On the design of optimal measurements for antenna nearfield imaging problems
(2006) 2nd Conference on Mathematical Modelling of Wave Phenomena In AIP Conference Proceedings 834. p.234249 Abstract
 A mathematical framework is introduced for optimization of antenna nearfield 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 setup for antenna nearfield estimation. As an application example for antenna nearfield imaging, we consider a relevant measurement setup 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 nearfield 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 setup for antenna nearfield estimation. As an application example for antenna nearfield imaging, we consider a relevant measurement setup 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 setup 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:
http://lup.lub.lu.se/record/1003543
 author
 Nordebo, Sven ^{LU} and Gustafsson, Mats ^{LU}
 organization
 publishing date
 2006
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 in
 AIP Conference Proceedings
 volume
 834
 pages
 16 pages
 publisher
 American Institute of Physics
 conference name
 2nd Conference on Mathematical Modelling of Wave Phenomena
 external identifiers

 Scopus:33845593910
 DOI
 10.1063/1.2205807
 language
 English
 LU publication?
 yes
 id
 9a21f4e0bd1d4cee892f433d81c48e9c (old id 1003543)
 date added to LUP
 20080201 14:36:03
 date last changed
 20161013 04:50:58
@misc{9a21f4e0bd1d4cee892f433d81c48e9c, abstract = {A mathematical framework is introduced for optimization of antenna nearfield 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 setup for antenna nearfield estimation. As an application example for antenna nearfield imaging, we consider a relevant measurement setup 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 setup 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}, language = {eng}, pages = {234249}, publisher = {ARRAY(0x97364a0)}, series = {AIP Conference Proceedings}, title = {On the design of optimal measurements for antenna nearfield imaging problems}, url = {http://dx.doi.org/10.1063/1.2205807}, volume = {834}, year = {2006}, }