Abstract

A method is presented for least-squares curve-fitting of Fourier transform infrared spectra. A demonstration of the determination of xylene solution compositions illustrates the accuracy of the method. Least-squares coefficients are shown to be valuable for the analysis of several polymer systems by digital subtraction of spectra.

Fast Fourier transform, iteration, and least-squares-fit demodulation image processing for analysis of single-carrier fringe pattern

Jie Gu and Fang Chen
J. Opt. Soc. Am. A 12(10) 2159-2164 (1995)

Method of Least Squares and Curve Fitting

H. S. Uhler
J. Opt. Soc. Am. 7(11) 1043-1066 (1923)

Recent applications of FT-IR spectroscopy to polymer systems

J. L. Koenig and M. K. Antoon
Appl. Opt. 17(9) 1374-1385 (1978)

Fourier-transformation, phase-iteration, and least-square-fit image processing for Young's fringe pattern

Jie Gu and Fang Chen
Appl. Opt. 35(2) 232-239 (1996)

Superresolution of Fourier transform spectra by autoregressive model fitting with singular value decomposition

Keiichiroh Minami, Satoshi Kawata, and Shigeo Minami
Appl. Opt. 24(2) 162-167 (1985)