Abstract

Classification of different species with Raman measurements is analyzed when a total of exactly $ N $ photons are detected with binary filtered Raman spectra instead of fixing the measuring time. The optimal classification method for this problem leads to classification error probabilities upper-bounded by the Bhattacharyya bound and that are invariant to the multiplication of the spectrum intensities by an unknown factor. Furthermore, it is shown that this approach can be implemented with a number of binary filters smaller than the number of species to discriminate.

© 2019 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Bhattacharyya bound for Raman spectrum classification with a couple of binary filters

Philippe Réfrégier and Frédéric Galland
Opt. Lett. 44(9) 2228-2231 (2019)

Precision of proportion estimation with binary compressed Raman spectrum

Philippe Réfrégier, Camille Scotté, Hilton B. de Aguiar, Hervé Rigneault, and Frédéric Galland
J. Opt. Soc. Am. A 35(1) 125-134 (2018)

Efficient method for evaluation of the diffraction efficiency upper bound of diffractive phase elements

Guangya Zhou, Xiaocong Yuan, Philip Dowd, Yee-Loy Lam, and Yuen-Chuen Chan
Opt. Lett. 25(17) 1288-1290 (2000)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (13)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription