This paper investigates the problem of separating galaxy spectra resulting from the slitless spectroscopy system, which can e.g. be used in spatial missions like the WISP survey and the Euclid project. We first derive a physical mixing model linking observed data to source spectra, then simplify it to obtain two different approximate but realistic models. The first simplified model being entirely defined by a few parameters, we propose a semi-blind source separation method which estimates these model parameters together with the source spectra. The second simplified model is linear instantaneous, and has a special form which is used to propose a new blind source separation method exploiting the non-negativity and spatial sparsity of data, as well as the correlation of the target source spectra in different light dispersion directions. Both methods are tested on realistic simulated data and lead to very encouraging results, confirming their effectiveness.

本文研究了分离由无缝光谱系统产生的星系光谱的问题，该系统可用于诸如WISP调查和Euclid项目之类的空间任务。我们首先导出一个物理混合模型，将观察到的数据链接到源光谱，然后对其进行简化以获得两个不同的近似但现实的模型。第一个简化的模型完全由几个参数定义，我们提出了一种半盲源分离方法，该方法将这些模型参数与源光谱一起估算。第二个简化模型是线性瞬时的，并且具有特殊形式，用于提出一种新的盲源分离方法，该方法利用数据的非负性和空间稀疏性以及不同光散射方向上目标源光谱的相关性。 。