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Cramer-Rao lower bounds for inverse scattering problems of multilayer structures

In English

Författare

Summary, in English

In this paper, the inverse scattering problem of amultilayer structure is analysed with the Fisher information matrix and the Cramer-Rao lower bound (CRLB). The CRLB quantifies the ill-posedness of the inverse scattering problem in terms of resolution versus estimation accuracy based on the observation of noisy data. The limit for feasible inversion is identified by an asymptotic eigenvalue analysis of the Toeplitz Fisher information matrix and an application of the sampling theorem. It is shown that the resolution is inversely proportional to the bandwidth of the reflection data and that the CRLB increases linearly with the number of slabs. The transmission data give a rank-1 Fisher information matrix which can approximately reduce the CRLB by a factor of 4. Moreover, the effect of dispersive material parameters and simultaneous estimation of two material parameters are analysed. The results are illustrated with numerical examples.

Publiceringsår

2006

Språk

Engelska

Sidor

1359-1380

Publikation/Tidskrift/Serie

Inverse Problems

Volym

22

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

IOP Publishing

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0266-5611