In a combined imaging system, including a magnetic resonance system and a UWB radar, interference signals in the received signal of the one imaging system can be caused by the respective other imaging system. Therefore filters which contain in particular adaptive filters are used in order to filter out the interference signals caused in the received signal of the one system by the respective other system. By eliminating the mutually negative influence, the advantages can be completely exploited when operating the different imaging systems at the same time.