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On the design of optimal measurements for antenna near-field imaging problems

Nordebo, Sven LU and Gustafsson, Mats LU orcid (2006) 2nd Conference on Mathematical Modelling of Wave Phenomena 834. p.234-249
Abstract
A mathematical framework is introduced for optimization of antenna near-field imaging problems, based on the multipole expansion of the electromagnetic field, the Fisher information to quantify the quality of data and use of modern interior point convex optimization techniques. We consider the general problem of optimizing the measurement sensor allocation for parameter estimation in distributed systems, and in particular the problem of optimizing the measurement set-up for antenna near-field estimation. As an application example for antenna near-field imaging, we consider a relevant measurement set-up using cylindrical probing coordinates. The convex optimization problem is examined using duality theory, and it is shown that several... (More)
A mathematical framework is introduced for optimization of antenna near-field imaging problems, based on the multipole expansion of the electromagnetic field, the Fisher information to quantify the quality of data and use of modern interior point convex optimization techniques. We consider the general problem of optimizing the measurement sensor allocation for parameter estimation in distributed systems, and in particular the problem of optimizing the measurement set-up for antenna near-field estimation. As an application example for antenna near-field imaging, we consider a relevant measurement set-up using cylindrical probing coordinates. The convex optimization problem is examined using duality theory, and it is shown that several structural properties of the optimal measurement problem can be exploited in developing an efficient interior point optimization method. In particular, we show that the cylindrical measurement set-up yields a Fisher information matrix with block diagonal structure, a feature which can be directly exploited in the optimization algorithm by reducing the number of dual decision variables. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
AIP Conference Proceedings
volume
834
pages
16 pages
publisher
American Institute of Physics (AIP)
conference name
2nd Conference on Mathematical Modelling of Wave Phenomena
conference location
Växjö, Sweden
conference dates
2005-08-14
external identifiers
  • scopus:33845593910
DOI
10.1063/1.2205807
language
English
LU publication?
yes
id
9a21f4e0-bd1d-4cee-892f-433d81c48e9c (old id 1003543)
date added to LUP
2016-04-04 12:20:30
date last changed
2021-03-31 02:41:24
@inproceedings{9a21f4e0-bd1d-4cee-892f-433d81c48e9c,
  abstract     = {A mathematical framework is introduced for optimization of antenna near-field imaging problems, based on the multipole expansion of the electromagnetic field, the Fisher information to quantify the quality of data and use of modern interior point convex optimization techniques. We consider the general problem of optimizing the measurement sensor allocation for parameter estimation in distributed systems, and in particular the problem of optimizing the measurement set-up for antenna near-field estimation. As an application example for antenna near-field imaging, we consider a relevant measurement set-up using cylindrical probing coordinates. The convex optimization problem is examined using duality theory, and it is shown that several structural properties of the optimal measurement problem can be exploited in developing an efficient interior point optimization method. In particular, we show that the cylindrical measurement set-up yields a Fisher information matrix with block diagonal structure, a feature which can be directly exploited in the optimization algorithm by reducing the number of dual decision variables.},
  author       = {Nordebo, Sven and Gustafsson, Mats},
  booktitle    = {AIP Conference Proceedings},
  language     = {eng},
  pages        = {234--249},
  publisher    = {American Institute of Physics (AIP)},
  title        = {On the design of optimal measurements for antenna near-field imaging problems},
  url          = {http://dx.doi.org/10.1063/1.2205807},
  doi          = {10.1063/1.2205807},
  volume       = {834},
  year         = {2006},
}