A method for generating an STL stream includes, in a local adapter serving a transmitter site in a broadcast network includes: receiving a first STL stream, generated by a broadcast gateway and having at least one frame including: a preamble packet, a timing packet, and at least one BB packet carrying at least one PLP; selecting at least one PLP carried by the BB packets, the BB packet(s) carrying the selected PLPs being called selected BB packet(s); generating an output STL stream including at least one frame having at least: a preamble packet, obtained from the preamble packet of the first STL stream, a timing packet, obtained from the timing packet of the first STL stream, and BB packets corresponding to the selected BB packets of the first STL stream. The frames of the first STL stream and the output STL stream have the same duration.