Synchronization of shift register generators in general distributed sample scramblers

In this paper, a theory is developed to support the synchronization of shift register generators (SRGs) in the general class of distributed sample scramblers (DSSs). In the general DSS, the samples transmitted to the descrambler for its synchronization are freely generated out of the scrambler SRG, a special case of which is to take samples directly from the SRG sequence. To describe this general sampling method, the concept of sampling vectors is introduced. The delayed sample-transmission problem, which is a real problem in practical transmission systems, can be resolved by adopting the sampling vectors. This paper provides a systematic solution to the synchronization problem of the general DSS based on mathematical modeling. It first considers the sampling problem of the SRG state information, and then discusses the correction problem of the descrambler SRG state using the transmitted samples. Applications are attached at the end to demonstrate the developed theory for simple realizations of the DSS for use in the cell-based ATM transmission environment.