Use of the statistical properties of the wavelet-transform coefficients for optimization of integration time in Fourier transform spectrometry

Opt Lett. 2002 Apr 15;27(8):643-5. doi: 10.1364/ol.27.000643.

Abstract

We show that an analysis of the mean and variance of discrete wavelet coefficients of coaveraged time-domain interferograms can be used as a specification for determining when to stop coaveraging. We also show that, if a prediction model built in the wavelet domain is used to determine the composition of unknown samples, a stopping criterion for the coaveraging process can be developed with respect to the uncertainty tolerated in the prediction.