Sm. Fakhraie et al., NEURO-COMPUTATION TECHNIQUES IN SAMPLED-DATA ELECTROMAGNETIC-FIELD PROBLEMS, IEEE transactions on magnetics, 30(5), 1994, pp. 3637-3640
In this paper, a technique is introduced by which to extend the applic
ability of the existing analytic solutions of electromagnetic field pr
oblems to cases where random-noisy-sampled data (such as measurement o
utputs) are available, rather than analytic input functions. We addres
s those problems for which a theoretical solution exists in the form o
f a superposition of some basis functions. The algorithm introduced em
ploys this same set of basis functions, and finds the expansion coeffi
cients by the use of an iterative error-minimization technique, which
resembles those found in the process of training of artificial neural
networks. In cases where the expansion functions are orthonormal, guar
anteed fast convergence is proved. As well, we show how neuro-computat
ion techniques can be employed to circumvent the effects of various ty
pes of measurement errors and noise. Satisfactory performance of the a
lgorithm is shown for a test problem driven by random inputs corrupted
with various levels of Gaussian noise.