A method for de-interleaving S2 received sequences of interleaved received data samples respectively issued from S2 physical channels and to be associated with S1 output transport channels is provided. The S2 received sequences have been delivered, before transmission by a two-stage multi-interleaving device, from S1 initial sequences of ordered data samples respectively associated to S1 initial transport channels. The two-stage multi-interleaving device includes a first stage including S1 interleaving blocks respectively associated to the S1 initial transport channels, a second stage including S2 interleaving blocks respectively associated to the S2 physical channels, and an inter-stage of predetermined data-routing functions connected between the first and second stages.