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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 3 — Jan. 30, 2012
  • pp: 2613–2625

Improving resolution of miniature spectrometers by exploiting sparse nature of signals

J. Oliver, Woongbi Lee, Sangjun Park, and Heung-No Lee  »View Author Affiliations

Optics Express, Vol. 20, Issue 3, pp. 2613-2625 (2012)

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In this paper, we present a signal processing approach to improve the resolution of a spectrometer with a fixed number of low-cost, non-ideal filters. We aim to show that the resolution can be improved beyond the limit set by the number of filters by exploiting the sparse nature of a signal spectrum. We consider an underdetermined system of linear equations as a model for signal spectrum estimation. We design a non-negative L 1 norm minimization algorithm for solving the system of equations. We demonstrate that the resolution can be improved multiple times by using the proposed algorithm.

© 2012 OSA

OCIS Codes
(100.6640) Image processing : Superresolution
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(300.6320) Spectroscopy : Spectroscopy, high-resolution

ToC Category:

Original Manuscript: December 2, 2011
Revised Manuscript: January 4, 2012
Manuscript Accepted: January 5, 2012
Published: January 20, 2012

Virtual Issues
Vol. 7, Iss. 3 Virtual Journal for Biomedical Optics

J. Oliver, Woongbi Lee, Sangjun Park, and Heung-No Lee, "Improving resolution of miniature spectrometers by exploiting sparse nature of signals," Opt. Express 20, 2613-2625 (2012)

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