Mixing Model In Slitless Spectroscopy And Resulting Blind Methods For Separating Galaxy Spectra
Ahmed Selloum, IRAP, CNRS, Université de Toulouse, UPS-OMP
Shahram Hosseini, IRAP, CNRS, Université de Toulouse, UPS-OMP
Yannick Deville, IRAP, CNRS, Université de Toulouse, UPS-OMP
Thierry Contini, IRAP, CNRS, Université de Toulouse, UPS-OMP

Abstract:
We first derive a mathematical model describing data generated by the spectrograph of the future Euclid space mission. Our model takes into account the special mixing effect resulting from slitless spectroscopy. We then propose two new blind source separation methods, exploiting the non-negativity of data involved in these mixtures and adapted to this special model, to separate the spectra from the mixed data. Our first simulations using realistic and highly noisy data confirm the effectiveness of the proposed methods.