TY  - BOOK
AU  - Ammari,Habib
AU  - Garnier,Josselin
AU  - Jing,Wenjia
AU  - Kang,Hyeonbae
AU  - Lim,Mikyoung
AU  - Sølna,Knut
AU  - Wang,Han
ED  - SpringerLink (Online service)
TI  - Mathematical and Statistical Methods for Multistatic Imaging
T2  - Lecture Notes in Mathematics,
SN  - 9783319025858
AV  - QC19.2-20.85 
U1  - 519 23
PY  - 2013///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Mathematical physics
KW  - Mathematical Applications in the Physical Sciences
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-02585-8
ER  -