numerical approximation of a time dependent fractional, in space, diffusion equation where the domain is assumed to be nonhomogeneous, having different axial diffusion coefficients. This work is…

数值分析 · 数学 2026-05-12 T. Catoe , V. J. Ervin

The numerical simulation of acoustic waves in complex 3D media is a key topic in many branches of science, from exploration geophysics to non-destructive testing and medical imaging. With the drastic increase in computing capabilities this…

计算物理 · 物理学 2016-12-21 Alexis Bottero , Paul Cristini , Dimitri Komatitsch , Mark Asch

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

数值分析 · 数学 2024-03-11 Dietmar Gallistl , Roland Maier

Passive acoustic mapping enables the spatial mapping and temporal monitoring of cavitation activity, playing a crucial role in therapeutic ultrasound applications. Most conventional beamforming methods, whether implemented in the time or…

信号处理 · 电气工程与系统科学 2025-11-26 Tatiana Gelvez-Barrera , Barbara Nicolas , Denis Kouamé , Bruno Gilles , Adrian Basarab

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

信号处理 · 电气工程与系统科学 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

Traditional sound diffusers are quasi-random phase gratings attached to reflecting surfaces whose purpose is to augment the spatiotemporal incoherence of the acoustic field scattered from reflective surfaces. This configuration allows one…

应用物理 · 物理学 2022-11-23 Janghoon Kang , Michael R. Haberman

Recently, frequency domain all-neural beamforming methods have achieved remarkable progress for multichannel speech separation. In parallel, the integration of time domain network structure and beamforming also gains significant attention.…

声音 · 计算机科学 2022-12-27 Rongzhi Gu , Shi-Xiong Zhang , Yuexian Zou , Dong Yu

An alternative approach to ultrasound computed tomography (USCT) for medical imaging is proposed, with the intent to (i) shorten acquisition time for devices with a large number of emitters, (ii) eliminate the calibration step, and (iii)…

医学物理 · 物理学 2022-01-25 Ines Elisa Ulrich , Christian Boehm , Andrea Zunino , Cyrill Bösch , Andreas Fichtner

Medical ultrasound imaging is the most widespread real-time non-invasive imaging system and its formulation comprises signal transmission, signal reception, and image formation. Ultrasound signal transmission modelling has been formalized…

数值分析 · 数学 2023-08-09 Chiara Razzetta , Valentina Candiani , Marco Crocco , Federico Benvenuto

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

应用统计 · 统计学 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Data-driven modeling of complex physical systems is receiving a growing amount of attention in the simulation and machine learning communities. Since most physical simulations are based on compute-intensive, iterative implementations of…

声音 · 计算机科学 2024-03-20 Martin Spitznagel , Janis Keuper

This paper describes a model for nonlinear acoustic wave propagation through absorbing and weakly dispersive media, and its numerical solution by means of finite differences in time domain method (FDTD). The attenuation is based on multiple…

The short-time Fourier transform (STFT) represents a window of audio samples as a set of complex coefficients. These are advantageously viewed as magnitudes and phases and the overall distribution of phases is very often assumed to be…

音频与语音处理 · 电气工程与系统科学 2024-09-16 Stephen D. Voran

Homogenization of a thin micro-structure yields effective jump conditions that incorporate the geometrical features of the scatterers. These jump conditions apply across a thin but nonzero thickness interface whose interior is disregarded.…

计算物理 · 物理学 2017-03-08 Bruno Lombard , Agnes Maurel , Jean-Jacques Marigo

Consider the scattering of an acoustic plane wave by a bounded elastic obstacle which is immersed in an open space filled with a homogeneous medium. This paper concerns the mathematical analysis of the coupled two- and three-dimensional…

偏微分方程分析 · 数学 2018-12-03 Peijun Li , Lei Zhang

The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from partial aperture boundary measurements, the presence and…

数值分析 · 数学 2020-10-28 Franck Assous , Moshe Lin
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