A technique includes obtaining seismic data acquired by seismic sensors of a composite seismic signal that is produced by the firings of multiple seismic sources. The technique includes modeling the seismic data as being a function of models for the sources and linear operators and defining desired constraints on the models. The technique includes simultaneously determining the models based on the modeling and the desired constraints. The datasets are generated based on the determined models. Each dataset is indicative of a component of the composite seismic signal and is attributable to a different one of the seismic sources.