A multifrequency MUSIC algorithm for locating small inhomogeneities in inverse scattering
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Publication:2977560
DOI10.1088/1361-6420/aa5bf2zbMath1371.35346arXiv1607.04017OpenAlexW3105352867MaRDI QIDQ2977560
Christian Schmiedecke, Roland Griesmaier
Publication date: 18 April 2017
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04017
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Cites Work
- Unnamed Item
- On inverses of Vandermonde and confluent Vandermonde matrices
- Elliptic partial differential equations of second order
- A direct impedance tomography algorithm for locating small inhomogeneities
- Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection
- Parameter estimation for multivariate exponential sums
- How many Fourier samples are needed for real function reconstruction?
- Modeling Active Electrolocation in Weakly Electric Fish
- Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
- On the multi-frequency obstacle reconstruction via the linear sampling method
- The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
- Multi-frequency orthogonality sampling for inverse obstacle scattering problems
- Identification of small inhomogeneities: Asymptotic factorization
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Recovery of Small Inhomogeneities from the Scattering Amplitude at a Fixed Frequency
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- MUSIC for Multidimensional Spectral Estimation: Stability and Super-Resolution
- High-resolution spectral analysis of mixtures of complex exponentials modulated by polynomials
- A scattering support for broadband sparse far field measurements
- A simple method for solving inverse scattering problems in the resonance region
- Prony methods for recovery of structured functions
- Multifrequency Impedance Imaging with Multiple Signal Classification
- Solving Boundary Integral Problems with BEM++
- Towards a Mathematical Theory of Super‐resolution
- Two Numerical Methods for Recovering Small Inclusions from the Scattering Amplitude at a Fixed Frequency
- The linear sampling method and the MUSIC algorithm
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