Abstract
In realistic settings data used as input to any inverse scattering algorithm is bandlimited and corrupted by noise. At present there is no satisfactory way to determine the extent to which reconstructions using imperfect data are degraded due to noise and bandlimiting. In this paper, this problem is considered from the point of view of the sensitivity matrix of the mapping that transforms, via an inverse scattering algorithm outlined below,1 reflection data to information about material profiles of media.
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References
J. P. Corones, M. E. Davison and R. J. Krueger, Direct and inverse scattering in the time domain via invariant imbedding equations, Acoust. Soc, Am, 74:1535 (1983).
C. R. Vogel, “A Banach space ODE framework for inverse scattering via invariant imbedding,” preprint.
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© 1985 Plenum Press, New York
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Corones, J.P., Krueger, R.J., Vogel, C.R. (1985). The Effects of Noise and Bandlimiting on a One Dimensional Time Dependent Inverse Scattering Technique. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9421-5_62
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DOI: https://doi.org/10.1007/978-1-4615-9421-5_62
Publisher Name: Springer, Boston, MA
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