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This paper develops a discrete data-driven approach for solving the inverse source problem of the wave equation with final time measurements. Focusing on the $L^2$-Tikhonov regularization method, we analyze its convergence under two…

Numerical Analysis · Mathematics 2026-01-01 Qiling Gu , Wenlong Zhang , Zhidong Zhang

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

Analysis of PDEs · Mathematics 2018-08-01 Ngoc Do , Leonid Kunyansky

We report a detailed and systematic study of wave propagation through a stochastic absorbing random medium. Stochastic absorption is modeled by introducing an attenuation constant per unit length $\alpha$ in the free propagation region of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

We exploit millimeter wave technology to measure the reflection and transmission response of random dielectric media. Our samples are easily constructed from random stacks of identical, sub-wavelength quartz and Teflon wafers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 John A. Scales , L. D. Carr , D. B. McIntosh , Valentin Freilikher , Yu. P. Bliokh

The problem of recovering a structured signal from its linear measurements in the presence of speckle noise is studied. This problem appears in many imaging systems such as synthetic aperture radar and optical coherence tomography. The…

Information Theory · Computer Science 2021-08-03 Wenda Zhou , Shirin Jalali , Arian Maleki

This paper addresses the challenge of audio-visual single-microphone speech separation and enhancement in the presence of real-world environmental noise. Our approach is based on generative inverse sampling, where we model clean speech and…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-03 Yochai Yemini , Yoav Ellinson , Rami Ben-Ari , Sharon Gannot , Ethan Fetaya

The steered response power (SRP) method is one of the most popular approaches for acoustic source localization with microphone arrays. It is often based on simplifying acoustic assumptions, such as an omnidirectional sound source in the far…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-10 Kaspar Müller , Markus Buck , Simon Doclo , Jan Østergaard , Tobias Wolff

Absorption measurement is an exceptionally versatile tool for many applications in science and engineering. For absorption measurements using laser beams of light, the sensitivity is theoretically limited by the shot noise due to the…

Optics · Physics 2021-04-22 Fu Li , Tian Li , Marlan O. Scully , Girish S. Agarwal

We present a new method to capture the acoustic characteristics of real-world rooms using commodity devices, and use the captured characteristics to generate similar sounding sources with virtual models. Given the captured audio and an…

Sound · Computer Science 2021-09-28 Zhenyu Tang , Nicholas J. Bryan , Dingzeyu Li , Timothy R. Langlois , Dinesh Manocha

Spatial mode demultiplexing was proved to be a successful tool for estimation of the separation between incoherent sources, allowing for sensitivity much below the Rayleigh limit. However, with the presence of measurement's noise,…

Quantum Physics · Physics 2024-07-23 Fattah Sakuldee , Łukasz Rudnicki

This paper proposes a systematic mathematical analysis of both the direct and inverse acoustic scattering problem given the source in Radon measure space. For the direct problem, we investigate the well-posedness including the existence,…

Analysis of PDEs · Mathematics 2019-12-02 Xueshuang Xiang , Hongpeng Sun

A high-precision numerical sound field is the basis of underwater target detection, positioning and communication. A line source in a plane is a common type of sound source in computational ocean acoustics. The exciting waveguide in a…

Computational Physics · Physics 2022-08-17 Houwang Tu , Yongxian Wang , Chunmei Yang , Xiaodong Wang , Shuqing Ma , Wenbin Xiao , Wei Liu

Sound-tracking refers to the process of determining the direction from which a sound originates, making it a fundamental component of sound source localization. This capability is essential in a variety of applications, including security…

Sound · Computer Science 2025-10-13 Mahdi Ali Pour , Zahra Habibzadeh

Clipping or saturation in audio signals is a very common problem in signal processing, for which, in the severe case, there is still no satisfactory solution. In such case, there is a tremendous loss of information, and traditional methods…

A method for calibrating a monopole sound source in a water tank with reflective side walls and bottom is considered. The idea of the method is based on the phenomenon of anomalous transparency of the water-air boundary for a sound source…

Atmospheric and Oceanic Physics · Physics 2026-03-17 A. L. Virovlyansky , M. S. Deryabin , A. A. Prokhorov , A. Yu. Kazarova , V. K. Bakhtin

The spatial information of sound plays a crucial role in various situations, ranging from daily activities to advanced engineering technologies. To fully utilize its potential, numerous research studies on spatial audio signal processing…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-14 Natsuki Ueno , Shoichi Koyama

With the recent advancements of data driven approaches using deep neural networks, music source separation has been formulated as an instrument-specific supervised problem. While existing deep learning models implicitly absorb the spatial…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-16 Darius Petermann , Minje Kim

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…

Numerical Analysis · Mathematics 2022-10-05 Roland Griesmaier , Hans-Georg Raumer

Wave propagation in coherently absorbing disordered media is generally modeled by adding a complex part to the real part of the potential. In such a case, it is already understood that the complex potential plays a duel role; it acts as an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Prabhakar Pradhan

A coherent perfect absorber is capable of completely absorbing input waves. However, the coherent perfect absorption severely depends on the superposition of the input waves, and the perfect absorption is sensitive to the disorder of the…

Optics · Physics 2024-04-08 H. S. Xu , L. Jin
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