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In this article a topological sensitivity framework for far field detection of a diametrically small electromagnetic inclusion is established. The cases of single and multiple measurements of the electric far field scattering amplitude at a…

Numerical Analysis · Mathematics 2017-03-10 Abdul Wahab , Tasawar Abbas , Naveed Ahmed , Qazi Muhammad Zaigham Zia

Motivated by collaborative localization in robotic sensor networks, we consider the problem of large-scale network localization where location estimates are derived from inter-node radio signals. Well-established methods for network…

Signal Processing · Electrical Eng. & Systems 2023-01-30 Lillian Clark , Sampad Mohanty , Bhaskar Krishnamachari

In this paper, we investigate methods for interference location in satellite communication system using satellite multi-beam antenna with subspace based schemes. A novel MUSIC based approach is proposed for estimating the direction of…

Information Theory · Computer Science 2014-10-02 Ramoni Adeogun

Localization of radio frequency sources over multipath channels is a difficult problem arising in applications such as outdoor or indoor gelocation. Common approaches that combine ad-hoc methods for multipath mitigation with indirect…

Information Theory · Computer Science 2015-05-14 Nil Garcia , Alexander M. Haimovich , Martial Coulon , Jason A. Dabin

This paper proposes a data-driven algorithm of locating the source of forced oscillations and suggests the physical interpretation of the method. By leveraging the sparsity of the forced oscillation sources along with the low-rank nature of…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Tong Huang , Nikolaos M. Freris , P. R. Kumar , Le Xie

This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

Systems and Control · Computer Science 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

Accurate and ubiquitous localization is crucial for a variety of applications such as logistics, navigation, intelligent transport, monitoring, control, and also for the benefit of communications. Exploiting millimeter-wave (mmWave) signals…

Signal Processing · Electrical Eng. & Systems 2022-12-02 Mohammad A. Nazari , Gonzalo Seco-Granados , Pontus Johannisson , Henk Wymeersch

Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of…

Numerical Analysis · Mathematics 2015-09-09 Eric T. Chung , Wing Tat Leung

We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' locations and intensities from far field measurements can be…

Numerical Analysis · Mathematics 2024-07-25 Giovanni S. Alberti , Romain Petit , Matteo Santacesaria

We present Frequency Marching, FM, an algorithm that refines three-dimensional electron density distributions from solution X-ray scattering data in both the small- and wide-angle regimes. This algorithm is based on a series of optimization…

Biological Physics · Physics 2020-12-25 Yen-Lin Chen , Lois Pollack

We pursue a low-wavenumber, second-order homogenized solution of the time-harmonic wave equation at both low and high frequency in periodic media with a source term whose frequency resides inside a band gap. Considering the wave motion in…

Analysis of PDEs · Mathematics 2021-02-23 Shixu Meng , Othman Oudghiri-Idrissi , Bojan B. Guzina

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

Analysis of PDEs · Mathematics 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

Guided ultrasonic wave localization uses spatially distributed multistatic sensor arrays and generalized beamforming strategies to detect and locate damage across a structure. The propagation channel is often very complex. Methods can…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Ishan D. Khurjekar , Joel B. Harley

Accurate localization in Orthogonal Frequency Division Multiplexing (OFDM)-based massive Multiple-Input Multiple-Output (MIMO) systems depends critically on phase coherence across subcarriers and antennas. However, practical systems suffer…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Qing Zhang , Adham Sakhnini , Robbert Beerten , Haoqiu Xiong , Zhuangzhuang Cui , Yang Miao , Sofie Pollin

We consider the problem of imaging a crack network embedded in some homogeneous background from measured multi-static far field data generated by acoustic plane waves. We propose two novel approaches that can be seen as extensions of linear…

Analysis of PDEs · Mathematics 2020-06-19 Lorenzo Audibert , Lucas Chesnel , Houssem Haddar , Kevish Napal

In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous inversion techniques for multiscale problems seek a…

Numerical Analysis · Mathematics 2017-07-27 Eric T. Chung , Yalchin Efendiev , Bangti Jin , Wing Tat Leung , Maria Vasilyeva

We propose a kernel-spectral embedding algorithm for learning low-dimensional nonlinear structures from high-dimensional and noisy observations, where the datasets are assumed to be sampled from an intrinsically low-dimensional manifold and…

Machine Learning · Statistics 2023-07-07 Xiucai Ding , Rong Ma

This article deals with the fusion of flaw detections from multi-sensor nondestructive materials testing. Because each testing method makes use of different physical effects for defect localization, a multi-method approach is promising to…

Computational Engineering, Finance, and Science · Computer Science 2015-07-01 René Heideklang , Parisa Shokouhi

In this paper, we provide a mathematical model for the electrolocation in weakly electric fishes. We first investigate the forward complex conductivity problem and derive the approximate boundary conditions on the skin of the fish. Then we…

Analysis of PDEs · Mathematics 2013-03-07 Habib Ammari , Thomas Boulier , Josselin Garnier
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