Correlation based passive imaging with a white noise source

DOI10.1016/j.matpur.2018.05.001zbMath1401.35343arXiv1609.08022OpenAlexW2963167431WikidataQ129740668 ScholiaQ129740668MaRDI QIDQ1653063

Tapio Helin, Teemu Saksala, Lauri Oksanen, Matti Lassas

Publication date: 17 July 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08022

zbMATH Keywords

correlationwave equationinverse problemRiemannian manifoldLaplace-Beltrami operatorwhite noisepassive imaging

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Geodesics in global differential geometry (53C22) Integral geometry (53C65) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (15)

Reconstruction and stability in Gelfand's inverse interior spectral problem ⋮ Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation ⋮ An inverse problem for fractional connection Laplacians ⋮ Gelfand's inverse problem for the graph Laplacian ⋮ Inverse problems for heat equation and space-time fractional diffusion equation with one measurement ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Inverse Problems for Discrete Heat Equations and Random Walks for a Class of Graphs ⋮ Sampling linear inverse problems with noise ⋮ On inverse problems for a strongly damped wave equation on compact manifolds ⋮ An inverse spectral problem for a fractional Schrödinger operator ⋮ Correlation imaging in inverse scattering is tomography on probability distributions ⋮ Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging ⋮ Determining a Random Schrödinger Equation with Unknown Source and Potential ⋮ Passive Communication with Ambient Noise ⋮ An inverse random source problem in a stochastic fractional diffusion equation

Cites Work

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• Inverse problem for the wave equation with a white noise source
• Resolution enhancement from scattering in passive sensor imaging with cross correlations
• A global uniqueness theorem for an inverse boundary value problem
• Numerical recovering of a density by the BC-method
• Solving an inverse problem for the wave equation by using a minimization algorithm and time-reversed measurements
• Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Inverse scattering problem for a two dimensional random potential
• Inverse spectral problems on a closed manifold
• The non-linear stochastic wave equation in high dimensions
• Reconstructions from boundary measurements
• A stochastic wave equation in two space dimensions: smoothness of the law
• Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
• Local energy decay of solutions to the wave equation for nontrapping metrics
• Direct methods of solving multidimensional inverse hyperbolic problems.
• Partial differential equations. 1: Basic theory
• An inverse problem for the wave equation with one measurement and the pseudorandom source
• Forward and inverse scattering on manifolds with asymptotically cylindrical ends
• Passive Imaging with Ambient Noise
• On the Construction of Virtual Interior Point Source Travel Time Distances from the Hyperbolic Neumann-to-Dirichlet Map
• Passive synthetic aperture imaging with limited noise sources
• Signal-to-Noise Ratio Estimation in Passive Correlation-Based Imaging
• Passive Sensor Imaging Using Cross Correlations of Noisy Signals in a Scattering Medium
• Estimating a Green's Function from “Field-Field” Correlations in a Random Medium
• A Lipschitz stable reconstruction formula for the inverse problem for the wave equation
• Passive Synthetic Aperture Imaging
• Semiclassical analysis and passive imaging
• To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
• On the small balls problem for equivalent Gaussian measures
• Dynamical variant of the BC-method: theory and numerical testing
• Time Reversal and Refocusing in Random Media
• Theory and applications of time reversal and interferometric imaging
• Imaging and time reversal in random media
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• Retrieval of a Green's Function with Reflections from Partly Coherent Waves Generated by a Wave Packet Using Cross Correlations
• Riemannian Geometry
• Identification of Green's functions singularities by cross correlation of noisy signals
• Regularization strategy for an inverse problem for a 1 + 1 dimensional wave equation
• Produits tensoriels topologiques et espaces nucléaires
• Riemannian geometry.

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