Abstract: A data receiver, and transmitter/receiver combination, for transmitting data using statistic coding. A data transmitter transmits statistic encoded data representing successive sample series in a form having a variable number of bits followed by two self-synchronizing codes, each self-synchronizing code including a suffix formed by a codeword or a concatenation of codewords. A data receiver for use with such a transmitted signal includes a correction circuit which can store at least one sample series, and a write counter for forming address codes defining locations of samples to be stored in the storage portion of the correction circuit. Preferably a sequencer provides a window signal which validates the output of a synchronizing signal detector in a time interval when the synchronizing word will probably be received.