Archive TOULOUSE Archive Ouverte ( OATAO )

نویسندگان

Nicolas Dobigeon

Jean-Yves Tourneret

Cédric Carteret

چکیده

This paper addresses the problem of separating spectral sources which are linearly mixed with unknown proportions. The main difficulty of the problem is to ensure the full additivity (sum-to-one) of the mixing coefficients and non-negativity of sources and mixing coefficients. A Bayesian estimation approach based on Gamma priors was recently proposed to handle the non-negativity constraints in a linear mixture model. However, incorporating the full additivity constraint requires further developments. This paper studies a new hierarchical Bayesian model appropriate to the non-negativity and sum-to-one constraints associated to the sources and the mixing coefficients of linear mixtures. The estimation of the unknown parameters of this model is performed using samples obtained with an appropriate Gibbs algorithm. The performance of the proposed algorithm is evaluated through simulation results conducted on synthetic mixture data. The proposed approach is also applied to the processing of multicomponent chemical mixtures resulting from Raman spectroscopy.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Open Archive Toulouse Archive Ouverte (oatao) Interaction and Coalescence of Large Bubbles Rising in a Thin Gap

To cite this version: Huisman, Sander and Ern, Patricia and Roig, Véronique Interaction and coalescence of large bubbles rising in a thin gap. (2012) PHYSICAL REVIEW E, vol. 85 (n° 2). pp. 027302-1-027302-4. ISSN 1550-2376 Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web whe...

متن کامل