A process for transmitting and/or storing digital signals from several channels is particularly suitable for transmitting the five channels of a 3/2 stereophonic system, as well as for transmitting two stereo channels and three additional commentary channels. This process allows for example television programmes to be broadcast together with multilingual audio signals. This process is characterised in that only a bit rate of 384 kbit/s is required for transmission, thanks to the reduction of the data to be transmitted. In order to reduce the data, K input channels are reproduced segment by segment on N