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.
© 2002 Optical Society of America
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.7410) Image processing : Wavelets
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
R. K. H. Galvão, S. Hadjiloucas, and J. W. Bowen, "Use of the statistical properties of the wavelet-transform coefficients for optimization of integration time in Fourier transform spectrometry," Opt. Lett. 27, 643-645 (2002)