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Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside the object. In the standard PAT measurement setup, the used…

Analysis of PDEs · Mathematics 2021-12-07 Linh V. Nguyen , Markus Haltmeier , Richard Kowar , Ngoc Do

In this paper three different scenarios in wide band spectrum sensing have been studied. While the signal and noise statistics are supposed to be unspecified, random matrixes have been utilized in order to estimate the noise variance. These…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Sajjad Imani , Amin Banitalebi-Dehkordi , Mehdi Cheraghi

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

Hyperspectral unmixing aims at decomposing a given signal into its spectral signatures and its associated fractional abundances. To improve the accuracy of this decomposition, algorithms have included different assumptions depending on the…

Principal component analysis is a statistical method, which lowers the number of important variables in a data set. The use of this method for the bursts' spectra and afterglows is discussed in this paper. The analysis indicates that three…

Astrophysics · Physics 2015-05-13 Z. Bagoly , I. Horvath , L. G. Balazs , L. Borgonovo , S. Larsson , A. Meszaros , F. Ryde

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

Raman spectra obtained by the inelastic scattering of light by crystalline solids contain contributions from first-order vibrational processes (e.g. the emission or absorption of one phonon, a quantum of vibration) as well as higher-order…

Materials Science · Physics 2017-08-22 Yannick Gillet , Stefan Kontur , Matteo Giantomassi , Claudia Draxl , Xavier Gonze

We report the realization of a matter-wave interferometer based on Raman transitions which simultaneously interrogates two different atomic species ($^{87}$Rb and $^{85}$Rb). The simultaneous aspect of our experiment presents encouraging…

Atomic Physics · Physics 2013-10-30 A. Bonnin , N. Zahzam , Y. Bidel , A. Bresson

We propose a set of experiments in which Ramsey-fringe techniques are tailored to probe transitions originating and terminating on the same ground state level. When pulses of resonant radiation, separated by a time delay $% T, $ interact…

Atomic Physics · Physics 2007-05-23 Tycho Sleator , Paul R. Berman , Boris Dubetsky

This paper develops a high-accuracy algorithm for time fractional wave problems, which employs a spectral method in the temporal discretization and a finite element method in the spatial discretization. Moreover, stability and convergence…

Numerical Analysis · Mathematics 2017-08-10 Binjie Li , Hao Luo , Xiaoping Xie

Raman spectroscopy is a promising tool for microbial identification, yet its implementation in microbiology and clinical workflow is still restricted due to the accompanying additional preparation required to focus on microbial signals.…

Quantitative Methods · Quantitative Biology 2026-03-19 Jeong Hee Kim , Jia Dong , Marissa Morales , Loza Tadesse

Raman phonons are quantized molecular motions that arise from the inelastic scattering of light and mediate a wide range of spectroscopic and nonlinear optical phenomena. These can play a major role in frequency-conversion processes, but…

Optics · Physics 2026-05-01 Yi-Hao Chen , Frank Wise

High-gain resonant nonlinear Raman scattering on trapped cold atoms within a high-fineness ring optical cavity is simply explained under a nonlinear opto-mechanical mechanism, and a proposal using it to detect frequency of micro-trap on…

Atomic Physics · Physics 2014-03-24 Lin Zhang

Raman scattering is a chemically selective probing mechanism with diverse applications in industry and clinical settings. Yet, most samples are optically opaque limiting the applicability of Raman probing at depth. Here, we demonstrate…

Brillouin and Raman scattering spectroscopy are established techniques for the nondestructive contactless and label-free readout of mechanical, chemical and structural properties of condensed matter. Brillouin-Raman investigations currently…

When no arterial input function is available, quantification of dynamic PET images requires a previous step devoted to the extraction of a reference time-activity curve (TAC). Factor analysis is often applied for this purpose. This paper…

Image and Video Processing · Electrical Eng. & Systems 2020-11-23 Yanna Cruz Cavalcanti , Thomas Oberlin , Vinicius Ferraris , Nicolas Dobigeon , Maria Ribeiro , Clovis Tauber

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

The time-frequency map (TFM) is frequently used in condition monitoring, necessitating further processing to select an informative frequency band (IFB) or directly detect damage. However, selecting an IFB is challenging due to the…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Anna Michalak , Justyna Hebda-Sobkowicz , Anil Kumar , Radoslaw Zimroz , Rafal Zdunek , Agnieszka Wylomanska

In this paper, we consider the nonstationary matrix-valued time series with common stochastic trends. Unlike the traditional factor analysis which flattens matrix observations into vectors, we adopt a matrix factor model in order to fully…

Econometrics · Economics 2025-08-25 Degui Li , Yayi Yan , Qiwei Yao

We present a spectral method for one-sided linear fractional integral equations on a closed interval that achieves exponentially fast convergence for a variety of equations, including ones with irrational order, multiple fractional orders,…

Numerical Analysis · Mathematics 2024-04-10 Tianyi Pu , Marco Fasondini