It is shown that a subsequential automaton (i.e. an automaton determin
istic with respect to the input) with bounded delay is equivalent to a
n on-line automaton, that is an automaton which is letter-to-letter af
ter an initial period where it reads the input and output nothing, and
subsequential. The results on the synchronisation of automaton with b
ounded delay established so far did not keep the property of being sub
sequential.