Some randomness properties of cascaded sequences (Corresp.)

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