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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 27, Iss. 8 — Apr. 15, 2002
  • pp: 643–645

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

R. K. H. Galvão, S. Hadjiloucas, and J. W. Bowen  »View Author Affiliations


Optics Letters, Vol. 27, Issue 8, pp. 643-645 (2002)
http://dx.doi.org/10.1364/OL.27.000643


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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.

© 2002 Optical Society of America

OCIS Codes
(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

Citation
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)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-27-8-643

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