According to a first aspect, the invention proposes a method for processing a transport stream (TS) received as an input transport stream in a processing device (SDR), the transport stream comprising a plurality of elementary streams (ES), each elementary stream (ES) being a set of transport stream packets having the same Packet IDentifier (PID), at least one of these elementary streams being time-sliced so as to be sent in bursts, timing information indicating within a burst the time to the beginning of the next burst, characterized in that it comprises the steps of: applying a filtering operation to the input transport stream so as to filter out from the input transport stream part or all of one or more time-sliced elementary streams; modifying the bursts scheduling of the input transport stream so as to generate a DVB-H compliant output transport stream from the filtered input transport stream. The invention also relates to a device for processing a transport stream comprising a plurality of time-sliced elementary streams, said device means for performing the method according to the first aspect of the invention, and to a transport stream carrying in-band configuration messages intended to be interpreted by the device for determination of the filtering operation to be applied to the input transport stream.