EIGEN-COORDINATES - NEW METHOD OF ANALYTICAL FUNCTIONS IDENTIFICATIONIN EXPERIMENTAL MEASUREMENTS

Authors
Citation
Rr. Nigmatullin, EIGEN-COORDINATES - NEW METHOD OF ANALYTICAL FUNCTIONS IDENTIFICATIONIN EXPERIMENTAL MEASUREMENTS, Applied magnetic resonance, 14(4), 1998, pp. 601-633
Citations number
7
Categorie Soggetti
Spectroscopy,"Physics, Atomic, Molecular & Chemical
Journal title
ISSN journal
09379347
Volume
14
Issue
4
Year of publication
1998
Pages
601 - 633
Database
ISI
SICI code
0937-9347(1998)14:4<601:E-NMOA>2.0.ZU;2-S
Abstract
A new method of identification of the analytical curves describing exp erimental data is suggested. It is based on the presentation of the wi de class of analytical functions in the so-called eigen-coordinates wh ere the function takes the form of sloping lines. The slopes are relat ed to the initial set of fitting parameters and can be found from the linear least square procedure. The method suggested has been checked i n detail on the identification of a free induction signal and main sta tistical distributions which are widely used in physics, technics and applied statistics. The eigen-coordinatees for some relaxation functio ns have been obtained as well.