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Simulation results of the upwelling microwave radiation of the precipitating atmosphere are presented. The simulation model accounts for the results of the ground based observation results of the polarized radiation from the rain drops. It has been shown that the 2nd Stokes parameter of the radio brightness temperature of the raining atmosphere in the miilimeter wave frequency band can reach up to 3-5 K. To account for the polarization effects correctly on the data analysis stage, the spatial resolution of the space borne microwave interferometric radiometer should be significantly improved. Keywords: radio brightness temperature, precipitation, polarization, Stokes parameters, interferometric radiometer