Probabilities of long sequences of identical bits after data scrambling

The automaton approach is used to obtain a theoretical basis and a fast algorithm for analytically calculating the probability of receiving any distinct encoded data sequence, where it is assumed that the data source and the encoder can be modeled as finite stochastic and deterministic automatons, respectively. This algorithm is used for calculating the probabilities of receiving long sequences of identical bits (which are normally seen to be disadvantageous for data communication systems) encoded by various types of data scramblers