An algorithm for parameter estimation in multidimensional media

Author

Fernandez-berdaguer, Elena M.

Author_Institution

Dept. de Math., Buenos Aires Univ., Argentina

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

2311

Abstract

We present the mathematical basis for an algorithm based on the adjoint method to locate points that provide an approximate solution to the parameter estimation problem for the acoustic model. The parameter belongs to infinite-dimensional sets. We state conditions under which the existence of the directional derivative of the solution with respect to the parameter exists in some dense set of directions of the set of parameters. This derivative is the solution of a differential boundary value problem. The adjoint problem is presented. We state a result on the convergence of the iterations

Keywords

acoustic wave propagation; boundary-value problems; convergence; inverse problems; iterative methods; multidimensional systems; parameter estimation; acoustic model; boundary value problem; convergence; directional derivative; infinite-dimensional systems; inverse problem; iterative method; parameter estimation; Acoustic imaging; Boundary conditions; Boundary value problems; Integral equations; Least squares approximation; Mathematical model; Multidimensional systems; Network address translation; Parameter estimation; Remote sensing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758689

Filename

758689