Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
Volume 35, Issue 1, Pages 125-134Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAA.35.000125
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Funding
- Centre National de la Recherche Scientifique (CNRS) (Defi ImagIn, grant CODIM, Ingenierie pour la sante PEPS INSIS)
- Aix-Marseille Universite (AMU) [A*Midex ANR-11-IDEX-0001-02]
- Institut National de la Sante et de la Recherche Medicale (Inserm) [PC201508]
- Horizon Framework Programme (H2020) [713750]
- Regional Council of Provence-Alpes-Cote d'Azur
- Agence Nationale de la Recherche (ANR) (France Bio Imaging) [ANR-10-INSB-04-01]
- Agence Nationale de la Recherche (ANR) (France Life Imaging) [ANR-11-INSB-0006]
- Agence Nationale de la Recherche (ANR) (Labex ENS-ICFP) [ANR-10-IDEX-0001-02 PSL, ANR-10-LABX-0010]
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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. (c) 2017 Optical Society of America
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