Synchronisation process for the variable-length T-codes

A procedure for determining synchronisation status for a T-code decoder is developed from material presented in an earlier work. A general form for a probability-transition matrix description of the T-code synchronisation process is deduced leading to a proof in which the T-codes are shown to be statistically synchronisable. By evaluating the transition probabilities for an elementary example, numerical techniques for determining the synchronisation probabilities distribution (SPD) and the expected synchronisation delay (ESD) are illustrated. Further evaluation of the ESD for a series of eleven minimal augmented binary code sets suggests asymptotic logarithmic growth of the ESD as a function of set augmentation. Practical aspects for determining decoder synchronisation status are discussed with particular reference to the elementary example introduced in the early part of the paper.