OSA's Digital Library

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


View Full Text Article

Acrobat PDF (100 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. I. Daubechies, Ten Lectures on Wavelets (Society of Industrial and Applied Mathematics, Philadelphia, Pa., 1992).
  2. O. Rioul and M. Vetterli, IEEE Signal Process. Mag. 8, 14 (1991).
  3. H. Martens and T. Naes, Multivariate Calibration (Wiley, London, 1993).
  4. B. K. Alsberg, A. M. Woodward, M. K. Winson, J. J. Rowland, and D. B. Kell, Anal. Chim. Acta 368, 29 (1998).
  5. B. K. Alsberg, A. M. Woodward, and D. B. Kell, Chemom. Intell. Lab. Syst. 37, 215 (1997).
  6. U. L. Pen, Philos. Trans. R. Soc. London Ser. A 357, 2561 (1999).
  7. R. R. Coifman and M. V. Wickerhauser, IEEE Eng. Med. Biol. Mag. 14, 578 (1995).
  8. J. R. Birch and T. J. Parker, Infrared and Millimeter Waves 2: Instrumentation (Academic, San Diego, 1979), p. 137.
  9. L. Duvillaret, F. Garet, and J. L. Coutaz, J. Opt. Soc. Am. B 17, 452 (2000).
  10. Z. Jiang and X.-C. Zhang, Opt. Lett. 23, 1114 (1998).
  11. B. B. Hu and M. C. Nuss, Opt. Lett. 20, 1716 (1995).
  12. D. M. Mittleman, S. Hunsche, and M. C. Nuss, Opt. Lett. 22, 904 (1997).
  13. P. Moulin, M. Anitescu, K. O. Kortanke, and F. A. Potra, IEEE Trans. Signal Process. 45, 2160 (1997).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited