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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/657813
- author
- Nordebo, Sven
LU
; Gustafsson, Mats
LU
and Nilsson, Börje
- organization
- publishing date
- 2007
- 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
- 2016-04-01 11:56:18
- date last changed
- 2022-02-10 23:42:10
@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}},
doi = {{10.1088/0266-5611/23/3/001}},
volume = {{23}},
year = {{2007}},
}