Optical Sensors

Spectrum reconstruction for filter-array spectrum sensor from sparse template selection

[+] Author Affiliations
Cheng-Chun Chang

National Taipei University of Technology, Department of Electrical Engineering, Taipei 106, Taiwan

Nan-Ting Lin

National Taipei University of Technology, Department of Electrical Engineering, Taipei 106, Taiwan

Umpei Kurokawa

Nanolambda Incorporated, 510 William Pitt Way, Pittsburgh, Pennsylvania 15238

Byung Il Choi

Nanolambda Incorporated, 510 William Pitt Way, Pittsburgh, Pennsylvania 15238

Opt. Eng. 50(11), 114402 (October 25, 2011). doi:10.1117/1.3645086
History: Received April 04, 2011; Revised August 24, 2011; Accepted September 12, 2011; Published October 25, 2011; Online October 25, 2011
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In recent years, miniature spectrometers have been found to be useful in many applications to resolve spectrum signatures of materials. In this paper, algorithms are proposed to realize a miniature spectrometer using a low-cost filter-array spectrum sensor. Conventionally, the filter-array spectrum sensor can be modeled as an overdetermined problem, and the spectrum can be reconstructed by solving a set of linear equations. In this paper, we instead model the spectrum reconstruction process as an underdetermined problem, and bring up the concept of template-selection by sparse representation. l1 − norm minimization is introduced to achieve a high reconstruction resolution. Both simulation and experimental results show that a superior quality of spectrum reconstruction can be made possible from the presented underdetermined approach.

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© 2011 Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation

Cheng-Chun Chang ; Nan-Ting Lin ; Umpei Kurokawa and Byung Il Choi
"Spectrum reconstruction for filter-array spectrum sensor from sparse template selection", Opt. Eng. 50(11), 114402 (October 25, 2011). ; http://dx.doi.org/10.1117/1.3645086


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