Abstract

A new algorithm has been developed for the numerical solution of the nonlinear equations resulting from the minimum-negativity constraint that requires far less computer memory and central processing unit time than previous methods successfully used to produce converging solutions. This technique has been effectively applied to synthetic OH and CO₂ infrared spectral lines that were obtained from Fourier transformation of the finite interferogram.

© 1986 Optical Society of America

Fast algorithm for implementing the minimum-negativity constraint for Fourier spectrum extrapolation. Part 2

Samuel J. Howard
Appl. Opt. 27(15) 3190-3196 (1988)

Improved restoration using a modification of the minimum-negativity iterative algorithm

Samuel J. Howard
Appl. Opt. 29(2) 266-274 (1990)

Convergence of Howard’s minimum-negativity-constraint extrapolation algorithm

Kwan F. Cheung, Robert J. Marks, and Les E. Atlas
J. Opt. Soc. Am. A 5(11) 2008-2009 (1988)

Continuation of discrete Fourier spectra using a minimum-negativity constraint

Samuel J. Howard
J. Opt. Soc. Am. 71(7) 819-824 (1981)

Signal recovery in sinusoid-crossing sampling by use of the minimum-negativity constraint

Mary Ann Nazario and Caesar Saloma
Appl. Opt. 37(14) 2953-2963 (1998)