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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 34 — Dec. 1, 2011
  • pp: 6377–6383

Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials

Cong Feng, Jingqiu Liang, and Zhongzhu Liang  »View Author Affiliations


Applied Optics, Vol. 50, Issue 34, pp. 6377-6383 (2011)
http://dx.doi.org/10.1364/AO.50.006377


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Abstract

The least-squares approximation of cosine polynomials is used to construct the spectrum from the simulated nonuniform samples of the interferogram given by a step-mirror-based static Fourier transform spectrometer. Numerical and experimental results show the stability of the algorithm and a spectrum-constructing error of 0.03%.

© 2011 Optical Society of America

OCIS Codes
(300.6190) Spectroscopy : Spectrometers
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Spectroscopy

History
Original Manuscript: August 8, 2011
Revised Manuscript: October 6, 2011
Manuscript Accepted: October 6, 2011
Published: November 25, 2011

Citation
Cong Feng, Jingqiu Liang, and Zhongzhu Liang, "Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials," Appl. Opt. 50, 6377-6383 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-34-6377

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