Eigen-coordinates: New method of analytical functions identification in experimental measurements

被引：35

作者：

Nigmatullin, RR ^{[1
]}

机构：

[1] Kazan State Univ, Kazan 420008, Russia

来源：

APPLIED MAGNETIC RESONANCE | 1998年 / 14卷 / 04期

关键词：

Error Distribution; Relaxation Function; Initial Error; Admissible Function; Slope Line;

D O I：

10.1007/BF03161865

中图分类号：

O64 [物理化学（理论化学）、化学物理学]; O56 [分子物理学、原子物理学];

学科分类号：

070203 ; 070304 ; 081704 ; 1406 ;

摘要：

A new method of identification of the analytical curves describing experimental data is suggested. It is based on the presentation of the wide class of analytical functions in the so-called eigen-coordinates where the function takes the form of sloping lines. The slopes are related to the initial set of fitting parameters and can be found from the linear least square procedure. The method suggested has been checked in detail on the identification of a free induction signal and main statistical distributions which are widely used in physics, technics and applied statistics. The eigen-coordinatees for some relaxation functions have been obtained as well.

引用

页码：601 / 633

页数：33