Title :
An algorithm for parameter estimation in multidimensional media
Author :
Fernandez-berdaguer, Elena M.
Author_Institution :
Dept. de Math., Buenos Aires Univ., Argentina
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;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758689
