The paper is devoted to multisource technology - a new direction of geophysics, that provides high performance of seismic operations due to the simultaneous use of several seismic sources. The main task when deploying several sources is the procedure of separating interfering wave fields. In order to solve this problem, the authors propose a method of hyperbolic median filtering that uses the hyperbolicity of travel time curve of reflected waves in the common midpoint gather. Additionally, an inversion algorithm is deployed to correct the amplitudes of signals after separation. The paper discusses theoretical basics of the methods and the reasons for their implementation. In order to verify quality of the algorithm, it was tested on a configuration of seismic sources that allowed us to increase the maximum offset. The presented approach demonstrates acceptable results on synthetic data.