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Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2018

Precision of proportion estimation with binary compressed Raman spectrum

Camille Scotté
Herve Rigneault
Frédéric Galland

Résumé

The precision of proportion estimation with binary filtering of a Raman spectrum mixture is analyzed when the number of binary filters is equal to the number of present species and when the measurements are corrupted with Poisson photon noise. It is shown that the Cramer–Rao bound provides a useful methodology to analyze the performance of such an approach, in particular when the binary filters are orthogonal. It is demonstrated that a simple linear mean square error estimation method is efficient (i.e., has a variance equal to the Cramer–Rao bound). Evolutions of the Cramer–Rao bound are analyzed when the measuring times are optimized or when the considered proportion for binary filter synthesis is not optimized. Two strategies for the appropriate choice of this considered proportion are also analyzed for the binary filter synthesis.
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Commentaire : © 2018 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
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Dates et versions

hal-01715283 , version 1 (27-02-2018)

Identifiants

Citer

Philippe Réfrégier, Camille Scotté, Hilton B de Aguiar, Herve Rigneault, Frédéric Galland. Precision of proportion estimation with binary compressed Raman spectrum. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2018, 35 (1), ⟨10.1364/JOSAA.35.000125⟩. ⟨hal-01715283⟩
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