Mathematical and Statistical Methods for Multistatic Imaging by Habib AmmariMathematical and Statistical Methods for Multistatic Imaging by Habib Ammari

Mathematical and Statistical Methods for Multistatic Imaging

byHabib Ammari, Josselin Garnier, Wenjia Jing

Paperback | December 17, 2013

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This book covers recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequencies. The waves can be acoustic, elastic or electromagnetic. They are generated by point sources on a transmitter array and measured on a receiver array. An important problem in multistatic imaging is to quantify and understand the trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution. Another fundamental problem is to have a shape representation well suited to solving target imaging problems from multistatic data.

In this book the trade-off between resolution and stability when the data are noisy is addressed. Efficient imaging algorithms are provided and their resolution and stability with respect to noise in the measurements analyzed. It also shows that high-order polarization tensors provide an accurate representation of the target. Moreover, a dictionary-matching technique based on new invariants for the generalized polarization tensors is introduced. Matlab codes for the main algorithms described in this book are provided. Numerical illustrations using these codes in order to highlight the performance and show the limitations of numerical approaches for multistatic imaging are presented.

Title:Mathematical and Statistical Methods for Multistatic ImagingFormat:PaperbackDimensions:361 pagesPublished:December 17, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319025848

ISBN - 13:9783319025841


Table of Contents

Mathematical and Probabilistic Tools.- Small Volume Expansions and Concept of Generalized Polarization Tensors.- Multistatic Configuration.- Localization and Detection Algorithms.- Dictionary Matching and Tracking Algorithms.- Imaging of Extended Targets.- Invisibility.- Numerical Implementations and Results.- References.- Index.