Method for processing a sequence of digital signal samples including a first sub-sequence and a second sub-sequence. Forming a first block of samples comprising the first sub-sequence and a second block of samples comprising header samples followed by the second sub-sequence. Demodulating the first block of samples through a digital demodulator to produce a first block of symbols, and the second block of digital signal samples through a second digital demodulator to produce a second block of symbols. The second demodulator implementing a carrier synchronisation or symbol rate synchronisation starting with the header samples, which comprise samples in a number adapted in such a way that the synchronisation is effective before the second demodulator demodulates the second sub-sequence. Reconstructing a sequence of symbols by concatenating the first symbol block with the second symbol block.