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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2817–2821

Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy

Samuel T. Thurman and James R. Fienup  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2817-2821 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002817


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Abstract

We derive the spectral signal-to-noise ratio (SNR) trade-offs associated with coarsely sampled Fourier transform spectroscopy using a step-and-integrate measurement scheme. We show that there is no SNR penalty in the shot noise limit and a slight SNR benefit in the detector noise limit for the case of coarse sampling to achieve the same spectral resolution as a baseline Nyquist sampling scenario, where the total detector integration time is the same for both sampling cases.

© 2007 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

ToC Category:
Spectroscopy

History
Original Manuscript: March 5, 2007
Manuscript Accepted: April 26, 2007
Published: August 9, 2007

Citation
Samuel T. Thurman and James R. Fienup, "Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy," J. Opt. Soc. Am. A 24, 2817-2821 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-9-2817

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