Abstract
This chapter aims to reconstruct GPTs from MSR measurements. We consider the effect of the presence of measurement noise in the MSR on the reconstruction of the GPTs of a small conductivity inclusion. Given a signal-to-noise ratio, we determine the statistical stability in the reconstruction of the GPTs, and show that such an inverse problem is exponentially unstable. This is the well-known ill-posedness of the inverse conductivity problem.
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© 2013 Springer International Publishing Switzerland
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Ammari, H. et al. (2013). Reconstruction of GPTs from MSR Measurements. In: Mathematical and Statistical Methods for Multistatic Imaging. Lecture Notes in Mathematics, vol 2098. Springer, Cham. https://doi.org/10.1007/978-3-319-02585-8_10
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DOI: https://doi.org/10.1007/978-3-319-02585-8_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02584-1
Online ISBN: 978-3-319-02585-8
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