A radio frequency transmission system for a magnetic resonance system includes a radio frequency power amplifier (40) generating an input radio frequency signal that excites magnetic resonance in target nuclei and is designed for feeding an impedance Z0, a multi channel radio frequency coil (18) having N radio frequency channels where N>1, and a power splitter (44) including (i) a parallel radio frequency connection point (50) at which the N channels of the radio frequency coil are connected in parallel to define an output impedance at the parallel radio frequency connection point, and (ii) an impedance matching circuit (54) connecting the radio frequency power amplifier with the radio frequency connection point and configured to provide impedance matching between the radio frequency power amplifier and the output impedance at the connection point.