Stream recording assumes e.g. a settop box to be connected to a DVD Streamer. The connection is e.g. of IEEE 1394 type using interfaces including transmitting and receiving firmware. Stream Data include one or more Stream Objects which each can be stored as a Program Stream as described in ISO/IEC 13818-1, Systems. The invention allows to realise Access Units in such DVD Streamer. Each Stream Object contains its own Access Unit data. A trickplay mode, e.g. fast forward, is performed by selecting the desired Access Units which are derived from a mapping list with incremental application packet arrival times.