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相关论文: The high resolution sampling methods for acoustic …

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We study the problem of super-resolving a superposition of point sources from noisy low-pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate the elements of the support with high precision as long as…

信息论 · 计算机科学 2013-06-03 Carlos Fernandez-Granda

In this paper, we introduce a frequency-domain approach to extract information on the trajectory of a moving point source. The method hinges on the analysis of multi-frequency near-field data recorded at one and sparse observation points in…

数值分析 · 数学 2025-08-25 Guanqiu Ma , Hongxia Guo , Guanghui Hu

We propose an algorithm for the blind separation of single-channel audio signals. It is based on a parametric model that describes the spectral properties of the sounds of musical instruments independently of pitch. We develop a novel…

音频与语音处理 · 电气工程与系统科学 2021-02-03 Sören Schulze , Emily J. King

The inverse acoustic scattering problems using multi-frequency backscattering far field patterns at isolated directions are studied. The underlying object could be point like scatterers, small scatterers, extended inhomogeneities and…

偏微分方程分析 · 数学 2019-10-18 Xia Ji , Xiaodong Liu

The linear inverse source and scattering problems are studied from the perspective of compressed sensing, in particular the idea that sufficient incoherence and sparsity guarantee uniqueness of the solution. By introducing the sensor as…

数据分析、统计与概率 · 物理学 2009-05-19 Albert Fannjiang , Pengchong Yan , Thomas Strohmer

In this letter, a fast Fourier transform (FFT)-enhanced low-complexity super-resolution sensing algorithm for near-field source localization with both angle and range estimation is proposed. Most traditional near-field source localization…

信号处理 · 电气工程与系统科学 2024-11-26 Yuxiao Wu , Huizhi Wang , Yong Zeng

We focus on coherent direction of arrival estimation of wideband sources based on spatial sparsity. This area of research is encountered in many applications such as passive radar, sonar, mining, and communication problems, in which an…

信号处理 · 电气工程与系统科学 2024-01-18 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahaei

We consider the inverse cracks scattering problems from the far field patterns with a fixed incident direction. We firstly show that the sound-soft cracks can be uniquely determined by the multi-frequency far field patterns with a fixed…

偏微分方程分析 · 数学 2024-06-21 Jialei Li , Xiaodong Liu

This paper presents a method for reconstructing an acoustic source located in a two-layered medium from multi-frequency phased or phaseless far-field patterns measured on the upper hemisphere. The interface between the two media is assumed…

数值分析 · 数学 2024-12-10 Yan Chang , Yukun Guo , Yue Zhao

Qualitative methods such as the linear sampling method and the factorization method reconstruct acoustic scatterers through sampling indicators. In practice, these indicators are gray-scale fields on a prescribed sampling window and a…

数值分析 · 数学 2026-05-21 Xiaomei Yang , Jiaying Jia , Zhiliang Deng

Beamforming is an imaging tool for the investigation of aeroacoustic phenomena and results in high dimensional data that is broken down to spectra by integrating spatial Regions Of Interest. This paper presents two methods that enable the…

声音 · 计算机科学 2021-09-29 Armin Goudarzi , Carsten Spehr , Steffen Herbold

We propose a deterministic-statistical method for an inverse source problem using multiple frequency limited aperture far field data. The direct sampling method is used to obtain a disc such that it contains the compact support of the…

数值分析 · 数学 2022-09-20 Yanfang Liu , Zhizhang Wu , Jiguang Sun , Zhiwen Zhang

This paper presents an Expert Decision Support System for the identification of time-invariant, aeroacoustic source types. The system comprises two steps: first, acoustic properties are calculated based on spectral and spatial information.…

声音 · 计算机科学 2022-03-09 Armin Goudarzi , Carsten Spehr , Steffen Herbold

This work examines a semi-blind single-channel source separation problem. Our specific aim is to separate one source whose local structure is approximately known, from another a priori unspecified background source, given only a single…

声音 · 计算机科学 2015-01-27 Sirisha Rambhatla , Jarvis D. Haupt

We consider the inverse scattering problem for inhomogeneous media of compact support governed by the fractional s-Helmholtz equation, with $0<s<1$, in dimensions $d=1,2,3$. In particular, we study the determination of the support of the…

偏微分方程分析 · 数学 2026-04-30 Dana Zilberberg

A collaborative framework for detecting the different sources in mixed signals is presented in this paper. The approach is based on C-HiLasso, a convex collaborative hierarchical sparse model, and proceeds as follows. First, we build a…

计算机视觉与模式识别 · 计算机科学 2010-10-26 Pablo Sprechmann , Ignacio Ramirez , Pablo Cancela , Guillermo Sapiro

Recovering a sparse signal from its low-pass projections in the Fourier domain is a problem of broad interest in science and engineering and is commonly referred to as super-resolution. In many cases, however, Fourier domain may not be the…

信息论 · 计算机科学 2019-02-20 Ayush Bhandari , Yonina C. Eldar

This paper is concerned with uniqueness in inverse acoustic scattering with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

偏微分方程分析 · 数学 2017-09-26 Xiaoxu Xu , Bo Zhang , Haiwen Zhang

In single-molecule microscopy it is necessary to locate with high precision point sources from noisy observations of the spectrum of the signal at frequencies capped by $f_c$, which is just about the frequency of natural light. This paper…

信息论 · 计算机科学 2015-04-06 Veniamin I. Morgenshtern , Emmanuel J. Candes

In super-resolution it is necessary to locate with high precision point sources from noisy observations of the spectrum of the signal at low frequencies capped by f_c. In the case when the point sources are positive and are located on a…

信息论 · 计算机科学 2020-05-15 Veniamin I. Morgenshtern