Abstract: A method for digital transmission of messages is indicated, in which each digital transmission symbol in a data stream to be transmitted is represented by one of several different possible signal values. The signal values of the transmission symbols are routed to a predistortion system, which counteracts their distortion in the transmission path, and whose output signal is transmitted through a linked transmission path. The transmitted signal is scanned at the end of the transmission path, it is then processed further and routed to a decoder. The maximum amplitude of the signal in the receiving-end decoder is limited by limiting the number of different possible signal values corresponding to each transmission symbol.