We investigate the depinning transition in a dirty periodic medium con
sidering a model of layered charge density waves asa prototype system.
We find that depinning from strong disorder occurs via a two stage pr
ocess where, first, the pinned system experiences a continuous transit
ion into a plastically sliding state and undergoes a second sharp hyst
eretic transition into a coherently moving 3D state at In the weakly d
isordered system the depinning into a coherently sliding state remains
higher drives; continuous.