In a transmission device for use in magnetic resonance systems for transmitting magnetic resonance signals from a number of local coils to an evaluation device, the signals are transmitted as optical signals in an optical conductor between a first transmitter-side transducer that transduces electrical signals into optical signals and a second receiver-side transducer that transduces optical signals into electrical signals, and an analog/digital converter is respectively provided between the local coils and the first, transmitter-side transducer. The local coils are connected by electronic elements to a single circuit board, and a number of preamplifiers, the analog/digital converters and a multiplexer are integrated onto the circuit board such that the multiplexer merges the outputs of the multiple analog/digital converters.