Abstract: In a digital data transmission system for transmitting a serial digital data stream between a first unit and a second unit connected to a first and second bus, respectively, a first apparatus interfaces the first bus to a transmission medium and a second apparatus interface the second bus to the transmission medium. The first and second unit and the first and second apparatus each have their own clock circuit. The first and second apparatus each comprise an encoder which outputs the serial digital data stream onto the transmission medium corresponding to serial data received from the first bus during a transmission period of the first bus. The encoder outputs the serial digital data stream onto the transmission medium in a predetermined format during a quiescent period of the first bus. A phase relationship of the serial data and the serial digital data stream outputted at the start of transmission between the quiescent period and the transmission period is established in a single bit time.