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Fisher information analysis for two-dimensional microwave tomography

Nordebo, Sven LU ; Gustafsson, Mats LU and Nilsson, Börje (2007) In Inverse Problems 23(3). p.859-877
Abstract
In this paper, a Fisher information analysis is employed to establish some important physical performance bounds in microwave tomography. As a canonical problem, the two-dimensional electromagnetic inverse problem of imaging a cylinder with isotropic dielectric losses is considered. A fixed resolution is analysed by introducing a finite basis, i.e., pixels representing the material properties. The corresponding Cramer-Rao bound for estimating the pixel values is computed based on a calculation of the sensitivity field which is obtained by differentiating the observed field with respect to the estimated parameter. An optimum trade-off between the accuracy and the resolution is defined based on the Cramer-Rao bound, and its application to... (More)
In this paper, a Fisher information analysis is employed to establish some important physical performance bounds in microwave tomography. As a canonical problem, the two-dimensional electromagnetic inverse problem of imaging a cylinder with isotropic dielectric losses is considered. A fixed resolution is analysed by introducing a finite basis, i.e., pixels representing the material properties. The corresponding Cramer-Rao bound for estimating the pixel values is computed based on a calculation of the sensitivity field which is obtained by differentiating the observed field with respect to the estimated parameter. An optimum trade-off between the accuracy and the resolution is defined based on the Cramer-Rao bound, and its application to assess a practical resolution limit in the inverse problem is discussed. Numerical examples are included to illustrate how the Fisher information analysis can be used to investigate the significance of measurement distance, operating frequency and losses in the canonical tomography set-up. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
23
issue
3
pages
859 - 877
publisher
IOP Publishing
external identifiers
  • wos:000246789100001
  • scopus:34249681830
ISSN
0266-5611
DOI
10.1088/0266-5611/23/3/001
language
English
LU publication?
yes
id
f10cd75b-095c-43a7-bfaf-cca634acb1d5 (old id 657813)
date added to LUP
2007-12-17 16:11:07
date last changed
2017-07-23 03:42:59
@article{f10cd75b-095c-43a7-bfaf-cca634acb1d5,
  abstract     = {In this paper, a Fisher information analysis is employed to establish some important physical performance bounds in microwave tomography. As a canonical problem, the two-dimensional electromagnetic inverse problem of imaging a cylinder with isotropic dielectric losses is considered. A fixed resolution is analysed by introducing a finite basis, i.e., pixels representing the material properties. The corresponding Cramer-Rao bound for estimating the pixel values is computed based on a calculation of the sensitivity field which is obtained by differentiating the observed field with respect to the estimated parameter. An optimum trade-off between the accuracy and the resolution is defined based on the Cramer-Rao bound, and its application to assess a practical resolution limit in the inverse problem is discussed. Numerical examples are included to illustrate how the Fisher information analysis can be used to investigate the significance of measurement distance, operating frequency and losses in the canonical tomography set-up.},
  author       = {Nordebo, Sven and Gustafsson, Mats and Nilsson, Börje},
  issn         = {0266-5611},
  language     = {eng},
  number       = {3},
  pages        = {859--877},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Fisher information analysis for two-dimensional microwave tomography},
  url          = {http://dx.doi.org/10.1088/0266-5611/23/3/001},
  volume       = {23},
  year         = {2007},
}