Synthetic aperture radar (SAR) system and method of processing signals in a SAR system. The SAR system includes includes a radar antenna having at least one partial antenna, of which each at least one partial antenna includes a plurality of phase centers with assigned transmit/receive modules and a signal processor for coherent processing of signals of the phase centers. The signal processors include a hybrid beam forming module structured and arranged to digitize and process analog receive signals received by the transmit/receive modules of the phase centers, and to convert the digitally processed receive signals into analog signals. Further, an analog receive network is structured and arranged to combine the analog signals of respective transmit/receive modules with one another to form an output signal.