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Waves in Random and Complex Media Volume 22, 2012 - Issue 1: Imaging in Complex Media
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Original Articles

A statistical approach to target detection and localization in the presence of noise

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d'Ulm, 75005 Paris, France
,
Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, FranceCorrespondence[email protected]
&
Knut Sølna Department of Mathematics, University of California, Irvine, CA 92697, USA
Pages 40-65 | Received 01 Jul 2010, Accepted 13 Oct 2010, Published online: 10 Mar 2011

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Octavio Cabrera & Damián H. Zanette. (2020) Functional integral approach to the transfer function of a stochastic scattering channel. Waves in Random and Complex Media 30:4, pages 722-737.
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Majid Pourahmadi, Mansor Nakhkash & Ali Akbar Tadaion. (2013) Improving the spectral resolution for closely spaced targets based on MUSIC algorithm. Inverse Problems in Science and Engineering 21:7, pages 1219-1238.
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Akira Ishimaru, Ce Zhang, M. Stoneback & Yasuo Kuga. (2013) Time-reversal imaging of objects near rough surfaces based on surface flattening transform. Waves in Random and Complex Media 23:3, pages 306-317.
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Articles from other publishers (28)

Etienne Gay, Luc Bonnet, Christophe Peyret, Éric Savin & Josselin Garnier. (2021) Coherent interferometric imaging in a random flow. Journal of Sound and Vibration 494, pages 115852.
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Josselin Garnier. (2020) Low-frequency source imaging in an acoustic waveguide. Inverse Problems 36:11, pages 115004.
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Won-Kwang Park. (2020) Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information. Mathematics 8:5, pages 799.
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Chi Young Ahn, Taeyoung Ha & Won-Kwang Park. (2019) Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers. Applied Sciences 9:20, pages 4446.
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Won-Kwang Park. (2019) Real-time microwave imaging of unknown anomalies via scattering matrix. Mechanical Systems and Signal Processing 118, pages 658-674.
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Qingquan Zhang, Yao Yao, Ting Zhu, Ziqiao Zhou, Wei Xu, Ping Yi & Sheng Xiao. (2018) Dynamic Enhanced Field Division. ACM Transactions on Sensor Networks 15:1, pages 1-26.
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Carlos Borges & George Biros. (2018) Reconstruction of a compactly supported sound profile in the presence of a random background medium. Inverse Problems 34:11, pages 115007.
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Chrysoula Tsogka & Michalis Apostolopoulos. (2017) A comparative study of data filtering methods for imaging in strongly scattering media. Wave Motion 68, pages 97-113.
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Liliana Borcea & Josselin Garnier. (2016) Robust imaging with electromagnetic waves in noisy environments. Inverse Problems 32:10, pages 105010.
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Yukun Guo, Dietmar Hömberg, Guanghui Hu, Jingzhi Li & Hongyu Liu. (2016) A time domain sampling method for inverse acoustic scattering problems. Journal of Computational Physics 314, pages 647-660.
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Kaitlyn Muller. (2016) The relationship between backprojection and best linear unbiased estimation in synthetic-aperture radar imaging. Inverse Problems and Imaging 10:2, pages 549-561.
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Qingquan Zhang, Ziqiao Zhou, Wei Xu, Jing Qi, Chenxi Guo, Ping Yi, Ting Zhu & Sheng Xiao. (2015) Fingerprint-free tracking with dynamic enhanced field division. Fingerprint-free tracking with dynamic enhanced field division.
Habib Ammari, Josselin Garnier & Vincent Jugnon. (2015) Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Discrete & Continuous Dynamical Systems - S 8:3, pages 389-417.
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Jingzhi Li, Hongyu Liu & Jun Zou. (2014) Locating Multiple Multiscale Acoustic Scatterers. Multiscale Modeling & Simulation 12:3, pages 927-952.
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Victor A. Kovtunenko & Karl Kunisch. (2014) High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging. SIAM Journal on Control and Optimization 52:1, pages 773-796.
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Habib Ammari, Junqing Chen, Zhiming Chen, Josselin Garnier & Darko Volkov. (2014) Target detection and characterization from electromagnetic induction data. Journal de Mathématiques Pures et Appliquées 101:1, pages 54-75.
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Mehdi Benhamouche, Laurent Bernard, Mohammed Serhir, Lionel Pichon & Dominique Lesselier. (2013) Localization of metal targets by time reversal of electromagnetic waves. The European Physical Journal Applied Physics 64:2, pages 24512.
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Ting Zhang, Patrick C. Chaumet, Anne Sentenac & Kamal Belkebir. (2013) Three-dimensional imaging of targets buried in a cluttered semi-infinite medium. Journal of Applied Physics 114:14.
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Habib Ammari, Hyeonbae Kang, Hyundae Lee & Jisun Lim. (2012) Boundary Perturbations Due to the Presence of Small Linear Cracks in an Elastic Body. Journal of Elasticity 113:1, pages 75-91.
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Cédric Bellis, Marc Bonnet & Fioralba Cakoni. (2013) Acoustic inverse scattering using topological derivative of far-field measurements-based L 2 cost functionals . Inverse Problems 29:7, pages 075012.
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Jingzhi Li, Hongyu Liu & Qi Wang. (2013) Locating Multiple Multiscale Electromagnetic Scatterers by a Single Far-Field Measurement. SIAM Journal on Imaging Sciences 6:4, pages 2285-2309.
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J Torquil Smith & James G Berryman. (2012) Time-reversal of electromagnetic scattering for small scatterer classification. Inverse Problems 28:12, pages 125011.
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Ting Zhang, Patrick C Chaumet, Emeric Mudry, Anne Sentenac & Kamal Belkebir. (2012) Electromagnetic wave imaging of targets buried in a cluttered medium using a hybrid inversion-DORT method. Inverse Problems 28:12, pages 125008.
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X Y Zhang, H Tortel, A Litman & J-M Geffrin. (2012) An extended-DORT method and its application in a cavity configuration. Inverse Problems 28:11, pages 115008.
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Rencheng Song, Yu Zhong & Xudong Chen. (2012) A multi-dimensional sampling method for locating small scatterers. Inverse Problems 28:11, pages 115004.
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Rencheng Song, Xudong Chen & Yu Zhong. (2012) Imaging small three-dimensional elastic inclusions by an enhanced multiple signal classification method. The Journal of the Acoustical Society of America 132:4, pages 2420-2426.
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Dong Heping, Ma Fuming & Zhang Deyue. (2012) Music algorithm for locating point-like scatterers contained in a sample on flat substrate. Acta Mathematica Scientia 32:4, pages 1647-1661.
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L. Borcea, F. González del Cueto, G. Papanicolaou & C. Tsogka. (2012) Filtering Deterministic Layer Effects in Imaging. SIAM Review 54:4, pages 757-798.
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