Some randomness properties of cascaded sequences (Corresp.)

The autonomous response sequences of cascade coupled sequence generators are investigated. The -tuple distribution and autocorrelation function of such sequences are related to the -tuple distribution of the component sequences. Cascade coupled pseudonoise (PN) sequence generators with cumpunents have output sequences with an -tuple distribution that approximates the -tuple distribution of a random sequence in which the probability of a one is . The phase shifts are almost uncorrelated for most shifts, but some shifts are highly correlated.