Kalman-filter-based algorithms of spectrophotometric data correction III. Use of splines for approximation of spectra

Author

Slima, M.B. ; Morawski, Roman Z. ; Barwicz, Andrzej

Author_Institution

Dept. d´´Ingenierie, Quebec Univ., Trois-Rivieres, Que., Canada

Volume

46

Issue

3

fYear

1997

fDate

6/1/1997 12:00:00 AM

Firstpage

685

Lastpage

689

Abstract

An alternative method to that presented in the first paper of the series for improving the resolution of spectrophotometric measurements via processing of spectrometric data is proposed. It is based on the approximation of the solution with a spline function the parameters of which are determined by means of a recursive Kalman-filter-based algorithm. It is assumed in the paper that the model of the spectrophotometric data has the form of an integral, convolution-type equation of the first kind. It is shown, using synthetic and real-world spectrophotometric data, that the proposed method allows for significant reduction of computational requirements as well as an improvement in the quality of correction

Keywords

Kalman filters; computational complexity; filtering theory; spectrophotometry; spectroscopy; spectroscopy computing; splines (mathematics); Kalman-filter-based algorithms; computational requirements; convolution-type equation; quality of correction; recursive Kalman-filter; spectrophotometric data; spectrophotometric data correction; spline function; Approximation algorithms; Convolution; Councils; Differential algebraic equations; Differential equations; Integral equations; Laplace equations; Polynomials; Spectroscopy; Spline;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.585431

Filename

585431