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Microwave imaging is commonly based on the solution of linearized inverse scattering problems by matched filtering algorithms, i.e., by applying the adjoint of the forward scattering operator to the observation data. A more rigorous…

Image and Video Processing · Electrical Eng. & Systems 2024-12-23 Matthias M. Saurer , Han Na , Marius Brinkmann , Thomas F. Eibert

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

We investigate a time harmonic acoustic scattering problem by a penetrable inclusion with compact support embedded in the free space. We consider cases where an observer can produce incident plane waves and measure the far field pattern of…

Analysis of PDEs · Mathematics 2015-06-23 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sergei A. Nazarov

Automatic discovery and curve fitting of absorption bands in hyperspectral data can enable the analyst to identify materials present in a scene by comparison with library spectra. This procedure is common in laboratory spectra, but is…

Instrumentation and Methods for Astrophysics · Physics 2014-01-23 Adrian J. Brown

A white noise signal can access any possible configuration of values, though statistically over many samples tends to a uniform spectral distribution, and is highly unlikely to produce intelligible sound. But how unlikely? The probability…

Sound · Computer Science 2024-05-27 Nick Collins

Because anomalous samples cannot be used for training, many anomaly detection and localization methods use pre-trained networks and non-parametric modeling to estimate encoded feature distribution. However, these methods neglect the impact…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Jaehyeok Bae , Jae-Han Lee , Seyun Kim

The frequent breakdowns and malfunctions of industrial equipment have driven increasing interest in utilizing cost-effective and easy-to-deploy sensors, such as microphones, for effective condition monitoring of machinery. Microphones offer…

This article provides a thorough meta-analysis of the anomaly detection problem. To accomplish this we first identify approaches to benchmarking anomaly detection algorithms across the literature and produce a large corpus of anomaly…

Artificial Intelligence · Computer Science 2016-08-29 Andrew Emmott , Shubhomoy Das , Thomas Dietterich , Alan Fern , Weng-Keen Wong

This paper is concerned with the inverse acoustic scattering problems by an obstacle or a cavity with a sound-soft or a sound-hard boundary. A direct imaging method relying on the boundary conditions is proposed for reconstructing the shape…

Numerical Analysis · Mathematics 2022-02-21 Deyue Zhang , Yue Wu , Yinglin Wang , Yukun Guo

Multiple measurement vector (MMV) problem addresses the identification of unknown input vectors that share common sparse support. The MMV problems had been traditionally addressed either by sensor array signal processing or compressive…

Information Theory · Computer Science 2011-06-02 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

Synthetic aperture radar (SAR) tomography (TomoSAR) is an appealing tool for the extraction of height information of urban infrastructures. Due to the widespread applications of the MUSIC algorithm in source localization, it is a suitable…

Information Theory · Computer Science 2022-08-05 Ahmad Naghavi , Mohammad Sadegh Fazel , Mojtaba Beheshti , Ehsan Yazdian

This paper presents an autoencoder based unsupervised approach to identify anomaly in an industrial machine using sounds produced by the machine. The proposed framework is trained using log-melspectrogram representations of the sound…

Sound · Computer Science 2021-11-23 Arshdeep Singh , Raju Arvind , Padmanabhan Rajan

This paper considers the problem of appearance indication of useful acoustic signal in the signal/noise mixture. Various information characteristics (information entropy, Jensen-Shannon divergence, spectral information divergence and…

Methodology · Statistics 2023-04-14 Leonid Berlin , Andrey Galyaev , Pavel Lysenko

We describe a method for fitting distributions to data which only requires knowledge of the parametric form of either the signal or the background but not both. The unknown distribution is fit using a non-parametric kernel density…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Wolfgang A. Rolke , Angel M. López

Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and…

Applications · Statistics 2016-12-15 Mianzhi Wang , Arye Nehorai

The increasing digitization of medical imaging enables machine learning based improvements in detecting, visualizing and segmenting lesions, easing the workload for medical experts. However, supervised machine learning requires reliable…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Maximilian E. Tschuchnig , Michael Gadermayr

Subspace methods are essential to high-resolution environment sensing in the emerging unmanned systems, if further combined with the millimeter-wave (mm-Wave) massive multi-input multi-output (MIMO) technique. The estimation of signal/noise…

Signal Processing · Electrical Eng. & Systems 2021-01-13 Li Bin , Wang Shuseng , Zhang Jun , Cao Xianbin , Zhao Chenglin

The identification and quantification of markers in medical images is critical for diagnosis, prognosis and management of patients in clinical practice. Supervised- or weakly supervised training enables the detection of findings that are…

In this paper, we consider two time-harmonic inverse scattering problems of reconstructing penetrable inhomogeneous obstacles from near field measurements. First we appeal to the Born approximation for reconstructing small isotropic…

Analysis of PDEs · Mathematics 2017-01-18 Isaac Harris , Scott Rome

We propose an efficient algorithm for reconstructing one-dimensional wide-band line spectra from their Fourier data in a bounded interval $[-\Omega,\Omega]$. While traditional subspace methods such as MUSIC achieve super-resolution for…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Zetao Fei , Hai Zhang
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